id	sid	tid	token	lemma	pos
ejpam-6749	1	1	european	european	PROPN
ejpam-6749	1	2	journal	journal	PROPN
ejpam-6749	1	3	of	of	ADP
ejpam-6749	1	4	pure	pure	ADJ
ejpam-6749	1	5	and	and	CCONJ
ejpam-6749	1	6	applied	applied	ADJ
ejpam-6749	1	7	mathematics	mathematic	NOUN
ejpam-6749	1	8	2025	2025	NUM
ejpam-6749	1	9	,	,	PUNCT
ejpam-6749	1	10	vol	vol	NOUN
ejpam-6749	1	11	.	.	PROPN
ejpam-6749	1	12	18	18	NUM
ejpam-6749	1	13	,	,	PUNCT
ejpam-6749	1	14	issue	issue	NOUN
ejpam-6749	1	15	4	4	NUM
ejpam-6749	1	16	,	,	PUNCT
ejpam-6749	1	17	article	article	NOUN
ejpam-6749	1	18	number	number	NOUN
ejpam-6749	1	19	6749	6749	NUM
ejpam-6749	1	20	issn	issn	PROPN
ejpam-6749	1	21	1307	1307	NUM
ejpam-6749	1	22	-	-	SYM
ejpam-6749	1	23	5543	5543	NUM
ejpam-6749	1	24	–	–	PUNCT
ejpam-6749	1	25	ejpam.com	ejpam.com	X
ejpam-6749	1	26	published	publish	VERB
ejpam-6749	1	27	by	by	ADP
ejpam-6749	1	28	new	new	PROPN
ejpam-6749	1	29	york	york	PROPN
ejpam-6749	1	30	business	business	PROPN
ejpam-6749	1	31	global	global	PROPN
ejpam-6749	1	32	mathematical	mathematical	ADJ
ejpam-6749	1	33	modelling	modelling	NOUN
ejpam-6749	1	34	of	of	ADP
ejpam-6749	1	35	radicalization	radicalization	NOUN
ejpam-6749	1	36	and	and	CCONJ
ejpam-6749	1	37	terrorism	terrorism	NOUN
ejpam-6749	1	38	dynamics	dynamic	NOUN
ejpam-6749	1	39	malicki	malicki	PROPN
ejpam-6749	1	40	zorom1,∗	zorom1,∗	PROPN
ejpam-6749	1	41	,	,	PUNCT
ejpam-6749	1	42	babacar	babacar	NOUN
ejpam-6749	1	43	leye1	leye1	PROPN
ejpam-6749	1	44	,	,	PUNCT
ejpam-6749	1	45	mamadou	mamadou	PROPN
ejpam-6749	1	46	diop2	diop2	PROPN
ejpam-6749	1	47	,	,	PUNCT
ejpam-6749	1	48	serigne	serigne	VERB
ejpam-6749	1	49	m’backé	m’backé	PROPN
ejpam-6749	1	50	coly1	coly1	PROPN
ejpam-6749	1	51	,	,	PUNCT
ejpam-6749	1	52	abdou	abdou	PROPN
ejpam-6749	1	53	lawane	lawane	PROPN
ejpam-6749	1	54	gana2	gana2	PROPN
ejpam-6749	1	55	,	,	PUNCT
ejpam-6749	1	56	mäımouna	mäımouna	PROPN
ejpam-6749	1	57	bologo	bologo	PROPN
ejpam-6749	1	58	/	/	SYM
ejpam-6749	1	59	traore1	traore1	ADV
ejpam-6749	1	60	,	,	PUNCT
ejpam-6749	1	61	dial	dial	NOUN
ejpam-6749	1	62	niang1	niang1	ADJ
ejpam-6749	1	63	1	1	NUM
ejpam-6749	1	64	laboratoire	laboratoire	PROPN
ejpam-6749	1	65	eaux	eaux	X
ejpam-6749	1	66	hydro	hydro	PROPN
ejpam-6749	1	67	-	-	PUNCT
ejpam-6749	1	68	systèmes	systèmes	PROPN
ejpam-6749	1	69	et	et	PROPN
ejpam-6749	1	70	agriculture	agriculture	NOUN
ejpam-6749	1	71	(	(	PUNCT
ejpam-6749	1	72	lehsa	lehsa	PROPN
ejpam-6749	1	73	)	)	PUNCT
ejpam-6749	1	74	,	,	PUNCT
ejpam-6749	1	75	institut	institut	PROPN
ejpam-6749	1	76	international	international	PROPN
ejpam-6749	1	77	d’ingénierie	d’ingénierie	PROPN
ejpam-6749	1	78	de	de	X
ejpam-6749	1	79	l’eau	l’eau	PROPN
ejpam-6749	1	80	et	et	PROPN
ejpam-6749	1	81	de	de	X
ejpam-6749	1	82	l’environnement	l’environnement	PROPN
ejpam-6749	1	83	(	(	PUNCT
ejpam-6749	1	84	2ie	2ie	NOUN
ejpam-6749	1	85	)	)	PUNCT
ejpam-6749	1	86	,	,	PUNCT
ejpam-6749	1	87	ouagadougou	ouagadougou	PROPN
ejpam-6749	1	88	,	,	PUNCT
ejpam-6749	1	89	centre	centre	NOUN
ejpam-6749	1	90	region	region	NOUN
ejpam-6749	1	91	,	,	PUNCT
ejpam-6749	1	92	burkina	burkina	PROPN
ejpam-6749	1	93	faso	faso	PROPN
ejpam-6749	1	94	2	2	NUM
ejpam-6749	1	95	laboratoire	laboratoire	X
ejpam-6749	1	96	ecomatériaux	ecomatériaux	ADP
ejpam-6749	1	97	et	et	NOUN
ejpam-6749	1	98	habitats	habitat	NOUN
ejpam-6749	1	99	durables	durable	NOUN
ejpam-6749	1	100	(	(	PUNCT
ejpam-6749	1	101	lemhad	lemhad	PROPN
ejpam-6749	1	102	)	)	PUNCT
ejpam-6749	1	103	,	,	PUNCT
ejpam-6749	1	104	institut	institut	PROPN
ejpam-6749	1	105	international	international	PROPN
ejpam-6749	1	106	d’ingénierie	d’ingénierie	PROPN
ejpam-6749	1	107	de	de	X
ejpam-6749	1	108	l’eau	l’eau	PROPN
ejpam-6749	1	109	et	et	PROPN
ejpam-6749	1	110	de	de	X
ejpam-6749	1	111	l’environnement	l’environnement	PROPN
ejpam-6749	1	112	(	(	PUNCT
ejpam-6749	1	113	2ie	2ie	NOUN
ejpam-6749	1	114	)	)	PUNCT
ejpam-6749	1	115	,	,	PUNCT
ejpam-6749	1	116	ouagadougou	ouagadougou	PROPN
ejpam-6749	1	117	,	,	PUNCT
ejpam-6749	1	118	centre	centre	NOUN
ejpam-6749	1	119	region	region	NOUN
ejpam-6749	1	120	,	,	PUNCT
ejpam-6749	1	121	burkina	burkina	PROPN
ejpam-6749	1	122	faso	faso	PROPN
ejpam-6749	1	123	abstract	abstract	PROPN
ejpam-6749	1	124	.	.	PUNCT
ejpam-6749	2	1	the	the	DET
ejpam-6749	2	2	central	central	ADJ
ejpam-6749	2	3	sahel	sahel	PROPN
ejpam-6749	2	4	faces	face	VERB
ejpam-6749	2	5	a	a	DET
ejpam-6749	2	6	severe	severe	ADJ
ejpam-6749	2	7	terrorism	terrorism	NOUN
ejpam-6749	2	8	crisis	crisis	NOUN
ejpam-6749	2	9	fueled	fuel	VERB
ejpam-6749	2	10	by	by	ADP
ejpam-6749	2	11	violent	violent	ADJ
ejpam-6749	2	12	extremism	extremism	NOUN
ejpam-6749	2	13	,	,	PUNCT
ejpam-6749	2	14	displacement	displacement	NOUN
ejpam-6749	2	15	,	,	PUNCT
ejpam-6749	2	16	and	and	CCONJ
ejpam-6749	2	17	climatic	climatic	ADJ
ejpam-6749	2	18	shocks	shock	NOUN
ejpam-6749	2	19	.	.	PUNCT
ejpam-6749	3	1	this	this	DET
ejpam-6749	3	2	study	study	NOUN
ejpam-6749	3	3	develops	develop	VERB
ejpam-6749	3	4	a	a	DET
ejpam-6749	3	5	compartmental	compartmental	ADJ
ejpam-6749	3	6	mathematical	mathematical	ADJ
ejpam-6749	3	7	model	model	NOUN
ejpam-6749	3	8	to	to	PART
ejpam-6749	3	9	analyze	analyze	VERB
ejpam-6749	3	10	the	the	DET
ejpam-6749	3	11	dynamics	dynamic	NOUN
ejpam-6749	3	12	between	between	ADP
ejpam-6749	3	13	susceptible	susceptible	ADJ
ejpam-6749	3	14	populations	population	NOUN
ejpam-6749	3	15	,	,	PUNCT
ejpam-6749	3	16	active	active	ADJ
ejpam-6749	3	17	terrorists	terrorist	NOUN
ejpam-6749	3	18	,	,	PUNCT
ejpam-6749	3	19	and	and	CCONJ
ejpam-6749	3	20	internally	internally	ADV
ejpam-6749	3	21	displaced	displace	VERB
ejpam-6749	3	22	persons	person	NOUN
ejpam-6749	3	23	.	.	PUNCT
ejpam-6749	4	1	through	through	ADP
ejpam-6749	4	2	stability	stability	NOUN
ejpam-6749	4	3	analysis	analysis	NOUN
ejpam-6749	4	4	,	,	PUNCT
ejpam-6749	4	5	bifurcation	bifurcation	NOUN
ejpam-6749	4	6	theory	theory	NOUN
ejpam-6749	4	7	,	,	PUNCT
ejpam-6749	4	8	and	and	CCONJ
ejpam-6749	4	9	global	global	ADJ
ejpam-6749	4	10	sensitivity	sensitivity	NOUN
ejpam-6749	4	11	analysis	analysis	NOUN
ejpam-6749	4	12	,	,	PUNCT
ejpam-6749	4	13	we	we	PRON
ejpam-6749	4	14	demonstrate	demonstrate	VERB
ejpam-6749	4	15	that	that	SCONJ
ejpam-6749	4	16	the	the	DET
ejpam-6749	4	17	basic	basic	ADJ
ejpam-6749	4	18	reproduction	reproduction	NOUN
ejpam-6749	4	19	number	number	NOUN
ejpam-6749	4	20	,	,	PUNCT
ejpam-6749	4	21	r0	r0	NOUN
ejpam-6749	4	22	,	,	PUNCT
ejpam-6749	4	23	is	be	AUX
ejpam-6749	4	24	a	a	DET
ejpam-6749	4	25	critical	critical	ADJ
ejpam-6749	4	26	threshold	threshold	NOUN
ejpam-6749	4	27	determining	determine	VERB
ejpam-6749	4	28	whether	whether	SCONJ
ejpam-6749	4	29	terrorism	terrorism	NOUN
ejpam-6749	4	30	is	be	AUX
ejpam-6749	4	31	eliminated	eliminate	VERB
ejpam-6749	4	32	or	or	CCONJ
ejpam-6749	4	33	persists	persist	NOUN
ejpam-6749	4	34	endemically	endemically	ADV
ejpam-6749	4	35	.	.	PUNCT
ejpam-6749	5	1	our	our	PRON
ejpam-6749	5	2	results	result	NOUN
ejpam-6749	5	3	show	show	VERB
ejpam-6749	5	4	that	that	SCONJ
ejpam-6749	5	5	military	military	NOUN
ejpam-6749	5	6	-	-	PUNCT
ejpam-6749	5	7	only	only	ADJ
ejpam-6749	5	8	interventions	intervention	NOUN
ejpam-6749	5	9	are	be	AUX
ejpam-6749	5	10	less	less	ADJ
ejpam-6749	5	11	than	than	ADP
ejpam-6749	5	12	20	20	NUM
ejpam-6749	5	13	%	%	NOUN
ejpam-6749	5	14	effective	effective	ADJ
ejpam-6749	5	15	,	,	PUNCT
ejpam-6749	5	16	while	while	SCONJ
ejpam-6749	5	17	integrated	integrated	ADJ
ejpam-6749	5	18	strategies	strategy	NOUN
ejpam-6749	5	19	combining	combine	VERB
ejpam-6749	5	20	prevention	prevention	NOUN
ejpam-6749	5	21	and	and	CCONJ
ejpam-6749	5	22	deradicalization	deradicalization	NOUN
ejpam-6749	5	23	exceed	exceed	VERB
ejpam-6749	5	24	80	80	NUM
ejpam-6749	5	25	%	%	NOUN
ejpam-6749	5	26	effectiveness	effectiveness	NOUN
ejpam-6749	5	27	.	.	PUNCT
ejpam-6749	6	1	time	time	NOUN
ejpam-6749	6	2	-	-	PUNCT
ejpam-6749	6	3	dependent	dependent	ADJ
ejpam-6749	6	4	analysis	analysis	NOUN
ejpam-6749	6	5	reveals	reveal	VERB
ejpam-6749	6	6	that	that	SCONJ
ejpam-6749	6	7	optimal	optimal	ADJ
ejpam-6749	6	8	strategies	strategy	NOUN
ejpam-6749	6	9	must	must	AUX
ejpam-6749	6	10	adapt	adapt	VERB
ejpam-6749	6	11	from	from	ADP
ejpam-6749	6	12	early	early	ADJ
ejpam-6749	6	13	prevention	prevention	NOUN
ejpam-6749	6	14	to	to	ADP
ejpam-6749	6	15	long	long	ADJ
ejpam-6749	6	16	-	-	PUNCT
ejpam-6749	6	17	term	term	NOUN
ejpam-6749	6	18	rehabilitation	rehabilitation	NOUN
ejpam-6749	6	19	.	.	PUNCT
ejpam-6749	7	1	these	these	DET
ejpam-6749	7	2	findings	finding	NOUN
ejpam-6749	7	3	provide	provide	VERB
ejpam-6749	7	4	quantitative	quantitative	ADJ
ejpam-6749	7	5	support	support	NOUN
ejpam-6749	7	6	for	for	ADP
ejpam-6749	7	7	counter	counter	ADJ
ejpam-6749	7	8	-	-	NOUN
ejpam-6749	7	9	terrorism	terrorism	ADJ
ejpam-6749	7	10	frameworks	framework	NOUN
ejpam-6749	7	11	prioritizing	prioritize	VERB
ejpam-6749	7	12	socioeconomic	socioeconomic	ADJ
ejpam-6749	7	13	development	development	NOUN
ejpam-6749	7	14	over	over	ADP
ejpam-6749	7	15	purely	purely	ADV
ejpam-6749	7	16	military	military	ADJ
ejpam-6749	7	17	solutions	solution	NOUN
ejpam-6749	7	18	,	,	PUNCT
ejpam-6749	7	19	offering	offer	VERB
ejpam-6749	7	20	a	a	DET
ejpam-6749	7	21	pathway	pathway	NOUN
ejpam-6749	7	22	to	to	ADP
ejpam-6749	7	23	sustainable	sustainable	ADJ
ejpam-6749	7	24	stability	stability	NOUN
ejpam-6749	7	25	in	in	ADP
ejpam-6749	7	26	the	the	DET
ejpam-6749	7	27	sahel	sahel	PROPN
ejpam-6749	7	28	.	.	PUNCT
ejpam-6749	8	1	2020	2020	NUM
ejpam-6749	8	2	mathematics	mathematics	PROPN
ejpam-6749	8	3	subject	subject	NOUN
ejpam-6749	8	4	classifications	classification	NOUN
ejpam-6749	8	5	:	:	PUNCT
ejpam-6749	8	6	34d20	34d20	NUM
ejpam-6749	8	7	,	,	PUNCT
ejpam-6749	8	8	34d23	34d23	NUM
ejpam-6749	8	9	,	,	PUNCT
ejpam-6749	8	10	37n25	37n25	NUM
ejpam-6749	8	11	,	,	PUNCT
ejpam-6749	8	12	92d30	92d30	NUM
ejpam-6749	8	13	key	key	ADJ
ejpam-6749	8	14	words	word	NOUN
ejpam-6749	8	15	and	and	CCONJ
ejpam-6749	8	16	phrases	phrase	NOUN
ejpam-6749	8	17	:	:	PUNCT
ejpam-6749	8	18	terrorism	terrorism	NOUN
ejpam-6749	8	19	dynamics	dynamic	NOUN
ejpam-6749	8	20	,	,	PUNCT
ejpam-6749	8	21	mathematical	mathematical	ADJ
ejpam-6749	8	22	modeling	modeling	NOUN
ejpam-6749	8	23	,	,	PUNCT
ejpam-6749	8	24	sensitivity	sensitivity	NOUN
ejpam-6749	8	25	analysis	analysis	NOUN
ejpam-6749	8	26	,	,	PUNCT
ejpam-6749	8	27	counter	counter	NOUN
ejpam-6749	8	28	-	-	NOUN
ejpam-6749	8	29	terrorism	terrorism	ADJ
ejpam-6749	8	30	strategies	strategy	NOUN
ejpam-6749	8	31	,	,	PUNCT
ejpam-6749	8	32	central	central	ADJ
ejpam-6749	8	33	sahel	sahel	PROPN
ejpam-6749	8	34	1	1	NUM
ejpam-6749	8	35	.	.	PUNCT
ejpam-6749	9	1	introduction	introduction	NOUN
ejpam-6749	9	2	recent	recent	ADJ
ejpam-6749	9	3	decades	decade	NOUN
ejpam-6749	9	4	have	have	AUX
ejpam-6749	9	5	witnessed	witness	VERB
ejpam-6749	9	6	a	a	DET
ejpam-6749	9	7	marked	mark	VERB
ejpam-6749	9	8	escalation	escalation	NOUN
ejpam-6749	9	9	in	in	ADP
ejpam-6749	9	10	the	the	DET
ejpam-6749	9	11	sophistication	sophistication	NOUN
ejpam-6749	9	12	and	and	CCONJ
ejpam-6749	9	13	impact	impact	NOUN
ejpam-6749	9	14	of	of	ADP
ejpam-6749	9	15	terrorism	terrorism	NOUN
ejpam-6749	9	16	.	.	PUNCT
ejpam-6749	10	1	the	the	DET
ejpam-6749	10	2	emergence	emergence	NOUN
ejpam-6749	10	3	and	and	CCONJ
ejpam-6749	10	4	entrenchment	entrenchment	NOUN
ejpam-6749	10	5	of	of	ADP
ejpam-6749	10	6	international	international	ADJ
ejpam-6749	10	7	terrorist	terrorist	ADJ
ejpam-6749	10	8	networks	network	NOUN
ejpam-6749	10	9	represent	represent	VERB
ejpam-6749	10	10	a	a	DET
ejpam-6749	10	11	critical	critical	ADJ
ejpam-6749	10	12	development	development	NOUN
ejpam-6749	10	13	,	,	PUNCT
ejpam-6749	10	14	enabling	enable	VERB
ejpam-6749	10	15	coordinated	coordinate	VERB
ejpam-6749	10	16	attacks	attack	NOUN
ejpam-6749	10	17	with	with	ADP
ejpam-6749	10	18	heightened	heightened	ADJ
ejpam-6749	10	19	destructive	destructive	ADJ
ejpam-6749	10	20	potential	potential	NOUN
ejpam-6749	10	21	aimed	aim	VERB
ejpam-6749	10	22	at	at	ADP
ejpam-6749	10	23	destabilizing	destabilizing	ADJ
ejpam-6749	10	24	governments	government	NOUN
ejpam-6749	10	25	and	and	CCONJ
ejpam-6749	10	26	challenging	challenge	VERB
ejpam-6749	10	27	fundamental	fundamental	ADJ
ejpam-6749	10	28	democratic	democratic	ADJ
ejpam-6749	10	29	norms	norm	NOUN
ejpam-6749	10	30	[	[	X
ejpam-6749	10	31	1	1	NUM
ejpam-6749	10	32	]	]	PUNCT
ejpam-6749	10	33	.	.	PUNCT
ejpam-6749	11	1	the	the	DET
ejpam-6749	11	2	transnational	transnational	ADJ
ejpam-6749	11	3	nature	nature	NOUN
ejpam-6749	11	4	of	of	ADP
ejpam-6749	11	5	contemporary	contemporary	ADJ
ejpam-6749	11	6	terrorism	terrorism	NOUN
ejpam-6749	11	7	is	be	AUX
ejpam-6749	11	8	evident	evident	ADJ
ejpam-6749	11	9	,	,	PUNCT
ejpam-6749	11	10	yet	yet	CCONJ
ejpam-6749	11	11	empirical	empirical	ADJ
ejpam-6749	11	12	data	datum	NOUN
ejpam-6749	11	13	∗corresponding	∗corresponde	VERB
ejpam-6749	11	14	author	author	NOUN
ejpam-6749	11	15	.	.	PUNCT
ejpam-6749	12	1	doi	doi	NOUN
ejpam-6749	12	2	:	:	PUNCT
ejpam-6749	12	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6749	https://doi.org/10.29020/nybg.ejpam.v18i4.6749	NOUN
ejpam-6749	12	4	email	email	NOUN
ejpam-6749	12	5	addresses	address	NOUN
ejpam-6749	12	6	:	:	PUNCT
ejpam-6749	12	7	malicki.zorom@2ie-edu.org	malicki.zorom@2ie-edu.org	PROPN
ejpam-6749	12	8	(	(	PUNCT
ejpam-6749	12	9	m.	m.	NOUN
ejpam-6749	12	10	zorom	zorom	PROPN
ejpam-6749	12	11	)	)	PUNCT
ejpam-6749	12	12	,	,	PUNCT
ejpam-6749	12	13	babacar.leye@2ie-edu.org	babacar.leye@2ie-edu.org	PROPN
ejpam-6749	12	14	(	(	PUNCT
ejpam-6749	12	15	b.	b.	PROPN
ejpam-6749	12	16	leye	leye	PROPN
ejpam-6749	12	17	)	)	PUNCT
ejpam-6749	12	18	,	,	PUNCT
ejpam-6749	12	19	mamadou.diop@2ie-edu.org	mamadou.diop@2ie-edu.org	X
ejpam-6749	12	20	(	(	PUNCT
ejpam-6749	12	21	m.	m.	NOUN
ejpam-6749	12	22	diop	diop	PROPN
ejpam-6749	12	23	)	)	PUNCT
ejpam-6749	12	24	,	,	PUNCT
ejpam-6749	12	25	mbacke.coly@2ie-edu.org	mbacke.coly@2ie-edu.org	NOUN
ejpam-6749	12	26	(	(	PUNCT
ejpam-6749	12	27	s.m	s.m	PROPN
ejpam-6749	12	28	.	.	PROPN
ejpam-6749	12	29	coly	coly	PROPN
ejpam-6749	12	30	)	)	PUNCT
ejpam-6749	12	31	,	,	PUNCT
ejpam-6749	12	32	abdou.lawane@2ie-edu.org	abdou.lawane@2ie-edu.org	PROPN
ejpam-6749	12	33	(	(	PUNCT
ejpam-6749	12	34	a.l	a.l	PROPN
ejpam-6749	12	35	.	.	PROPN
ejpam-6749	12	36	gana	gana	PROPN
ejpam-6749	12	37	)	)	PUNCT
ejpam-6749	12	38	,	,	PUNCT
ejpam-6749	12	39	maimouna.bologo@2ie-edu.org	maimouna.bologo@2ie-edu.org	PROPN
ejpam-6749	12	40	(	(	PUNCT
ejpam-6749	12	41	m.	m.	NOUN
ejpam-6749	12	42	bologo	bologo	PROPN
ejpam-6749	12	43	/	/	SYM
ejpam-6749	12	44	traore	traore	NOUN
ejpam-6749	12	45	)	)	PUNCT
ejpam-6749	12	46	,	,	PUNCT
ejpam-6749	12	47	dial.niang@2ie-edu.org	dial.niang@2ie-edu.org	PROPN
ejpam-6749	12	48	(	(	PUNCT
ejpam-6749	12	49	d.	d.	PROPN
ejpam-6749	12	50	niang	niang	PROPN
ejpam-6749	12	51	)	)	PUNCT
ejpam-6749	12	52	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6749	13	1	1	1	NUM
ejpam-6749	13	2	copyright	copyright	NOUN
ejpam-6749	13	3	:	:	PUNCT
ejpam-6749	13	4	©	©	PROPN
ejpam-6749	13	5	2025	2025	NUM
ejpam-6749	13	6	the	the	DET
ejpam-6749	13	7	author(s	author(s	NOUN
ejpam-6749	13	8	)	)	PUNCT
ejpam-6749	13	9	.	.	PUNCT
ejpam-6749	14	1	(	(	PUNCT
ejpam-6749	14	2	cc	cc	NOUN
ejpam-6749	14	3	by	by	ADP
ejpam-6749	14	4	-	-	PUNCT
ejpam-6749	14	5	nc	nc	PROPN
ejpam-6749	14	6	4.0	4.0	NUM
ejpam-6749	14	7	)	)	PUNCT
ejpam-6749	14	8	m.	m.	NOUN
ejpam-6749	14	9	zorom	zorom	NOUN
ejpam-6749	14	10	et	et	PROPN
ejpam-6749	14	11	al	al	PROPN
ejpam-6749	14	12	.	.	PUNCT
ejpam-6749	14	13	/	/	SYM
ejpam-6749	14	14	eur	eur	PROPN
ejpam-6749	14	15	.	.	PUNCT
ejpam-6749	15	1	j.	j.	PROPN
ejpam-6749	15	2	pure	pure	PROPN
ejpam-6749	15	3	appl	appl	PROPN
ejpam-6749	15	4	.	.	PROPN
ejpam-6749	15	5	math	math	PROPN
ejpam-6749	15	6	,	,	PUNCT
ejpam-6749	15	7	18	18	NUM
ejpam-6749	15	8	(	(	PUNCT
ejpam-6749	15	9	4	4	NUM
ejpam-6749	15	10	)	)	PUNCT
ejpam-6749	15	11	(	(	PUNCT
ejpam-6749	15	12	2025	2025	NUM
ejpam-6749	15	13	)	)	PUNCT
ejpam-6749	15	14	,	,	PUNCT
ejpam-6749	15	15	6749	6749	NUM
ejpam-6749	15	16	2	2	NUM
ejpam-6749	15	17	of	of	ADP
ejpam-6749	15	18	47	47	NUM
ejpam-6749	15	19	reveals	reveal	VERB
ejpam-6749	15	20	its	its	PRON
ejpam-6749	15	21	concentrated	concentrated	ADJ
ejpam-6749	15	22	impact	impact	NOUN
ejpam-6749	15	23	in	in	ADP
ejpam-6749	15	24	the	the	DET
ejpam-6749	15	25	sahel	sahel	PROPN
ejpam-6749	15	26	.	.	PUNCT
ejpam-6749	16	1	according	accord	VERB
ejpam-6749	16	2	to	to	ADP
ejpam-6749	16	3	the	the	DET
ejpam-6749	16	4	global	global	ADJ
ejpam-6749	16	5	terrorism	terrorism	PROPN
ejpam-6749	16	6	index	index	PROPN
ejpam-6749	16	7	,	,	PUNCT
ejpam-6749	16	8	burkina	burkina	PROPN
ejpam-6749	16	9	faso	faso	PROPN
ejpam-6749	16	10	,	,	PUNCT
ejpam-6749	16	11	nigeria	nigeria	PROPN
ejpam-6749	16	12	,	,	PUNCT
ejpam-6749	16	13	mali	mali	VERB
ejpam-6749	16	14	,	,	PUNCT
ejpam-6749	16	15	and	and	CCONJ
ejpam-6749	16	16	niger	niger	PROPN
ejpam-6749	16	17	rank	rank	NOUN
ejpam-6749	16	18	4th	4th	ADJ
ejpam-6749	16	19	,	,	PUNCT
ejpam-6749	16	20	6th	6th	ADJ
ejpam-6749	16	21	,	,	PUNCT
ejpam-6749	16	22	7th	7th	ADJ
ejpam-6749	16	23	,	,	PUNCT
ejpam-6749	16	24	and	and	CCONJ
ejpam-6749	16	25	8th	8th	ADJ
ejpam-6749	16	26	worldwide	worldwide	ADV
ejpam-6749	16	27	,	,	PUNCT
ejpam-6749	16	28	respectively	respectively	ADV
ejpam-6749	16	29	,	,	PUNCT
ejpam-6749	16	30	positioning	position	VERB
ejpam-6749	16	31	them	they	PRON
ejpam-6749	16	32	directly	directly	ADV
ejpam-6749	16	33	behind	behind	ADP
ejpam-6749	16	34	afghanistan	afghanistan	PROPN
ejpam-6749	16	35	,	,	PUNCT
ejpam-6749	16	36	iraq	iraq	PROPN
ejpam-6749	16	37	,	,	PUNCT
ejpam-6749	16	38	and	and	CCONJ
ejpam-6749	16	39	somalia	somalia	PROPN
ejpam-6749	17	1	[	[	X
ejpam-6749	17	2	2	2	NUM
ejpam-6749	17	3	]	]	PUNCT
ejpam-6749	17	4	.	.	PUNCT
ejpam-6749	18	1	characterized	characterize	VERB
ejpam-6749	18	2	as	as	ADP
ejpam-6749	18	3	an	an	DET
ejpam-6749	18	4	islamist	islamist	ADJ
ejpam-6749	18	5	insurgency	insurgency	NOUN
ejpam-6749	18	6	,	,	PUNCT
ejpam-6749	18	7	the	the	DET
ejpam-6749	18	8	sahel	sahel	PROPN
ejpam-6749	18	9	conflict	conflict	NOUN
ejpam-6749	18	10	pits	pit	VERB
ejpam-6749	18	11	state	state	NOUN
ejpam-6749	18	12	forces	force	NOUN
ejpam-6749	18	13	of	of	ADP
ejpam-6749	18	14	mali	mali	ADJ
ejpam-6749	18	15	,	,	PUNCT
ejpam-6749	18	16	niger	niger	NOUN
ejpam-6749	18	17	,	,	PUNCT
ejpam-6749	18	18	mauritania	mauritania	NOUN
ejpam-6749	18	19	,	,	PUNCT
ejpam-6749	18	20	burkina	burkina	PROPN
ejpam-6749	18	21	faso	faso	PROPN
ejpam-6749	18	22	,	,	PUNCT
ejpam-6749	18	23	and	and	CCONJ
ejpam-6749	18	24	chad	chad	VERB
ejpam-6749	18	25	against	against	ADP
ejpam-6749	18	26	salafi	salafi	PROPN
ejpam-6749	18	27	-	-	PUNCT
ejpam-6749	18	28	jihadist	jihadist	NOUN
ejpam-6749	18	29	groups	group	NOUN
ejpam-6749	18	30	operating	operate	VERB
ejpam-6749	18	31	under	under	ADP
ejpam-6749	18	32	the	the	DET
ejpam-6749	18	33	ideological	ideological	ADJ
ejpam-6749	18	34	and/or	and/or	CCONJ
ejpam-6749	18	35	operational	operational	ADJ
ejpam-6749	18	36	banners	banner	NOUN
ejpam-6749	18	37	of	of	ADP
ejpam-6749	18	38	al	al	PROPN
ejpam-6749	18	39	-	-	PUNCT
ejpam-6749	18	40	qaeda	qaeda	PROPN
ejpam-6749	18	41	or	or	CCONJ
ejpam-6749	18	42	the	the	DET
ejpam-6749	18	43	islamic	islamic	ADJ
ejpam-6749	18	44	state	state	NOUN
ejpam-6749	19	1	[	[	X
ejpam-6749	19	2	3–8	3–8	NUM
ejpam-6749	19	3	]	]	X
ejpam-6749	19	4	.	.	PUNCT
ejpam-6749	20	1	the	the	DET
ejpam-6749	20	2	sahel	sahel	PROPN
ejpam-6749	20	3	insurgency	insurgency	NOUN
ejpam-6749	20	4	constitutes	constitute	VERB
ejpam-6749	20	5	an	an	DET
ejpam-6749	20	6	indirect	indirect	ADJ
ejpam-6749	20	7	regional	regional	ADJ
ejpam-6749	20	8	consequence	consequence	NOUN
ejpam-6749	20	9	of	of	ADP
ejpam-6749	20	10	the	the	DET
ejpam-6749	20	11	algerian	algerian	ADJ
ejpam-6749	20	12	civil	civil	ADJ
ejpam-6749	20	13	war	war	NOUN
ejpam-6749	20	14	.	.	PUNCT
ejpam-6749	21	1	algerian	algerian	ADJ
ejpam-6749	21	2	islamist	islamist	ADJ
ejpam-6749	21	3	rebels	rebel	NOUN
ejpam-6749	21	4	strategically	strategically	ADV
ejpam-6749	21	5	exploited	exploit	VERB
ejpam-6749	21	6	the	the	DET
ejpam-6749	21	7	sahelian	sahelian	ADJ
ejpam-6749	21	8	desert	desert	NOUN
ejpam-6749	21	9	as	as	ADP
ejpam-6749	21	10	a	a	DET
ejpam-6749	21	11	rear	rear	ADJ
ejpam-6749	21	12	base	base	NOUN
ejpam-6749	21	13	from	from	ADP
ejpam-6749	21	14	the	the	DET
ejpam-6749	21	15	early	early	ADJ
ejpam-6749	21	16	2000s	2000s	NUM
ejpam-6749	21	17	onward	onward	ADV
ejpam-6749	22	1	[	[	X
ejpam-6749	22	2	9	9	NUM
ejpam-6749	22	3	]	]	PUNCT
ejpam-6749	22	4	.	.	PUNCT
ejpam-6749	23	1	their	their	PRON
ejpam-6749	23	2	operational	operational	ADJ
ejpam-6749	23	3	profile	profile	NOUN
ejpam-6749	23	4	gradually	gradually	ADV
ejpam-6749	23	5	expanded	expand	VERB
ejpam-6749	23	6	beyond	beyond	ADP
ejpam-6749	23	7	sanctuary	sanctuary	ADJ
ejpam-6749	23	8	provision	provision	NOUN
ejpam-6749	23	9	to	to	PART
ejpam-6749	23	10	encompass	encompass	VERB
ejpam-6749	23	11	guerrilla	guerrilla	NOUN
ejpam-6749	23	12	tactics	tactic	NOUN
ejpam-6749	23	13	,	,	PUNCT
ejpam-6749	23	14	terrorist	terrorist	ADJ
ejpam-6749	23	15	acts	act	NOUN
ejpam-6749	23	16	,	,	PUNCT
ejpam-6749	23	17	and	and	CCONJ
ejpam-6749	23	18	kidnappings	kidnapping	NOUN
ejpam-6749	23	19	.	.	PUNCT
ejpam-6749	24	1	a	a	DET
ejpam-6749	24	2	pivotal	pivotal	ADJ
ejpam-6749	24	3	development	development	NOUN
ejpam-6749	24	4	,	,	PUNCT
ejpam-6749	24	5	however	however	ADV
ejpam-6749	24	6	,	,	PUNCT
ejpam-6749	24	7	was	be	AUX
ejpam-6749	24	8	their	their	PRON
ejpam-6749	24	9	deliberate	deliberate	ADJ
ejpam-6749	24	10	embedding	embed	VERB
ejpam-6749	24	11	within	within	ADP
ejpam-6749	24	12	local	local	ADJ
ejpam-6749	24	13	populations	population	NOUN
ejpam-6749	24	14	and	and	CCONJ
ejpam-6749	24	15	propagation	propagation	NOUN
ejpam-6749	24	16	of	of	ADP
ejpam-6749	24	17	radical	radical	ADJ
ejpam-6749	24	18	islamist	islamist	ADJ
ejpam-6749	24	19	doctrine	doctrine	NOUN
ejpam-6749	24	20	.	.	PUNCT
ejpam-6749	25	1	this	this	DET
ejpam-6749	25	2	process	process	NOUN
ejpam-6749	25	3	fostered	foster	VERB
ejpam-6749	25	4	local	local	ADJ
ejpam-6749	25	5	recruitment	recruitment	NOUN
ejpam-6749	25	6	and	and	CCONJ
ejpam-6749	25	7	led	lead	VERB
ejpam-6749	25	8	to	to	ADP
ejpam-6749	25	9	the	the	DET
ejpam-6749	25	10	genesis	genesis	NOUN
ejpam-6749	25	11	of	of	ADP
ejpam-6749	25	12	new	new	ADJ
ejpam-6749	25	13	,	,	PUNCT
ejpam-6749	25	14	distinctly	distinctly	ADV
ejpam-6749	25	15	localized	localized	ADJ
ejpam-6749	25	16	militant	militant	ADJ
ejpam-6749	25	17	movements	movement	NOUN
ejpam-6749	25	18	,	,	PUNCT
ejpam-6749	25	19	including	include	VERB
ejpam-6749	25	20	ansar	ansar	PROPN
ejpam-6749	25	21	dine	dine	PROPN
ejpam-6749	25	22	,	,	PUNCT
ejpam-6749	25	23	mujao	mujao	NOUN
ejpam-6749	25	24	,	,	PUNCT
ejpam-6749	25	25	and	and	CCONJ
ejpam-6749	25	26	katiba	katiba	VERB
ejpam-6749	25	27	macina	macina	PROPN
ejpam-6749	25	28	[	[	X
ejpam-6749	25	29	10	10	NUM
ejpam-6749	25	30	]	]	PUNCT
ejpam-6749	25	31	.	.	PUNCT
ejpam-6749	26	1	jnim	jnim	PROPN
ejpam-6749	26	2	(	(	PUNCT
ejpam-6749	26	3	group	group	NOUN
ejpam-6749	26	4	for	for	ADP
ejpam-6749	26	5	the	the	DET
ejpam-6749	26	6	support	support	NOUN
ejpam-6749	26	7	of	of	ADP
ejpam-6749	26	8	islam	islam	PROPN
ejpam-6749	26	9	and	and	CCONJ
ejpam-6749	26	10	muslims	muslims	PROPN
ejpam-6749	26	11	,	,	PUNCT
ejpam-6749	26	12	gsim	gsim	ADJ
ejpam-6749	26	13	)	)	PUNCT
ejpam-6749	26	14	accounts	account	VERB
ejpam-6749	26	15	for	for	ADP
ejpam-6749	26	16	more	more	ADJ
ejpam-6749	26	17	than	than	ADP
ejpam-6749	26	18	64	64	NUM
ejpam-6749	26	19	%	%	NOUN
ejpam-6749	26	20	of	of	ADP
ejpam-6749	26	21	sahelian	sahelian	ADJ
ejpam-6749	26	22	militant	militant	ADJ
ejpam-6749	26	23	islamist	islamist	ADJ
ejpam-6749	26	24	violence	violence	NOUN
ejpam-6749	26	25	since	since	SCONJ
ejpam-6749	26	26	2017	2017	NUM
ejpam-6749	26	27	,	,	PUNCT
ejpam-6749	26	28	with	with	ADP
ejpam-6749	26	29	activities	activity	NOUN
ejpam-6749	26	30	documented	document	VERB
ejpam-6749	26	31	from	from	ADP
ejpam-6749	26	32	northern	northern	ADJ
ejpam-6749	26	33	mali	mali	PROPN
ejpam-6749	26	34	to	to	PART
ejpam-6749	26	35	southeastern	southeastern	VERB
ejpam-6749	26	36	burkina	burkina	PROPN
ejpam-6749	26	37	faso	faso	PROPN
ejpam-6749	26	38	.	.	PUNCT
ejpam-6749	27	1	the	the	DET
ejpam-6749	27	2	macina	macina	PROPN
ejpam-6749	27	3	liberation	liberation	NOUN
ejpam-6749	27	4	front	front	NOUN
ejpam-6749	27	5	(	(	PUNCT
ejpam-6749	27	6	mlf	mlf	NOUN
ejpam-6749	27	7	)	)	PUNCT
ejpam-6749	27	8	emerges	emerge	VERB
ejpam-6749	27	9	as	as	ADP
ejpam-6749	27	10	jnim	jnim	NOUN
ejpam-6749	27	11	’s	’s	PART
ejpam-6749	27	12	most	most	ADV
ejpam-6749	27	13	active	active	ADJ
ejpam-6749	27	14	component	component	NOUN
ejpam-6749	27	15	,	,	PUNCT
ejpam-6749	27	16	estimated	estimate	VERB
ejpam-6749	27	17	to	to	PART
ejpam-6749	27	18	perpetrate	perpetrate	VERB
ejpam-6749	27	19	75	75	NUM
ejpam-6749	27	20	%	%	NOUN
ejpam-6749	27	21	of	of	ADP
ejpam-6749	27	22	its	its	PRON
ejpam-6749	27	23	violence	violence	NOUN
ejpam-6749	27	24	.	.	PUNCT
ejpam-6749	28	1	based	base	VERB
ejpam-6749	28	2	in	in	ADP
ejpam-6749	28	3	central	central	ADJ
ejpam-6749	28	4	mali	mali	NOUN
ejpam-6749	28	5	and	and	CCONJ
ejpam-6749	28	6	extending	extend	VERB
ejpam-6749	28	7	into	into	ADP
ejpam-6749	28	8	burkina	burkina	PROPN
ejpam-6749	28	9	faso	faso	PROPN
ejpam-6749	28	10	,	,	PUNCT
ejpam-6749	28	11	the	the	DET
ejpam-6749	28	12	mlf	mlf	NOUN
ejpam-6749	28	13	’s	’s	PART
ejpam-6749	28	14	prominence	prominence	NOUN
ejpam-6749	28	15	underscores	underscore	VERB
ejpam-6749	28	16	a	a	DET
ejpam-6749	28	17	critical	critical	ADJ
ejpam-6749	28	18	characteristic	characteristic	NOUN
ejpam-6749	28	19	of	of	ADP
ejpam-6749	28	20	jnim	jnim	ADJ
ejpam-6749	28	21	factions	faction	NOUN
ejpam-6749	28	22	:	:	PUNCT
ejpam-6749	28	23	their	their	PRON
ejpam-6749	28	24	lack	lack	NOUN
ejpam-6749	28	25	of	of	ADP
ejpam-6749	28	26	broad	broad	ADJ
ejpam-6749	28	27	popular	popular	ADJ
ejpam-6749	28	28	legitimacy	legitimacy	NOUN
ejpam-6749	28	29	.	.	PUNCT
ejpam-6749	29	1	consequently	consequently	ADV
ejpam-6749	29	2	,	,	PUNCT
ejpam-6749	29	3	these	these	DET
ejpam-6749	29	4	groups	group	NOUN
ejpam-6749	29	5	increasingly	increasingly	ADV
ejpam-6749	29	6	exploit	exploit	VERB
ejpam-6749	29	7	local	local	ADJ
ejpam-6749	29	8	criminal	criminal	ADJ
ejpam-6749	29	9	networks	network	NOUN
ejpam-6749	29	10	and	and	CCONJ
ejpam-6749	29	11	engage	engage	VERB
ejpam-6749	29	12	in	in	ADP
ejpam-6749	29	13	attacks	attack	NOUN
ejpam-6749	29	14	against	against	ADP
ejpam-6749	29	15	civilians	civilian	NOUN
ejpam-6749	29	16	,	,	PUNCT
ejpam-6749	29	17	a	a	DET
ejpam-6749	29	18	tactic	tactic	NOUN
ejpam-6749	29	19	notably	notably	ADV
ejpam-6749	29	20	employed	employ	VERB
ejpam-6749	29	21	by	by	ADP
ejpam-6749	29	22	the	the	DET
ejpam-6749	29	23	mlf	mlf	NOUN
ejpam-6749	30	1	[	[	X
ejpam-6749	30	2	11	11	NUM
ejpam-6749	30	3	]	]	PUNCT
ejpam-6749	30	4	.	.	PUNCT
ejpam-6749	31	1	empirical	empirical	ADJ
ejpam-6749	31	2	data	datum	NOUN
ejpam-6749	31	3	reveals	reveal	VERB
ejpam-6749	31	4	a	a	DET
ejpam-6749	31	5	dramatic	dramatic	ADJ
ejpam-6749	31	6	near	near	ADV
ejpam-6749	31	7	-	-	PUNCT
ejpam-6749	31	8	sevenfold	sevenfold	ADJ
ejpam-6749	31	9	increase	increase	NOUN
ejpam-6749	31	10	in	in	ADP
ejpam-6749	31	11	violent	violent	ADJ
ejpam-6749	31	12	events	event	NOUN
ejpam-6749	31	13	linked	link	VERB
ejpam-6749	31	14	to	to	ADP
ejpam-6749	31	15	sahelian	sahelian	VERB
ejpam-6749	31	16	militant	militant	ADJ
ejpam-6749	31	17	islamist	islamist	ADJ
ejpam-6749	31	18	groups	group	NOUN
ejpam-6749	31	19	since	since	SCONJ
ejpam-6749	31	20	2017	2017	NUM
ejpam-6749	31	21	.	.	PUNCT
ejpam-6749	32	1	with	with	ADP
ejpam-6749	32	2	more	more	ADJ
ejpam-6749	32	3	than	than	ADP
ejpam-6749	32	4	1,000	1,000	NUM
ejpam-6749	32	5	incidents	incident	NOUN
ejpam-6749	32	6	documented	document	VERB
ejpam-6749	32	7	in	in	ADP
ejpam-6749	32	8	the	the	DET
ejpam-6749	32	9	preceding	precede	VERB
ejpam-6749	32	10	year	year	NOUN
ejpam-6749	32	11	,	,	PUNCT
ejpam-6749	32	12	the	the	DET
ejpam-6749	32	13	sahel	sahel	PROPN
ejpam-6749	32	14	witnessed	witness	VERB
ejpam-6749	32	15	the	the	DET
ejpam-6749	32	16	sharpest	sharp	ADJ
ejpam-6749	32	17	rise	rise	NOUN
ejpam-6749	32	18	in	in	ADP
ejpam-6749	32	19	extremist	extremist	ADJ
ejpam-6749	32	20	violence	violence	NOUN
ejpam-6749	32	21	across	across	ADP
ejpam-6749	32	22	africa	africa	PROPN
ejpam-6749	32	23	.	.	PUNCT
ejpam-6749	33	1	the	the	DET
ejpam-6749	33	2	resultant	resultant	NOUN
ejpam-6749	33	3	humanitarian	humanitarian	ADJ
ejpam-6749	33	4	and	and	CCONJ
ejpam-6749	33	5	societal	societal	ADJ
ejpam-6749	33	6	toll	toll	NOUN
ejpam-6749	33	7	is	be	AUX
ejpam-6749	33	8	severe	severe	ADJ
ejpam-6749	33	9	:	:	PUNCT
ejpam-6749	33	10	an	an	DET
ejpam-6749	33	11	estimated	estimate	VERB
ejpam-6749	33	12	8,000	8,000	NUM
ejpam-6749	33	13	deaths	death	NOUN
ejpam-6749	33	14	,	,	PUNCT
ejpam-6749	33	15	millions	million	NOUN
ejpam-6749	33	16	displaced	displace	VERB
ejpam-6749	33	17	,	,	PUNCT
ejpam-6749	33	18	pervasive	pervasive	ADJ
ejpam-6749	33	19	attacks	attack	NOUN
ejpam-6749	33	20	on	on	ADP
ejpam-6749	33	21	governance	governance	NOUN
ejpam-6749	33	22	structures	structure	NOUN
ejpam-6749	33	23	and	and	CCONJ
ejpam-6749	33	24	traditional	traditional	ADJ
ejpam-6749	33	25	authorities	authority	NOUN
ejpam-6749	33	26	,	,	PUNCT
ejpam-6749	33	27	the	the	DET
ejpam-6749	33	28	shuttering	shuttering	NOUN
ejpam-6749	33	29	of	of	ADP
ejpam-6749	33	30	thousands	thousand	NOUN
ejpam-6749	33	31	of	of	ADP
ejpam-6749	33	32	educational	educational	ADJ
ejpam-6749	33	33	institutions	institution	NOUN
ejpam-6749	33	34	,	,	PUNCT
ejpam-6749	33	35	and	and	CCONJ
ejpam-6749	33	36	substantial	substantial	ADJ
ejpam-6749	33	37	economic	economic	ADJ
ejpam-6749	33	38	decline	decline	NOUN
ejpam-6749	33	39	[	[	X
ejpam-6749	33	40	11	11	NUM
ejpam-6749	33	41	]	]	PUNCT
ejpam-6749	33	42	.	.	PUNCT
ejpam-6749	34	1	the	the	DET
ejpam-6749	34	2	neutralization	neutralization	NOUN
ejpam-6749	34	3	of	of	ADP
ejpam-6749	34	4	aqim	aqim	NOUN
ejpam-6749	34	5	leader	leader	NOUN
ejpam-6749	34	6	abdelmalek	abdelmalek	PROPN
ejpam-6749	34	7	droukdel	droukdel	PROPN
ejpam-6749	34	8	by	by	ADP
ejpam-6749	34	9	french	french	ADJ
ejpam-6749	34	10	forces	force	NOUN
ejpam-6749	34	11	on	on	ADP
ejpam-6749	34	12	june	june	PROPN
ejpam-6749	34	13	3	3	NUM
ejpam-6749	34	14	,	,	PUNCT
ejpam-6749	34	15	2020	2020	NUM
ejpam-6749	34	16	[	[	X
ejpam-6749	34	17	12	12	NUM
ejpam-6749	34	18	]	]	PUNCT
ejpam-6749	34	19	,	,	PUNCT
ejpam-6749	34	20	highlighted	highlight	VERB
ejpam-6749	34	21	the	the	DET
ejpam-6749	34	22	persistent	persistent	ADJ
ejpam-6749	34	23	insecurity	insecurity	NOUN
ejpam-6749	34	24	plaguing	plague	VERB
ejpam-6749	34	25	the	the	DET
ejpam-6749	34	26	sahel	sahel	PROPN
ejpam-6749	34	27	.	.	PUNCT
ejpam-6749	35	1	paradoxically	paradoxically	ADV
ejpam-6749	35	2	,	,	PUNCT
ejpam-6749	35	3	despite	despite	SCONJ
ejpam-6749	35	4	significant	significant	ADJ
ejpam-6749	35	5	security	security	NOUN
ejpam-6749	35	6	sector	sector	NOUN
ejpam-6749	35	7	investments	investment	NOUN
ejpam-6749	35	8	[	[	X
ejpam-6749	35	9	13	13	NUM
ejpam-6749	35	10	]	]	PUNCT
ejpam-6749	35	11	,	,	PUNCT
ejpam-6749	35	12	violence	violence	NOUN
ejpam-6749	35	13	intensified	intensify	VERB
ejpam-6749	35	14	markedly	markedly	ADV
ejpam-6749	35	15	in	in	ADP
ejpam-6749	35	16	2019	2019	NUM
ejpam-6749	35	17	.	.	PUNCT
ejpam-6749	36	1	the	the	DET
ejpam-6749	36	2	central	central	ADJ
ejpam-6749	36	3	sahel	sahel	PROPN
ejpam-6749	36	4	(	(	PUNCT
ejpam-6749	36	5	mali	mali	PROPN
ejpam-6749	36	6	,	,	PUNCT
ejpam-6749	36	7	burkina	burkina	PROPN
ejpam-6749	36	8	faso	faso	PROPN
ejpam-6749	36	9	,	,	PUNCT
ejpam-6749	36	10	niger	niger	PROPN
ejpam-6749	36	11	)	)	PUNCT
ejpam-6749	36	12	recorded	record	VERB
ejpam-6749	36	13	approximately	approximately	ADV
ejpam-6749	36	14	4,000	4,000	NUM
ejpam-6749	36	15	conflict	conflict	NOUN
ejpam-6749	36	16	-	-	PUNCT
ejpam-6749	36	17	related	relate	VERB
ejpam-6749	36	18	fatalities	fatality	NOUN
ejpam-6749	36	19	representing	represent	VERB
ejpam-6749	36	20	a	a	DET
ejpam-6749	36	21	fivefold	fivefold	ADJ
ejpam-6749	36	22	increase	increase	NOUN
ejpam-6749	36	23	from	from	ADP
ejpam-6749	36	24	the	the	DET
ejpam-6749	36	25	770	770	NUM
ejpam-6749	36	26	deaths	death	NOUN
ejpam-6749	36	27	documented	document	VERB
ejpam-6749	36	28	in	in	ADP
ejpam-6749	36	29	2016	2016	NUM
ejpam-6749	36	30	[	[	X
ejpam-6749	36	31	14	14	NUM
ejpam-6749	36	32	]	]	PUNCT
ejpam-6749	36	33	.	.	PUNCT
ejpam-6749	37	1	burkina	burkina	PROPN
ejpam-6749	37	2	faso	faso	PROPN
ejpam-6749	37	3	experienced	experience	VERB
ejpam-6749	37	4	the	the	DET
ejpam-6749	37	5	most	most	ADV
ejpam-6749	37	6	acute	acute	ADJ
ejpam-6749	37	7	deterioration	deterioration	NOUN
ejpam-6749	37	8	,	,	PUNCT
ejpam-6749	37	9	with	with	ADP
ejpam-6749	37	10	militant	militant	ADJ
ejpam-6749	37	11	islamist	islamist	ADJ
ejpam-6749	37	12	attacks	attack	NOUN
ejpam-6749	37	13	surging	surge	VERB
ejpam-6749	37	14	174	174	NUM
ejpam-6749	37	15	%	%	NOUN
ejpam-6749	37	16	between	between	ADP
ejpam-6749	37	17	2018	2018	NUM
ejpam-6749	37	18	and	and	CCONJ
ejpam-6749	37	19	2019	2019	NUM
ejpam-6749	38	1	[	[	X
ejpam-6749	38	2	15	15	NUM
ejpam-6749	38	3	]	]	PUNCT
ejpam-6749	38	4	,	,	PUNCT
ejpam-6749	38	5	culminating	culminate	VERB
ejpam-6749	38	6	in	in	ADP
ejpam-6749	38	7	1,889	1,889	NUM
ejpam-6749	38	8	fatalities	fatality	NOUN
ejpam-6749	38	9	during	during	ADP
ejpam-6749	38	10	its	its	PRON
ejpam-6749	38	11	deadliest	deadly	ADJ
ejpam-6749	38	12	year	year	NOUN
ejpam-6749	38	13	on	on	ADP
ejpam-6749	38	14	record	record	NOUN
ejpam-6749	38	15	[	[	X
ejpam-6749	38	16	15	15	NUM
ejpam-6749	38	17	]	]	PUNCT
ejpam-6749	38	18	.	.	PUNCT
ejpam-6749	39	1	this	this	DET
ejpam-6749	39	2	erosion	erosion	NOUN
ejpam-6749	39	3	of	of	ADP
ejpam-6749	39	4	state	state	NOUN
ejpam-6749	39	5	authority	authority	NOUN
ejpam-6749	39	6	manifests	manifest	VERB
ejpam-6749	39	7	in	in	ADP
ejpam-6749	39	8	cascading	cascade	VERB
ejpam-6749	39	9	regional	regional	ADJ
ejpam-6749	39	10	crises	crisis	NOUN
ejpam-6749	39	11	:	:	PUNCT
ejpam-6749	39	12	the	the	DET
ejpam-6749	39	13	closure	closure	NOUN
ejpam-6749	39	14	of	of	ADP
ejpam-6749	39	15	over	over	ADP
ejpam-6749	39	16	1,800	1,800	NUM
ejpam-6749	39	17	schools	school	NOUN
ejpam-6749	40	1	[	[	X
ejpam-6749	40	2	16	16	NUM
ejpam-6749	40	3	]	]	X
ejpam-6749	40	4	,	,	PUNCT
ejpam-6749	40	5	mass	mass	ADJ
ejpam-6749	40	6	population	population	NOUN
ejpam-6749	40	7	displacement	displacement	NOUN
ejpam-6749	41	1	[	[	X
ejpam-6749	41	2	17	17	NUM
ejpam-6749	41	3	]	]	PUNCT
ejpam-6749	41	4	,	,	PUNCT
ejpam-6749	41	5	and	and	CCONJ
ejpam-6749	41	6	the	the	DET
ejpam-6749	41	7	expansion	expansion	NOUN
ejpam-6749	41	8	of	of	ADP
ejpam-6749	41	9	ungoverned	ungoverned	ADJ
ejpam-6749	41	10	spaces	space	NOUN
ejpam-6749	41	11	(	(	PUNCT
ejpam-6749	41	12	”	"	PUNCT
ejpam-6749	41	13	grey	grey	ADJ
ejpam-6749	41	14	zones	zone	NOUN
ejpam-6749	41	15	”	"	PUNCT
ejpam-6749	41	16	)	)	PUNCT
ejpam-6749	41	17	where	where	SCONJ
ejpam-6749	41	18	state	state	NOUN
ejpam-6749	41	19	control	control	NOUN
ejpam-6749	41	20	is	be	AUX
ejpam-6749	41	21	absent	absent	ADJ
ejpam-6749	41	22	or	or	CCONJ
ejpam-6749	41	23	mediated	mediate	VERB
ejpam-6749	41	24	through	through	ADP
ejpam-6749	41	25	non	non	ADJ
ejpam-6749	41	26	-	-	ADJ
ejpam-6749	41	27	state	state	ADJ
ejpam-6749	41	28	armed	armed	ADJ
ejpam-6749	41	29	actors	actor	NOUN
ejpam-6749	41	30	[	[	X
ejpam-6749	41	31	18	18	NUM
ejpam-6749	41	32	]	]	PUNCT
ejpam-6749	41	33	.	.	PUNCT
ejpam-6749	42	1	the	the	DET
ejpam-6749	42	2	landscape	landscape	NOUN
ejpam-6749	42	3	of	of	ADP
ejpam-6749	42	4	non	non	ADJ
ejpam-6749	42	5	-	-	ADJ
ejpam-6749	42	6	state	state	ADJ
ejpam-6749	42	7	armed	armed	ADJ
ejpam-6749	42	8	groups	group	NOUN
ejpam-6749	42	9	in	in	ADP
ejpam-6749	42	10	northern	northern	ADJ
ejpam-6749	42	11	mali	mali	PROPN
ejpam-6749	42	12	has	have	AUX
ejpam-6749	42	13	complexified	complexifie	VERB
ejpam-6749	42	14	substantially	substantially	ADV
ejpam-6749	42	15	since	since	SCONJ
ejpam-6749	42	16	2012	2012	NUM
ejpam-6749	42	17	,	,	PUNCT
ejpam-6749	42	18	growing	grow	VERB
ejpam-6749	42	19	quantitatively	quantitatively	ADV
ejpam-6749	42	20	(	(	PUNCT
ejpam-6749	42	21	from	from	ADP
ejpam-6749	42	22	4	4	NUM
ejpam-6749	42	23	to	to	PART
ejpam-6749	42	24	15	15	NUM
ejpam-6749	42	25	groups	group	NOUN
ejpam-6749	42	26	)	)	PUNCT
ejpam-6749	42	27	and	and	CCONJ
ejpam-6749	42	28	qualitatively	qualitatively	ADV
ejpam-6749	42	29	.	.	PUNCT
ejpam-6749	43	1	three	three	NUM
ejpam-6749	43	2	interconnected	interconnected	ADJ
ejpam-6749	43	3	drivers	driver	NOUN
ejpam-6749	43	4	explain	explain	VERB
ejpam-6749	43	5	this	this	DET
ejpam-6749	43	6	evolution	evolution	NOUN
ejpam-6749	43	7	:	:	PUNCT
ejpam-6749	43	8	first	first	ADV
ejpam-6749	43	9	,	,	PUNCT
ejpam-6749	43	10	fission	fission	NOUN
ejpam-6749	43	11	processes	process	NOUN
ejpam-6749	43	12	among	among	ADP
ejpam-6749	43	13	jihadist	jihadist	PROPN
ejpam-6749	43	14	orgam	orgam	NOUN
ejpam-6749	43	15	.	.	PUNCT
ejpam-6749	44	1	zorom	zorom	NOUN
ejpam-6749	44	2	et	et	PROPN
ejpam-6749	44	3	al	al	PROPN
ejpam-6749	44	4	.	.	PUNCT
ejpam-6749	44	5	/	/	SYM
ejpam-6749	44	6	eur	eur	PROPN
ejpam-6749	44	7	.	.	PUNCT
ejpam-6749	45	1	j.	j.	PROPN
ejpam-6749	45	2	pure	pure	PROPN
ejpam-6749	45	3	appl	appl	PROPN
ejpam-6749	45	4	.	.	PROPN
ejpam-6749	45	5	math	math	PROPN
ejpam-6749	45	6	,	,	PUNCT
ejpam-6749	45	7	18	18	NUM
ejpam-6749	45	8	(	(	PUNCT
ejpam-6749	45	9	4	4	NUM
ejpam-6749	45	10	)	)	PUNCT
ejpam-6749	45	11	(	(	PUNCT
ejpam-6749	45	12	2025	2025	NUM
ejpam-6749	45	13	)	)	PUNCT
ejpam-6749	45	14	,	,	PUNCT
ejpam-6749	45	15	6749	6749	NUM
ejpam-6749	45	16	3	3	NUM
ejpam-6749	45	17	of	of	ADP
ejpam-6749	45	18	47	47	NUM
ejpam-6749	45	19	nizations	nization	NOUN
ejpam-6749	45	20	(	(	PUNCT
ejpam-6749	45	21	scissiparity	scissiparity	NOUN
ejpam-6749	45	22	)	)	PUNCT
ejpam-6749	45	23	.	.	PUNCT
ejpam-6749	46	1	second	second	ADJ
ejpam-6749	46	2	,	,	PUNCT
ejpam-6749	46	3	the	the	DET
ejpam-6749	46	4	endogenous	endogenous	ADJ
ejpam-6749	46	5	proliferation	proliferation	NOUN
ejpam-6749	46	6	of	of	ADP
ejpam-6749	46	7	community	community	NOUN
ejpam-6749	46	8	-	-	PUNCT
ejpam-6749	46	9	based	base	VERB
ejpam-6749	46	10	militias	militia	NOUN
ejpam-6749	46	11	,	,	PUNCT
ejpam-6749	46	12	arising	arise	VERB
ejpam-6749	46	13	from	from	ADP
ejpam-6749	46	14	the	the	DET
ejpam-6749	46	15	national	national	ADJ
ejpam-6749	46	16	security	security	NOUN
ejpam-6749	46	17	apparatus	apparatus	NOUN
ejpam-6749	46	18	’s	’s	PART
ejpam-6749	46	19	failure	failure	NOUN
ejpam-6749	46	20	to	to	PART
ejpam-6749	46	21	protect	protect	VERB
ejpam-6749	46	22	civilians	civilian	NOUN
ejpam-6749	46	23	and	and	CCONJ
ejpam-6749	46	24	necessitated	necessitate	VERB
ejpam-6749	46	25	by	by	ADP
ejpam-6749	46	26	localized	localized	ADJ
ejpam-6749	46	27	security	security	NOUN
ejpam-6749	46	28	dilemmas	dilemma	NOUN
ejpam-6749	46	29	vis	vis	X
ejpam-6749	46	30	-	-	PUNCT
ejpam-6749	46	31	à-vis	à-vis	ADJ
ejpam-6749	46	32	rival	rival	ADJ
ejpam-6749	46	33	militias	militia	NOUN
ejpam-6749	46	34	.	.	PUNCT
ejpam-6749	47	1	third	third	ADV
ejpam-6749	47	2	,	,	PUNCT
ejpam-6749	47	3	the	the	DET
ejpam-6749	47	4	deployment	deployment	NOUN
ejpam-6749	47	5	of	of	ADP
ejpam-6749	47	6	multilateral	multilateral	ADJ
ejpam-6749	47	7	(	(	PUNCT
ejpam-6749	47	8	minusma	minusma	NOUN
ejpam-6749	47	9	)	)	PUNCT
ejpam-6749	47	10	and	and	CCONJ
ejpam-6749	47	11	unilateral	unilateral	ADJ
ejpam-6749	47	12	(	(	PUNCT
ejpam-6749	47	13	french	french	ADJ
ejpam-6749	47	14	barkhane	barkhane	PROPN
ejpam-6749	47	15	/	/	SYM
ejpam-6749	47	16	sabre	sabre	PROPN
ejpam-6749	47	17	,	,	PUNCT
ejpam-6749	47	18	chadian	chadian	PROPN
ejpam-6749	47	19	serval	serval	PROPN
ejpam-6749	47	20	contingent	contingent	PROPN
ejpam-6749	47	21	)	)	PUNCT
ejpam-6749	47	22	external	external	ADJ
ejpam-6749	47	23	military	military	ADJ
ejpam-6749	47	24	forces	force	NOUN
ejpam-6749	47	25	.	.	PUNCT
ejpam-6749	48	1	figure	figure	VERB
ejpam-6749	48	2	1	1	NUM
ejpam-6749	48	3	:	:	PUNCT
ejpam-6749	48	4	geospatial	geospatial	ADJ
ejpam-6749	48	5	analysis	analysis	NOUN
ejpam-6749	48	6	of	of	ADP
ejpam-6749	48	7	conflict	conflict	NOUN
ejpam-6749	48	8	event	event	NOUN
ejpam-6749	48	9	distribution	distribution	NOUN
ejpam-6749	48	10	in	in	ADP
ejpam-6749	48	11	the	the	DET
ejpam-6749	48	12	central	central	ADJ
ejpam-6749	48	13	sahel	sahel	NOUN
ejpam-6749	49	1	[	[	X
ejpam-6749	49	2	19	19	NUM
ejpam-6749	49	3	]	]	X
ejpam-6749	49	4	armed	armed	ADJ
ejpam-6749	49	5	groups	group	NOUN
ejpam-6749	49	6	exploit	exploit	VERB
ejpam-6749	49	7	state	state	NOUN
ejpam-6749	49	8	fragility	fragility	NOUN
ejpam-6749	49	9	in	in	ADP
ejpam-6749	49	10	mali	mali	PROPN
ejpam-6749	49	11	,	,	PUNCT
ejpam-6749	49	12	burkina	burkina	PROPN
ejpam-6749	49	13	faso	faso	PROPN
ejpam-6749	49	14	,	,	PUNCT
ejpam-6749	49	15	and	and	CCONJ
ejpam-6749	49	16	niger	niger	NOUN
ejpam-6749	49	17	(	(	PUNCT
ejpam-6749	49	18	figure	figure	NOUN
ejpam-6749	49	19	1	1	NUM
ejpam-6749	49	20	)	)	PUNCT
ejpam-6749	49	21	by	by	ADP
ejpam-6749	49	22	seizing	seize	VERB
ejpam-6749	49	23	artisanal	artisanal	ADJ
ejpam-6749	49	24	gold	gold	NOUN
ejpam-6749	49	25	mines	mine	NOUN
ejpam-6749	49	26	since	since	SCONJ
ejpam-6749	49	27	2016	2016	NUM
ejpam-6749	49	28	.	.	PUNCT
ejpam-6749	50	1	the	the	DET
ejpam-6749	50	2	2012	2012	NUM
ejpam-6749	50	3	identification	identification	NOUN
ejpam-6749	50	4	of	of	ADP
ejpam-6749	50	5	a	a	DET
ejpam-6749	50	6	saharan	saharan	ADJ
ejpam-6749	50	7	gold	gold	NOUN
ejpam-6749	50	8	corridor	corridor	NOUN
ejpam-6749	50	9	(	(	PUNCT
ejpam-6749	50	10	sudan	sudan	PROPN
ejpam-6749	50	11	-	-	PUNCT
ejpam-6749	50	12	mauritania	mauritania	NOUN
ejpam-6749	50	13	)	)	PUNCT
ejpam-6749	50	14	catalyzed	catalyze	VERB
ejpam-6749	50	15	this	this	DET
ejpam-6749	50	16	activity	activity	NOUN
ejpam-6749	50	17	,	,	PUNCT
ejpam-6749	50	18	transforming	transform	VERB
ejpam-6749	50	19	mines	mine	NOUN
ejpam-6749	50	20	into	into	ADP
ejpam-6749	50	21	dual	dual	ADJ
ejpam-6749	50	22	-	-	PUNCT
ejpam-6749	50	23	purpose	purpose	NOUN
ejpam-6749	50	24	assets	asset	NOUN
ejpam-6749	50	25	:	:	PUNCT
ejpam-6749	50	26	revenue	revenue	NOUN
ejpam-6749	50	27	sources	source	NOUN
ejpam-6749	50	28	for	for	ADP
ejpam-6749	50	29	group	group	NOUN
ejpam-6749	50	30	financing	financing	NOUN
ejpam-6749	50	31	and	and	CCONJ
ejpam-6749	50	32	recruitment	recruitment	NOUN
ejpam-6749	50	33	hubs	hub	NOUN
ejpam-6749	50	34	.	.	PUNCT
ejpam-6749	51	1	illicit	illicit	ADJ
ejpam-6749	51	2	transport	transport	NOUN
ejpam-6749	51	3	networks	network	NOUN
ejpam-6749	51	4	now	now	ADV
ejpam-6749	51	5	proliferate	proliferate	VERB
ejpam-6749	51	6	to	to	PART
ejpam-6749	51	7	move	move	VERB
ejpam-6749	51	8	extracted	extract	VERB
ejpam-6749	51	9	gold	gold	NOUN
ejpam-6749	51	10	.	.	PUNCT
ejpam-6749	52	1	this	this	DET
ejpam-6749	52	2	nexus	nexus	NOUN
ejpam-6749	52	3	between	between	ADP
ejpam-6749	52	4	artisanal	artisanal	ADJ
ejpam-6749	52	5	mining	mining	NOUN
ejpam-6749	52	6	,	,	PUNCT
ejpam-6749	52	7	non	non	ADJ
ejpam-6749	52	8	-	-	ADJ
ejpam-6749	52	9	state	state	ADJ
ejpam-6749	52	10	armed	armed	ADJ
ejpam-6749	52	11	actors	actor	NOUN
ejpam-6749	52	12	,	,	PUNCT
ejpam-6749	52	13	and	and	CCONJ
ejpam-6749	52	14	illicit	illicit	ADJ
ejpam-6749	52	15	economies	economy	NOUN
ejpam-6749	52	16	significantly	significantly	ADV
ejpam-6749	52	17	fuels	fuel	VERB
ejpam-6749	52	18	regional	regional	ADJ
ejpam-6749	52	19	violence	violence	NOUN
ejpam-6749	52	20	and	and	CCONJ
ejpam-6749	52	21	transnational	transnational	ADJ
ejpam-6749	52	22	crime	crime	NOUN
ejpam-6749	53	1	[	[	X
ejpam-6749	53	2	20	20	NUM
ejpam-6749	53	3	]	]	PUNCT
ejpam-6749	53	4	.	.	PUNCT
ejpam-6749	54	1	the	the	DET
ejpam-6749	54	2	mathematical	mathematical	ADJ
ejpam-6749	54	3	modeling	modeling	NOUN
ejpam-6749	54	4	of	of	ADP
ejpam-6749	54	5	terrorism	terrorism	NOUN
ejpam-6749	54	6	dynamics	dynamic	NOUN
ejpam-6749	54	7	represents	represent	VERB
ejpam-6749	54	8	an	an	DET
ejpam-6749	54	9	intersection	intersection	NOUN
ejpam-6749	54	10	of	of	ADP
ejpam-6749	54	11	applied	apply	VERB
ejpam-6749	54	12	mathematics	mathematic	NOUN
ejpam-6749	54	13	,	,	PUNCT
ejpam-6749	54	14	social	social	ADJ
ejpam-6749	54	15	science	science	NOUN
ejpam-6749	54	16	,	,	PUNCT
ejpam-6749	54	17	and	and	CCONJ
ejpam-6749	54	18	security	security	NOUN
ejpam-6749	54	19	studies	study	NOUN
ejpam-6749	54	20	.	.	PUNCT
ejpam-6749	55	1	the	the	DET
ejpam-6749	55	2	compartmental	compartmental	ADJ
ejpam-6749	55	3	approach	approach	NOUN
ejpam-6749	55	4	to	to	ADP
ejpam-6749	55	5	modeling	model	VERB
ejpam-6749	55	6	terrorism	terrorism	NOUN
ejpam-6749	55	7	spread	spread	VERB
ejpam-6749	55	8	draws	draw	VERB
ejpam-6749	55	9	inspiration	inspiration	NOUN
ejpam-6749	55	10	from	from	ADP
ejpam-6749	55	11	epidemiological	epidemiological	ADJ
ejpam-6749	55	12	models	model	NOUN
ejpam-6749	55	13	while	while	SCONJ
ejpam-6749	55	14	incorporating	incorporate	VERB
ejpam-6749	55	15	unique	unique	ADJ
ejpam-6749	55	16	features	feature	NOUN
ejpam-6749	55	17	that	that	PRON
ejpam-6749	55	18	reflect	reflect	VERB
ejpam-6749	55	19	the	the	DET
ejpam-6749	55	20	social	social	ADJ
ejpam-6749	55	21	contagion	contagion	NOUN
ejpam-6749	55	22	nature	nature	NOUN
ejpam-6749	55	23	of	of	ADP
ejpam-6749	55	24	radicalization	radicalization	NOUN
ejpam-6749	55	25	processes	process	NOUN
ejpam-6749	55	26	.	.	PUNCT
ejpam-6749	56	1	this	this	DET
ejpam-6749	56	2	approach	approach	NOUN
ejpam-6749	56	3	builds	build	VERB
ejpam-6749	56	4	upon	upon	SCONJ
ejpam-6749	56	5	the	the	DET
ejpam-6749	56	6	foundational	foundational	ADJ
ejpam-6749	56	7	work	work	NOUN
ejpam-6749	56	8	of	of	ADP
ejpam-6749	56	9	some	some	DET
ejpam-6749	56	10	works	work	NOUN
ejpam-6749	56	11	such	such	ADJ
ejpam-6749	56	12	as	as	ADP
ejpam-6749	56	13	[	[	X
ejpam-6749	56	14	21–24	21–24	NUM
ejpam-6749	56	15	]	]	PUNCT
ejpam-6749	56	16	in	in	ADP
ejpam-6749	56	17	infectious	infectious	ADJ
ejpam-6749	56	18	disease	disease	NOUN
ejpam-6749	56	19	modeling	modeling	NOUN
ejpam-6749	56	20	,	,	PUNCT
ejpam-6749	56	21	extended	extend	VERB
ejpam-6749	56	22	to	to	ADP
ejpam-6749	56	23	the	the	DET
ejpam-6749	56	24	context	context	NOUN
ejpam-6749	56	25	of	of	ADP
ejpam-6749	56	26	ideological	ideological	ADJ
ejpam-6749	56	27	transmission	transmission	NOUN
ejpam-6749	56	28	as	as	SCONJ
ejpam-6749	56	29	developed	develop	VERB
ejpam-6749	56	30	by	by	ADP
ejpam-6749	56	31	castillo	castillo	PROPN
ejpam-6749	56	32	-	-	PUNCT
ejpam-6749	56	33	chavez	chavez	PROPN
ejpam-6749	56	34	and	and	CCONJ
ejpam-6749	56	35	song	song	NOUN
ejpam-6749	56	36	[	[	X
ejpam-6749	56	37	25	25	NUM
ejpam-6749	56	38	]	]	PUNCT
ejpam-6749	56	39	.	.	PUNCT
ejpam-6749	57	1	while	while	SCONJ
ejpam-6749	57	2	these	these	DET
ejpam-6749	57	3	existing	exist	VERB
ejpam-6749	57	4	models	model	NOUN
ejpam-6749	57	5	provide	provide	VERB
ejpam-6749	57	6	valuable	valuable	ADJ
ejpam-6749	57	7	insights	insight	NOUN
ejpam-6749	57	8	,	,	PUNCT
ejpam-6749	57	9	they	they	PRON
ejpam-6749	57	10	often	often	ADV
ejpam-6749	57	11	overlook	overlook	VERB
ejpam-6749	57	12	critical	critical	ADJ
ejpam-6749	57	13	realworld	realworld	PROPN
ejpam-6749	57	14	dynamics	dynamic	NOUN
ejpam-6749	57	15	prevalent	prevalent	ADJ
ejpam-6749	57	16	in	in	ADP
ejpam-6749	57	17	contemporary	contemporary	ADJ
ejpam-6749	57	18	conflicts	conflict	NOUN
ejpam-6749	57	19	like	like	ADP
ejpam-6749	57	20	the	the	DET
ejpam-6749	57	21	sahel	sahel	PROPN
ejpam-6749	57	22	crisis	crisis	NOUN
ejpam-6749	57	23	[	[	X
ejpam-6749	57	24	26–30	26–30	NUM
ejpam-6749	57	25	]	]	PUNCT
ejpam-6749	57	26	.	.	PUNCT
ejpam-6749	58	1	the	the	DET
ejpam-6749	58	2	m.	m.	NOUN
ejpam-6749	58	3	zorom	zorom	VERB
ejpam-6749	58	4	et	et	PROPN
ejpam-6749	58	5	al	al	PROPN
ejpam-6749	58	6	.	.	PUNCT
ejpam-6749	58	7	/	/	SYM
ejpam-6749	58	8	eur	eur	PROPN
ejpam-6749	58	9	.	.	PUNCT
ejpam-6749	59	1	j.	j.	PROPN
ejpam-6749	59	2	pure	pure	PROPN
ejpam-6749	59	3	appl	appl	PROPN
ejpam-6749	59	4	.	.	PROPN
ejpam-6749	59	5	math	math	PROPN
ejpam-6749	59	6	,	,	PUNCT
ejpam-6749	59	7	18	18	NUM
ejpam-6749	59	8	(	(	PUNCT
ejpam-6749	59	9	4	4	NUM
ejpam-6749	59	10	)	)	PUNCT
ejpam-6749	59	11	(	(	PUNCT
ejpam-6749	59	12	2025	2025	NUM
ejpam-6749	59	13	)	)	PUNCT
ejpam-6749	59	14	,	,	PUNCT
ejpam-6749	59	15	6749	6749	NUM
ejpam-6749	59	16	4	4	NUM
ejpam-6749	59	17	of	of	ADP
ejpam-6749	59	18	47	47	NUM
ejpam-6749	59	19	novelty	novelty	NOUN
ejpam-6749	59	20	of	of	ADP
ejpam-6749	59	21	the	the	DET
ejpam-6749	59	22	present	present	ADJ
ejpam-6749	59	23	model	model	NOUN
ejpam-6749	59	24	lies	lie	VERB
ejpam-6749	59	25	in	in	ADP
ejpam-6749	59	26	its	its	PRON
ejpam-6749	59	27	integrated	integrated	ADJ
ejpam-6749	59	28	approach	approach	NOUN
ejpam-6749	59	29	that	that	PRON
ejpam-6749	59	30	explicitly	explicitly	ADV
ejpam-6749	59	31	incorporates	incorporate	VERB
ejpam-6749	59	32	internally	internally	ADV
ejpam-6749	59	33	displaced	displace	VERB
ejpam-6749	59	34	persons	person	NOUN
ejpam-6749	59	35	(	(	PUNCT
ejpam-6749	59	36	idps	idps	NOUN
ejpam-6749	59	37	)	)	PUNCT
ejpam-6749	59	38	as	as	ADP
ejpam-6749	59	39	a	a	DET
ejpam-6749	59	40	distinct	distinct	ADJ
ejpam-6749	59	41	compartment	compartment	NOUN
ejpam-6749	59	42	,	,	PUNCT
ejpam-6749	59	43	capturing	capture	VERB
ejpam-6749	59	44	a	a	DET
ejpam-6749	59	45	key	key	ADJ
ejpam-6749	59	46	feedback	feedback	NOUN
ejpam-6749	59	47	loop	loop	NOUN
ejpam-6749	59	48	where	where	SCONJ
ejpam-6749	59	49	violence	violence	NOUN
ejpam-6749	59	50	begets	beget	VERB
ejpam-6749	59	51	displacement	displacement	NOUN
ejpam-6749	59	52	,	,	PUNCT
ejpam-6749	59	53	which	which	PRON
ejpam-6749	59	54	in	in	ADP
ejpam-6749	59	55	turn	turn	NOUN
ejpam-6749	59	56	can	can	AUX
ejpam-6749	59	57	exacerbate	exacerbate	VERB
ejpam-6749	59	58	vulnerabilities	vulnerability	NOUN
ejpam-6749	59	59	to	to	ADP
ejpam-6749	59	60	radicalization	radicalization	NOUN
ejpam-6749	59	61	.	.	PUNCT
ejpam-6749	60	1	furthermore	furthermore	ADV
ejpam-6749	60	2	,	,	PUNCT
ejpam-6749	60	3	unlike	unlike	ADP
ejpam-6749	60	4	models	model	NOUN
ejpam-6749	60	5	focusing	focus	VERB
ejpam-6749	60	6	solely	solely	ADV
ejpam-6749	60	7	on	on	ADP
ejpam-6749	60	8	ideological	ideological	ADJ
ejpam-6749	60	9	transmission	transmission	NOUN
ejpam-6749	60	10	[	[	X
ejpam-6749	60	11	e.g.	e.g.	ADV
ejpam-6749	60	12	,	,	PUNCT
ejpam-6749	60	13	camacho	camacho	PROPN
ejpam-6749	60	14	et	et	PROPN
ejpam-6749	60	15	al	al	PROPN
ejpam-6749	60	16	.	.	PROPN
ejpam-6749	60	17	,	,	PUNCT
ejpam-6749	60	18	2013	2013	NUM
ejpam-6749	61	1	[	[	X
ejpam-6749	61	2	27	27	NUM
ejpam-6749	61	3	]	]	X
ejpam-6749	61	4	]	]	PUNCT
ejpam-6749	61	5	or	or	CCONJ
ejpam-6749	61	6	optimal	optimal	ADJ
ejpam-6749	61	7	resource	resource	NOUN
ejpam-6749	61	8	allocation	allocation	NOUN
ejpam-6749	61	9	[	[	X
ejpam-6749	61	10	e.g.	e.g.	ADV
ejpam-6749	61	11	,	,	PUNCT
ejpam-6749	61	12	udoh	udoh	VERB
ejpam-6749	61	13	et	et	PROPN
ejpam-6749	61	14	al	al	PROPN
ejpam-6749	61	15	.	.	PROPN
ejpam-6749	61	16	,	,	PUNCT
ejpam-6749	61	17	2019[31	2019[31	NUM
ejpam-6749	61	18	]	]	X
ejpam-6749	61	19	]	]	X
ejpam-6749	61	20	,	,	PUNCT
ejpam-6749	61	21	our	our	PRON
ejpam-6749	61	22	framework	framework	NOUN
ejpam-6749	61	23	simultaneously	simultaneously	ADV
ejpam-6749	61	24	integrates	integrate	VERB
ejpam-6749	61	25	terrorist	terrorist	NOUN
ejpam-6749	61	26	-	-	PUNCT
ejpam-6749	61	27	induced	induce	VERB
ejpam-6749	61	28	civilian	civilian	ADJ
ejpam-6749	61	29	mortality	mortality	NOUN
ejpam-6749	61	30	and	and	CCONJ
ejpam-6749	61	31	a	a	DET
ejpam-6749	61	32	deradicalization	deradicalization	NOUN
ejpam-6749	61	33	rate	rate	NOUN
ejpam-6749	61	34	,	,	PUNCT
ejpam-6749	61	35	allowing	allow	VERB
ejpam-6749	61	36	for	for	ADP
ejpam-6749	61	37	a	a	DET
ejpam-6749	61	38	more	more	ADV
ejpam-6749	61	39	holistic	holistic	ADJ
ejpam-6749	61	40	analysis	analysis	NOUN
ejpam-6749	61	41	of	of	ADP
ejpam-6749	61	42	both	both	CCONJ
ejpam-6749	61	43	the	the	DET
ejpam-6749	61	44	violent	violent	ADJ
ejpam-6749	61	45	and	and	CCONJ
ejpam-6749	61	46	rehabilitative	rehabilitative	ADJ
ejpam-6749	61	47	dimensions	dimension	NOUN
ejpam-6749	61	48	of	of	ADP
ejpam-6749	61	49	counter	counter	NOUN
ejpam-6749	61	50	-	-	NOUN
ejpam-6749	61	51	terrorism	terrorism	NOUN
ejpam-6749	61	52	.	.	PUNCT
ejpam-6749	62	1	this	this	DET
ejpam-6749	62	2	structure	structure	NOUN
ejpam-6749	62	3	enables	enable	VERB
ejpam-6749	62	4	the	the	DET
ejpam-6749	62	5	analysis	analysis	NOUN
ejpam-6749	62	6	of	of	ADP
ejpam-6749	62	7	a	a	DET
ejpam-6749	62	8	fundamental	fundamental	ADJ
ejpam-6749	62	9	threshold	threshold	NOUN
ejpam-6749	62	10	dynamics	dynamic	NOUN
ejpam-6749	62	11	via	via	ADP
ejpam-6749	62	12	the	the	DET
ejpam-6749	62	13	basic	basic	ADJ
ejpam-6749	62	14	reproduction	reproduction	NOUN
ejpam-6749	62	15	number	number	NOUN
ejpam-6749	62	16	(	(	PUNCT
ejpam-6749	62	17	r0	r0	NOUN
ejpam-6749	62	18	)	)	PUNCT
ejpam-6749	62	19	,	,	PUNCT
ejpam-6749	62	20	a	a	DET
ejpam-6749	62	21	concept	concept	NOUN
ejpam-6749	62	22	less	less	ADV
ejpam-6749	62	23	explored	explore	VERB
ejpam-6749	62	24	in	in	ADP
ejpam-6749	62	25	this	this	DET
ejpam-6749	62	26	context	context	NOUN
ejpam-6749	62	27	,	,	PUNCT
ejpam-6749	62	28	providing	provide	VERB
ejpam-6749	62	29	a	a	DET
ejpam-6749	62	30	clear	clear	ADJ
ejpam-6749	62	31	quantitative	quantitative	ADJ
ejpam-6749	62	32	target	target	NOUN
ejpam-6749	62	33	for	for	ADP
ejpam-6749	62	34	policymakers	policymaker	NOUN
ejpam-6749	62	35	.	.	PUNCT
ejpam-6749	63	1	by	by	ADP
ejpam-6749	63	2	synthesizing	synthesize	VERB
ejpam-6749	63	3	these	these	DET
ejpam-6749	63	4	elements	element	NOUN
ejpam-6749	63	5	,	,	PUNCT
ejpam-6749	63	6	our	our	PRON
ejpam-6749	63	7	model	model	NOUN
ejpam-6749	63	8	offers	offer	VERB
ejpam-6749	63	9	a	a	DET
ejpam-6749	63	10	more	more	ADV
ejpam-6749	63	11	nuanced	nuanced	ADJ
ejpam-6749	63	12	mathematical	mathematical	ADJ
ejpam-6749	63	13	representation	representation	NOUN
ejpam-6749	63	14	of	of	ADP
ejpam-6749	63	15	the	the	DET
ejpam-6749	63	16	complex	complex	ADJ
ejpam-6749	63	17	interdependencies	interdependency	NOUN
ejpam-6749	63	18	driving	drive	VERB
ejpam-6749	63	19	terrorism	terrorism	NOUN
ejpam-6749	63	20	and	and	CCONJ
ejpam-6749	63	21	displacement	displacement	NOUN
ejpam-6749	63	22	in	in	ADP
ejpam-6749	63	23	the	the	DET
ejpam-6749	63	24	sahel	sahel	PROPN
ejpam-6749	63	25	,	,	PUNCT
ejpam-6749	63	26	filling	fill	VERB
ejpam-6749	63	27	a	a	DET
ejpam-6749	63	28	gap	gap	NOUN
ejpam-6749	63	29	in	in	ADP
ejpam-6749	63	30	the	the	DET
ejpam-6749	63	31	current	current	ADJ
ejpam-6749	63	32	literature	literature	NOUN
ejpam-6749	63	33	.	.	PUNCT
ejpam-6749	64	1	despite	despite	SCONJ
ejpam-6749	64	2	sustained	sustained	ADJ
ejpam-6749	64	3	international	international	ADJ
ejpam-6749	64	4	counterterrorism	counterterrorism	NOUN
ejpam-6749	64	5	efforts	effort	NOUN
ejpam-6749	64	6	—	—	PUNCT
ejpam-6749	64	7	including	include	VERB
ejpam-6749	64	8	france	france	PROPN
ejpam-6749	64	9	’s	’s	PART
ejpam-6749	64	10	operation	operation	NOUN
ejpam-6749	64	11	barkhane	barkhane	NOUN
ejpam-6749	64	12	(	(	PUNCT
ejpam-6749	64	13	2014	2014	NUM
ejpam-6749	64	14	–	–	PUNCT
ejpam-6749	64	15	present	present	ADJ
ejpam-6749	64	16	)	)	PUNCT
ejpam-6749	64	17	and	and	CCONJ
ejpam-6749	64	18	preceding	precede	VERB
ejpam-6749	64	19	operation	operation	NOUN
ejpam-6749	64	20	serval	serval	NOUN
ejpam-6749	64	21	(	(	PUNCT
ejpam-6749	64	22	2013–2014	2013–2014	NUM
ejpam-6749	64	23	)	)	PUNCT
ejpam-6749	64	24	,	,	PUNCT
ejpam-6749	64	25	the	the	DET
ejpam-6749	64	26	un	un	PROPN
ejpam-6749	64	27	multidimensional	multidimensional	ADJ
ejpam-6749	64	28	integrated	integrate	VERB
ejpam-6749	64	29	stabilization	stabilization	NOUN
ejpam-6749	64	30	mission	mission	NOUN
ejpam-6749	64	31	in	in	ADP
ejpam-6749	64	32	mali	mali	PROPN
ejpam-6749	64	33	(	(	PUNCT
ejpam-6749	64	34	minusma	minusma	NOUN
ejpam-6749	64	35	)	)	PUNCT
ejpam-6749	64	36	,	,	PUNCT
ejpam-6749	64	37	and	and	CCONJ
ejpam-6749	64	38	recent	recent	ADJ
ejpam-6749	64	39	regime	regime	NOUN
ejpam-6749	64	40	transitions	transition	NOUN
ejpam-6749	64	41	in	in	ADP
ejpam-6749	64	42	mali	mali	PROPN
ejpam-6749	64	43	and	and	CCONJ
ejpam-6749	64	44	burkina	burkina	PROPN
ejpam-6749	64	45	faso	faso	PROPN
ejpam-6749	64	46	—	—	PUNCT
ejpam-6749	64	47	violent	violent	ADJ
ejpam-6749	64	48	instability	instability	NOUN
ejpam-6749	64	49	persists	persist	VERB
ejpam-6749	64	50	across	across	ADP
ejpam-6749	64	51	the	the	DET
ejpam-6749	64	52	sahel	sahel	PROPN
ejpam-6749	64	53	.	.	PUNCT
ejpam-6749	65	1	this	this	DET
ejpam-6749	65	2	endurance	endurance	NOUN
ejpam-6749	65	3	stems	stem	VERB
ejpam-6749	65	4	from	from	ADP
ejpam-6749	65	5	multifaceted	multifaceted	ADJ
ejpam-6749	65	6	drivers	driver	NOUN
ejpam-6749	65	7	:	:	PUNCT
ejpam-6749	65	8	(	(	PUNCT
ejpam-6749	65	9	1	1	X
ejpam-6749	65	10	)	)	PUNCT
ejpam-6749	65	11	entrenched	entrenched	ADJ
ejpam-6749	65	12	terrorist	terrorist	ADJ
ejpam-6749	65	13	networks	network	NOUN
ejpam-6749	65	14	,	,	PUNCT
ejpam-6749	65	15	(	(	PUNCT
ejpam-6749	65	16	2	2	X
ejpam-6749	65	17	)	)	PUNCT
ejpam-6749	65	18	systemic	systemic	ADJ
ejpam-6749	65	19	governance	governance	NOUN
ejpam-6749	65	20	deficiencies	deficiency	NOUN
ejpam-6749	65	21	including	include	VERB
ejpam-6749	65	22	institutional	institutional	ADJ
ejpam-6749	65	23	corruption	corruption	NOUN
ejpam-6749	65	24	,	,	PUNCT
ejpam-6749	65	25	and	and	CCONJ
ejpam-6749	65	26	(	(	PUNCT
ejpam-6749	65	27	3	3	X
ejpam-6749	65	28	)	)	PUNCT
ejpam-6749	65	29	chronic	chronic	ADJ
ejpam-6749	65	30	state	state	NOUN
ejpam-6749	65	31	incapacity	incapacity	NOUN
ejpam-6749	65	32	to	to	PART
ejpam-6749	65	33	ensure	ensure	VERB
ejpam-6749	65	34	territorial	territorial	ADJ
ejpam-6749	65	35	security	security	NOUN
ejpam-6749	65	36	.	.	PUNCT
ejpam-6749	66	1	crucially	crucially	ADV
ejpam-6749	66	2	,	,	PUNCT
ejpam-6749	66	3	predominantly	predominantly	ADV
ejpam-6749	66	4	military	military	ADJ
ejpam-6749	66	5	responses	response	NOUN
ejpam-6749	66	6	risk	risk	NOUN
ejpam-6749	66	7	exacerbating	exacerbate	VERB
ejpam-6749	66	8	communal	communal	ADJ
ejpam-6749	66	9	tensions	tension	NOUN
ejpam-6749	66	10	and	and	CCONJ
ejpam-6749	66	11	intensifying	intensify	VERB
ejpam-6749	66	12	violence	violence	NOUN
ejpam-6749	66	13	cycles	cycle	NOUN
ejpam-6749	66	14	.	.	PUNCT
ejpam-6749	67	1	this	this	DET
ejpam-6749	67	2	paper	paper	NOUN
ejpam-6749	67	3	addresses	address	VERB
ejpam-6749	67	4	this	this	DET
ejpam-6749	67	5	operational	operational	ADJ
ejpam-6749	67	6	challenge	challenge	NOUN
ejpam-6749	67	7	by	by	ADP
ejpam-6749	67	8	developing	develop	VERB
ejpam-6749	67	9	a	a	DET
ejpam-6749	67	10	quantitatively	quantitatively	ADV
ejpam-6749	67	11	grounded	ground	VERB
ejpam-6749	67	12	counterterrorism	counterterrorism	NOUN
ejpam-6749	67	13	framework	framework	NOUN
ejpam-6749	67	14	integrating	integrate	VERB
ejpam-6749	67	15	socio	socio	NOUN
ejpam-6749	67	16	-	-	PUNCT
ejpam-6749	67	17	political	political	ADJ
ejpam-6749	67	18	dimensions	dimension	NOUN
ejpam-6749	67	19	.	.	PUNCT
ejpam-6749	68	1	this	this	DET
ejpam-6749	68	2	research	research	NOUN
ejpam-6749	68	3	develops	develop	VERB
ejpam-6749	68	4	a	a	DET
ejpam-6749	68	5	mathematical	mathematical	ADJ
ejpam-6749	68	6	framework	framework	NOUN
ejpam-6749	68	7	to	to	PART
ejpam-6749	68	8	quantify	quantify	VERB
ejpam-6749	68	9	terrorism	terrorism	NOUN
ejpam-6749	68	10	mitigation	mitigation	NOUN
ejpam-6749	68	11	strategies	strategy	NOUN
ejpam-6749	68	12	through	through	ADP
ejpam-6749	68	13	nonlinear	nonlinear	ADJ
ejpam-6749	68	14	ordinary	ordinary	ADJ
ejpam-6749	68	15	differential	differential	ADJ
ejpam-6749	68	16	equations	equation	NOUN
ejpam-6749	68	17	modeling	model	VERB
ejpam-6749	68	18	population	population	NOUN
ejpam-6749	68	19	-	-	PUNCT
ejpam-6749	68	20	level	level	NOUN
ejpam-6749	68	21	dynamics	dynamic	NOUN
ejpam-6749	68	22	.	.	PUNCT
ejpam-6749	69	1	we	we	PRON
ejpam-6749	69	2	employ	employ	VERB
ejpam-6749	69	3	sobol	sobol	NOUN
ejpam-6749	69	4	’	'	PUNCT
ejpam-6749	69	5	sensitivity	sensitivity	NOUN
ejpam-6749	69	6	analysis	analysis	NOUN
ejpam-6749	69	7	to	to	PART
ejpam-6749	69	8	identify	identify	VERB
ejpam-6749	69	9	high	high	ADJ
ejpam-6749	69	10	-	-	PUNCT
ejpam-6749	69	11	leverage	leverage	NOUN
ejpam-6749	69	12	parameters	parameter	NOUN
ejpam-6749	69	13	governing	govern	VERB
ejpam-6749	69	14	system	system	NOUN
ejpam-6749	69	15	behavior	behavior	NOUN
ejpam-6749	69	16	,	,	PUNCT
ejpam-6749	69	17	enabling	enable	VERB
ejpam-6749	69	18	data	data	NOUN
ejpam-6749	69	19	-	-	PUNCT
ejpam-6749	69	20	driven	drive	VERB
ejpam-6749	69	21	interventions	intervention	NOUN
ejpam-6749	69	22	for	for	ADP
ejpam-6749	69	23	reducing	reduce	VERB
ejpam-6749	69	24	terrorist	terrorist	ADJ
ejpam-6749	69	25	violence	violence	NOUN
ejpam-6749	69	26	.	.	PUNCT
ejpam-6749	70	1	the	the	DET
ejpam-6749	70	2	paper	paper	NOUN
ejpam-6749	70	3	is	be	AUX
ejpam-6749	70	4	organized	organize	VERB
ejpam-6749	70	5	as	as	SCONJ
ejpam-6749	70	6	follows	follow	VERB
ejpam-6749	70	7	:	:	PUNCT
ejpam-6749	70	8	section	section	NOUN
ejpam-6749	70	9	2	2	NUM
ejpam-6749	70	10	formulates	formulate	VERB
ejpam-6749	70	11	the	the	DET
ejpam-6749	70	12	model	model	NOUN
ejpam-6749	70	13	;	;	PUNCT
ejpam-6749	70	14	section	section	NOUN
ejpam-6749	70	15	3	3	NUM
ejpam-6749	70	16	establishes	establish	VERB
ejpam-6749	70	17	fundamental	fundamental	ADJ
ejpam-6749	70	18	properties	property	NOUN
ejpam-6749	70	19	;	;	PUNCT
ejpam-6749	70	20	section	section	NOUN
ejpam-6749	70	21	4	4	NUM
ejpam-6749	70	22	identifies	identify	VERB
ejpam-6749	70	23	equilibrium	equilibrium	NOUN
ejpam-6749	70	24	points	point	NOUN
ejpam-6749	70	25	;	;	PUNCT
ejpam-6749	70	26	section	section	NOUN
ejpam-6749	70	27	5	5	NUM
ejpam-6749	70	28	analyzes	analyze	VERB
ejpam-6749	70	29	local	local	ADJ
ejpam-6749	70	30	and	and	CCONJ
ejpam-6749	70	31	global	global	ADJ
ejpam-6749	70	32	stability	stability	NOUN
ejpam-6749	70	33	of	of	ADP
ejpam-6749	70	34	equilibrium	equilibrium	NOUN
ejpam-6749	70	35	points	point	NOUN
ejpam-6749	70	36	;	;	PUNCT
ejpam-6749	70	37	section	section	NOUN
ejpam-6749	70	38	6	6	NUM
ejpam-6749	70	39	studies	study	NOUN
ejpam-6749	70	40	global	global	ADJ
ejpam-6749	70	41	stability	stability	NOUN
ejpam-6749	70	42	of	of	ADP
ejpam-6749	70	43	terrorismfree	terrorismfree	NOUN
ejpam-6749	70	44	and	and	CCONJ
ejpam-6749	70	45	endemic	endemic	ADJ
ejpam-6749	70	46	equilibrium	equilibrium	NOUN
ejpam-6749	70	47	;	;	PUNCT
ejpam-6749	70	48	section	section	NOUN
ejpam-6749	70	49	7	7	NUM
ejpam-6749	70	50	studies	study	NOUN
ejpam-6749	70	51	bifurcation	bifurcation	NOUN
ejpam-6749	70	52	phenomena	phenomenon	NOUN
ejpam-6749	70	53	;	;	PUNCT
ejpam-6749	70	54	section	section	NOUN
ejpam-6749	70	55	8	8	NUM
ejpam-6749	70	56	conducts	conduct	VERB
ejpam-6749	70	57	global	global	ADJ
ejpam-6749	70	58	sensitivity	sensitivity	NOUN
ejpam-6749	70	59	analysis	analysis	NOUN
ejpam-6749	70	60	via	via	ADP
ejpam-6749	70	61	sobol	sobol	NOUN
ejpam-6749	70	62	’	'	PUNCT
ejpam-6749	70	63	methodology	methodology	NOUN
ejpam-6749	70	64	;	;	PUNCT
ejpam-6749	70	65	section	section	NOUN
ejpam-6749	70	66	9	9	NUM
ejpam-6749	70	67	presents	present	VERB
ejpam-6749	70	68	numerical	numerical	ADJ
ejpam-6749	70	69	simulations	simulation	NOUN
ejpam-6749	70	70	,	,	PUNCT
ejpam-6749	70	71	validation	validation	NOUN
ejpam-6749	70	72	and	and	CCONJ
ejpam-6749	70	73	discusses	discuss	VERB
ejpam-6749	70	74	the	the	DET
ejpam-6749	70	75	results	result	NOUN
ejpam-6749	70	76	;	;	PUNCT
ejpam-6749	70	77	the	the	DET
ejpam-6749	70	78	last	last	ADJ
ejpam-6749	70	79	section	section	NOUN
ejpam-6749	70	80	10	10	NUM
ejpam-6749	70	81	synthesizes	synthesize	VERB
ejpam-6749	70	82	findings	finding	NOUN
ejpam-6749	70	83	and	and	CCONJ
ejpam-6749	70	84	research	research	NOUN
ejpam-6749	70	85	horizons	horizon	NOUN
ejpam-6749	70	86	.	.	PUNCT
ejpam-6749	71	1	2	2	X
ejpam-6749	71	2	.	.	X
ejpam-6749	71	3	formulation	formulation	NOUN
ejpam-6749	71	4	of	of	ADP
ejpam-6749	71	5	the	the	DET
ejpam-6749	71	6	terrorism	terrorism	NOUN
ejpam-6749	71	7	model	model	VERB
ejpam-6749	71	8	the	the	DET
ejpam-6749	71	9	compartmental	compartmental	ADJ
ejpam-6749	71	10	transition	transition	NOUN
ejpam-6749	71	11	architecture	architecture	NOUN
ejpam-6749	71	12	for	for	ADP
ejpam-6749	71	13	terrorism	terrorism	NOUN
ejpam-6749	71	14	dynamics	dynamic	NOUN
ejpam-6749	71	15	is	be	AUX
ejpam-6749	71	16	formalized	formalize	VERB
ejpam-6749	71	17	in	in	ADP
ejpam-6749	71	18	figure	figure	NOUN
ejpam-6749	71	19	2	2	NUM
ejpam-6749	71	20	.	.	PUNCT
ejpam-6749	72	1	the	the	DET
ejpam-6749	72	2	total	total	ADJ
ejpam-6749	72	3	population	population	NOUN
ejpam-6749	72	4	n(t	n(t	PROPN
ejpam-6749	72	5	)	)	PUNCT
ejpam-6749	72	6	at	at	ADP
ejpam-6749	72	7	time	time	NOUN
ejpam-6749	72	8	t	t	PROPN
ejpam-6749	72	9	is	be	AUX
ejpam-6749	72	10	partitioned	partition	VERB
ejpam-6749	72	11	into	into	ADP
ejpam-6749	72	12	three	three	NUM
ejpam-6749	72	13	mutually	mutually	ADV
ejpam-6749	72	14	exclusive	exclusive	ADJ
ejpam-6749	72	15	epidemiological	epidemiological	ADJ
ejpam-6749	72	16	compartments	compartment	NOUN
ejpam-6749	72	17	:	:	PUNCT
ejpam-6749	72	18	susceptible	susceptible	ADJ
ejpam-6749	72	19	individuals	individual	NOUN
ejpam-6749	72	20	s(t	s(t	PROPN
ejpam-6749	72	21	)	)	PUNCT
ejpam-6749	72	22	,	,	PUNCT
ejpam-6749	72	23	active	active	ADJ
ejpam-6749	72	24	terrorists	terrorist	NOUN
ejpam-6749	72	25	t	t	PROPN
ejpam-6749	72	26	(	(	PUNCT
ejpam-6749	72	27	t	t	PROPN
ejpam-6749	72	28	)	)	PUNCT
ejpam-6749	72	29	,	,	PUNCT
ejpam-6749	72	30	and	and	CCONJ
ejpam-6749	72	31	displaced	displace	VERB
ejpam-6749	72	32	persons	person	NOUN
ejpam-6749	72	33	q(t	q(t	PROPN
ejpam-6749	72	34	)	)	PUNCT
ejpam-6749	72	35	.	.	PUNCT
ejpam-6749	73	1	this	this	DET
ejpam-6749	73	2	structure	structure	NOUN
ejpam-6749	73	3	follows	follow	VERB
ejpam-6749	73	4	established	establish	VERB
ejpam-6749	73	5	compartmental	compartmental	ADJ
ejpam-6749	73	6	modeling	modeling	NOUN
ejpam-6749	73	7	frameworks	framework	NOUN
ejpam-6749	73	8	for	for	ADP
ejpam-6749	73	9	social	social	ADJ
ejpam-6749	73	10	contagion	contagion	NOUN
ejpam-6749	73	11	processes	process	NOUN
ejpam-6749	73	12	(	(	PUNCT
ejpam-6749	73	13	e.g.	e.g.	ADV
ejpam-6749	73	14	,	,	PUNCT
ejpam-6749	73	15	[	[	X
ejpam-6749	73	16	26	26	NUM
ejpam-6749	73	17	]	]	NUM
ejpam-6749	73	18	)	)	PUNCT
ejpam-6749	73	19	.	.	PUNCT
ejpam-6749	74	1	the	the	DET
ejpam-6749	74	2	susceptible	susceptible	ADJ
ejpam-6749	74	3	class	class	NOUN
ejpam-6749	74	4	s(t	s(t	PROPN
ejpam-6749	74	5	)	)	PUNCT
ejpam-6749	74	6	represents	represent	VERB
ejpam-6749	74	7	the	the	DET
ejpam-6749	74	8	m.	m.	NOUN
ejpam-6749	74	9	zorom	zorom	NOUN
ejpam-6749	74	10	et	et	NOUN
ejpam-6749	74	11	al	al	PROPN
ejpam-6749	74	12	.	.	PUNCT
ejpam-6749	74	13	/	/	SYM
ejpam-6749	74	14	eur	eur	PROPN
ejpam-6749	74	15	.	.	PUNCT
ejpam-6749	75	1	j.	j.	PROPN
ejpam-6749	75	2	pure	pure	PROPN
ejpam-6749	75	3	appl	appl	PROPN
ejpam-6749	75	4	.	.	PROPN
ejpam-6749	75	5	math	math	PROPN
ejpam-6749	75	6	,	,	PUNCT
ejpam-6749	75	7	18	18	NUM
ejpam-6749	75	8	(	(	PUNCT
ejpam-6749	75	9	4	4	NUM
ejpam-6749	75	10	)	)	PUNCT
ejpam-6749	75	11	(	(	PUNCT
ejpam-6749	75	12	2025	2025	NUM
ejpam-6749	75	13	)	)	PUNCT
ejpam-6749	75	14	,	,	PUNCT
ejpam-6749	75	15	6749	6749	NUM
ejpam-6749	75	16	5	5	NUM
ejpam-6749	75	17	of	of	ADP
ejpam-6749	75	18	47	47	NUM
ejpam-6749	75	19	1	1	NUM
ejpam-6749	75	20	s	s	NOUN
ejpam-6749	75	21	t	t	PROPN
ejpam-6749	75	22	q	q	PROPN
ejpam-6749	75	23	µ	µ	PROPN
ejpam-6749	75	24	µ	µ	X
ejpam-6749	75	25	µ	µ	X
ejpam-6749	75	26	δ	δ	PROPN
ejpam-6749	75	27	λ	λ	PROPN
ejpam-6749	75	28	𝜽(𝑻	𝜽(𝑻	PROPN
ejpam-6749	75	29	)	)	PUNCT
ejpam-6749	75	30	figure	figure	NOUN
ejpam-6749	75	31	2	2	NUM
ejpam-6749	75	32	:	:	PUNCT
ejpam-6749	75	33	schematic	schematic	ADJ
ejpam-6749	75	34	representation	representation	NOUN
ejpam-6749	75	35	of	of	ADP
ejpam-6749	75	36	terrorism	terrorism	NOUN
ejpam-6749	75	37	dynamics	dynamic	NOUN
ejpam-6749	75	38	non	non	ADJ
ejpam-6749	75	39	-	-	ADJ
ejpam-6749	75	40	core	core	ADJ
ejpam-6749	75	41	population	population	NOUN
ejpam-6749	75	42	vulnerable	vulnerable	ADJ
ejpam-6749	75	43	to	to	ADP
ejpam-6749	75	44	radicalization	radicalization	NOUN
ejpam-6749	75	45	,	,	PUNCT
ejpam-6749	75	46	serving	serve	VERB
ejpam-6749	75	47	as	as	ADP
ejpam-6749	75	48	the	the	DET
ejpam-6749	75	49	primary	primary	ADJ
ejpam-6749	75	50	recruitment	recruitment	NOUN
ejpam-6749	75	51	pool	pool	NOUN
ejpam-6749	75	52	for	for	ADP
ejpam-6749	75	53	extremist	extremist	ADJ
ejpam-6749	75	54	ideologies	ideology	NOUN
ejpam-6749	75	55	.	.	PUNCT
ejpam-6749	76	1	its	its	PRON
ejpam-6749	76	2	magnitude	magnitude	NOUN
ejpam-6749	76	3	typically	typically	ADV
ejpam-6749	76	4	dominates	dominate	VERB
ejpam-6749	76	5	initial	initial	ADJ
ejpam-6749	76	6	conditions	condition	NOUN
ejpam-6749	76	7	,	,	PUNCT
ejpam-6749	76	8	reflecting	reflect	VERB
ejpam-6749	76	9	empirical	empirical	ADJ
ejpam-6749	76	10	demographic	demographic	ADJ
ejpam-6749	76	11	distributions	distribution	NOUN
ejpam-6749	76	12	in	in	ADP
ejpam-6749	76	13	conflict	conflict	NOUN
ejpam-6749	76	14	zones	zone	NOUN
ejpam-6749	76	15	.	.	PUNCT
ejpam-6749	77	1	susceptible	susceptible	ADJ
ejpam-6749	77	2	individuals	individual	NOUN
ejpam-6749	77	3	s(t	s(t	PROPN
ejpam-6749	77	4	)	)	PUNCT
ejpam-6749	77	5	constitute	constitute	VERB
ejpam-6749	77	6	the	the	DET
ejpam-6749	77	7	non	non	ADJ
ejpam-6749	77	8	-	-	ADJ
ejpam-6749	77	9	radicalized	radicalized	ADJ
ejpam-6749	77	10	population	population	NOUN
ejpam-6749	77	11	at	at	ADP
ejpam-6749	77	12	risk	risk	NOUN
ejpam-6749	77	13	of	of	ADP
ejpam-6749	77	14	ideological	ideological	ADJ
ejpam-6749	77	15	adoption	adoption	NOUN
ejpam-6749	77	16	.	.	PUNCT
ejpam-6749	78	1	radicalization	radicalization	NOUN
ejpam-6749	78	2	occurs	occur	VERB
ejpam-6749	78	3	through	through	ADP
ejpam-6749	78	4	contacts	contact	NOUN
ejpam-6749	78	5	with	with	ADP
ejpam-6749	78	6	terrorists	terrorist	NOUN
ejpam-6749	78	7	at	at	ADP
ejpam-6749	78	8	rate	rate	NOUN
ejpam-6749	78	9	βst	βst	PROPN
ejpam-6749	78	10	,	,	PUNCT
ejpam-6749	78	11	where	where	SCONJ
ejpam-6749	78	12	β	β	PROPN
ejpam-6749	78	13	denotes	denote	VERB
ejpam-6749	78	14	the	the	DET
ejpam-6749	78	15	intrinsic	intrinsic	ADJ
ejpam-6749	78	16	transmission	transmission	NOUN
ejpam-6749	78	17	coefficient	coefficient	NOUN
ejpam-6749	78	18	and	and	CCONJ
ejpam-6749	78	19	φt	φt	NOUN
ejpam-6749	78	20	,	,	PUNCT
ejpam-6749	78	21	with	with	ADP
ejpam-6749	78	22	φ	φ	PROPN
ejpam-6749	78	23	quantifies	quantifies	PROPN
ejpam-6749	78	24	intervention	intervention	PROPN
ejpam-6749	78	25	efficacy	efficacy	NOUN
ejpam-6749	78	26	through	through	ADP
ejpam-6749	78	27	awareness	awareness	NOUN
ejpam-6749	78	28	programs	program	NOUN
ejpam-6749	78	29	.	.	PUNCT
ejpam-6749	79	1	those	those	PRON
ejpam-6749	79	2	adopting	adopt	VERB
ejpam-6749	79	3	extremist	extremist	ADJ
ejpam-6749	79	4	ideology	ideology	NOUN
ejpam-6749	79	5	transition	transition	NOUN
ejpam-6749	79	6	to	to	ADP
ejpam-6749	79	7	the	the	DET
ejpam-6749	79	8	terrorist	terrorist	ADJ
ejpam-6749	79	9	compartment	compartment	NOUN
ejpam-6749	79	10	t	t	PROPN
ejpam-6749	79	11	(	(	PUNCT
ejpam-6749	79	12	t	t	PROPN
ejpam-6749	79	13	)	)	PUNCT
ejpam-6749	79	14	.	.	PUNCT
ejpam-6749	80	1	this	this	DET
ejpam-6749	80	2	compartment	compartment	NOUN
ejpam-6749	80	3	comprises	comprise	VERB
ejpam-6749	80	4	individuals	individual	NOUN
ejpam-6749	80	5	who	who	PRON
ejpam-6749	80	6	fully	fully	ADV
ejpam-6749	80	7	internalize	internalize	VERB
ejpam-6749	80	8	violent	violent	ADJ
ejpam-6749	80	9	extremism	extremism	NOUN
ejpam-6749	80	10	and	and	CCONJ
ejpam-6749	80	11	execute	execute	VERB
ejpam-6749	80	12	attacks	attack	NOUN
ejpam-6749	80	13	.	.	PUNCT
ejpam-6749	81	1	concurrently	concurrently	ADV
ejpam-6749	81	2	,	,	PUNCT
ejpam-6749	81	3	security	security	NOUN
ejpam-6749	81	4	forces	force	NOUN
ejpam-6749	81	5	eliminate	eliminate	VERB
ejpam-6749	81	6	terrorists	terrorist	NOUN
ejpam-6749	81	7	at	at	ADP
ejpam-6749	81	8	rate	rate	NOUN
ejpam-6749	81	9	δ	δ	PROPN
ejpam-6749	81	10	,	,	PUNCT
ejpam-6749	81	11	while	while	SCONJ
ejpam-6749	81	12	natural	natural	ADJ
ejpam-6749	81	13	mortality	mortality	NOUN
ejpam-6749	81	14	µ	µ	NOUN
ejpam-6749	81	15	affects	affect	VERB
ejpam-6749	81	16	all	all	DET
ejpam-6749	81	17	compartments	compartment	NOUN
ejpam-6749	81	18	uniformly	uniformly	ADV
ejpam-6749	81	19	.	.	PUNCT
ejpam-6749	82	1	forced	force	VERB
ejpam-6749	82	2	displacement	displacement	NOUN
ejpam-6749	82	3	occurs	occur	VERB
ejpam-6749	82	4	as	as	SCONJ
ejpam-6749	82	5	susceptible	susceptible	ADJ
ejpam-6749	82	6	individuals	individual	NOUN
ejpam-6749	82	7	flee	flee	VERB
ejpam-6749	82	8	violence	violence	NOUN
ejpam-6749	82	9	at	at	ADP
ejpam-6749	82	10	rate	rate	NOUN
ejpam-6749	82	11	γ	γ	PROPN
ejpam-6749	82	12	,	,	PUNCT
ejpam-6749	82	13	entering	enter	VERB
ejpam-6749	82	14	the	the	DET
ejpam-6749	82	15	quitter	quitter	NOUN
ejpam-6749	82	16	compartment	compartment	NOUN
ejpam-6749	82	17	q(t	q(t	PROPN
ejpam-6749	82	18	)	)	PUNCT
ejpam-6749	82	19	formally	formally	ADV
ejpam-6749	82	20	defined	define	VERB
ejpam-6749	82	21	as	as	ADP
ejpam-6749	82	22	internally	internally	ADV
ejpam-6749	82	23	displaced	displace	VERB
ejpam-6749	82	24	persons	person	NOUN
ejpam-6749	82	25	(	(	PUNCT
ejpam-6749	82	26	idps	idps	NOUN
ejpam-6749	82	27	)	)	PUNCT
ejpam-6749	82	28	.	.	PUNCT
ejpam-6749	83	1	terrorist	terrorist	ADJ
ejpam-6749	83	2	-	-	PUNCT
ejpam-6749	83	3	induced	induce	VERB
ejpam-6749	83	4	mortality	mortality	NOUN
ejpam-6749	83	5	in	in	ADP
ejpam-6749	83	6	s(t	s(t	PROPN
ejpam-6749	83	7	)	)	PUNCT
ejpam-6749	83	8	follows	follow	VERB
ejpam-6749	83	9	density	density	NOUN
ejpam-6749	83	10	-	-	PUNCT
ejpam-6749	83	11	dependent	dependent	ADJ
ejpam-6749	83	12	kinetics	kinetic	NOUN
ejpam-6749	83	13	θ(t	θ(t	PROPN
ejpam-6749	83	14	)	)	PUNCT
ejpam-6749	84	1	=	=	SYM
ejpam-6749	84	2	kt	kt	PROPN
ejpam-6749	84	3	,	,	PUNCT
ejpam-6749	84	4	where	where	SCONJ
ejpam-6749	84	5	k	k	PROPN
ejpam-6749	84	6	is	be	AUX
ejpam-6749	84	7	the	the	DET
ejpam-6749	84	8	lethality	lethality	NOUN
ejpam-6749	84	9	coefficient	coefficient	NOUN
ejpam-6749	84	10	.	.	PUNCT
ejpam-6749	85	1	this	this	DET
ejpam-6749	85	2	linear	linear	ADJ
ejpam-6749	85	3	functional	functional	ADJ
ejpam-6749	85	4	form	form	NOUN
ejpam-6749	85	5	captures	capture	VERB
ejpam-6749	85	6	escalating	escalate	VERB
ejpam-6749	85	7	violence	violence	NOUN
ejpam-6749	85	8	against	against	ADP
ejpam-6749	85	9	civilians	civilian	NOUN
ejpam-6749	85	10	as	as	ADP
ejpam-6749	85	11	terrorist	terrorist	ADJ
ejpam-6749	85	12	density	density	NOUN
ejpam-6749	85	13	increases	increase	NOUN
ejpam-6749	85	14	.	.	PUNCT
ejpam-6749	86	1	the	the	DET
ejpam-6749	86	2	idp	idp	PROPN
ejpam-6749	86	3	compartment	compartment	NOUN
ejpam-6749	86	4	experiences	experience	VERB
ejpam-6749	86	5	no	no	DET
ejpam-6749	86	6	back	back	NOUN
ejpam-6749	86	7	-	-	PUNCT
ejpam-6749	86	8	migration	migration	NOUN
ejpam-6749	86	9	,	,	PUNCT
ejpam-6749	86	10	with	with	ADP
ejpam-6749	86	11	population	population	NOUN
ejpam-6749	86	12	loss	loss	NOUN
ejpam-6749	86	13	occurring	occur	VERB
ejpam-6749	86	14	solely	solely	ADV
ejpam-6749	86	15	through	through	ADP
ejpam-6749	86	16	natural	natural	ADJ
ejpam-6749	86	17	mortality	mortality	NOUN
ejpam-6749	86	18	at	at	ADP
ejpam-6749	86	19	rate	rate	NOUN
ejpam-6749	86	20	µ.	µ.	PROPN
ejpam-6749	86	21	population	population	NOUN
ejpam-6749	86	22	influx	influx	VERB
ejpam-6749	86	23	occurs	occur	VERB
ejpam-6749	86	24	exclusively	exclusively	ADV
ejpam-6749	86	25	into	into	ADP
ejpam-6749	86	26	the	the	DET
ejpam-6749	86	27	susceptible	susceptible	ADJ
ejpam-6749	86	28	compartment	compartment	NOUN
ejpam-6749	86	29	through	through	ADP
ejpam-6749	86	30	birth	birth	NOUN
ejpam-6749	86	31	and	and	CCONJ
ejpam-6749	86	32	migration	migration	NOUN
ejpam-6749	86	33	,	,	PUNCT
ejpam-6749	86	34	modeled	model	VERB
ejpam-6749	86	35	as	as	ADP
ejpam-6749	86	36	constant	constant	ADJ
ejpam-6749	86	37	recruitment	recruitment	NOUN
ejpam-6749	86	38	rate	rate	NOUN
ejpam-6749	86	39	λ	λ	PROPN
ejpam-6749	86	40	.	.	PUNCT
ejpam-6749	87	1	this	this	DET
ejpam-6749	87	2	parameterization	parameterization	NOUN
ejpam-6749	87	3	assumes	assume	VERB
ejpam-6749	87	4	constant	constant	ADJ
ejpam-6749	87	5	demographic	demographic	ADJ
ejpam-6749	87	6	pressure	pressure	NOUN
ejpam-6749	87	7	independent	independent	NOUN
ejpam-6749	87	8	of	of	ADP
ejpam-6749	87	9	conflict	conflict	NOUN
ejpam-6749	87	10	dynamics	dynamic	NOUN
ejpam-6749	87	11	.	.	PUNCT
ejpam-6749	88	1	the	the	DET
ejpam-6749	88	2	absence	absence	NOUN
ejpam-6749	88	3	of	of	ADP
ejpam-6749	88	4	diseaseinduced	diseaseinduce	VERB
ejpam-6749	88	5	mortality	mortality	NOUN
ejpam-6749	88	6	in	in	ADP
ejpam-6749	88	7	q(t	q(t	PROPN
ejpam-6749	88	8	)	)	PUNCT
ejpam-6749	88	9	reflects	reflect	VERB
ejpam-6749	88	10	humanitarian	humanitarian	ADJ
ejpam-6749	88	11	observations	observation	NOUN
ejpam-6749	88	12	that	that	PRON
ejpam-6749	88	13	displacement	displacement	NOUN
ejpam-6749	88	14	primarily	primarily	ADV
ejpam-6749	88	15	causes	cause	VERB
ejpam-6749	88	16	relocation	relocation	NOUN
ejpam-6749	88	17	rather	rather	ADV
ejpam-6749	88	18	than	than	ADP
ejpam-6749	88	19	direct	direct	ADJ
ejpam-6749	88	20	physical	physical	ADJ
ejpam-6749	88	21	destruction	destruction	NOUN
ejpam-6749	88	22	.	.	PUNCT
ejpam-6749	89	1	the	the	DET
ejpam-6749	89	2	system	system	NOUN
ejpam-6749	89	3	conserves	conserve	VERB
ejpam-6749	89	4	mass	mass	ADJ
ejpam-6749	89	5	balance	balance	NOUN
ejpam-6749	89	6	via	via	ADP
ejpam-6749	89	7	n(t	n(t	PROPN
ejpam-6749	89	8	)	)	PUNCT
ejpam-6749	90	1	=	=	SYM
ejpam-6749	90	2	s(t)+t	s(t)+t	NOUN
ejpam-6749	90	3	(	(	PUNCT
ejpam-6749	90	4	t)+q(t	t)+q(t	NOUN
ejpam-6749	90	5	)	)	PUNCT
ejpam-6749	90	6	,	,	PUNCT
ejpam-6749	90	7	with	with	ADP
ejpam-6749	90	8	total	total	ADJ
ejpam-6749	90	9	population	population	NOUN
ejpam-6749	90	10	dynamics	dynamic	NOUN
ejpam-6749	90	11	governed	govern	VERB
ejpam-6749	90	12	by	by	ADP
ejpam-6749	90	13	natural	natural	ADJ
ejpam-6749	90	14	mortality	mortality	NOUN
ejpam-6749	90	15	and	and	CCONJ
ejpam-6749	90	16	violence	violence	NOUN
ejpam-6749	90	17	-	-	PUNCT
ejpam-6749	90	18	driven	drive	VERB
ejpam-6749	90	19	attrition	attrition	NOUN
ejpam-6749	90	20	.	.	PUNCT
ejpam-6749	91	1	the	the	DET
ejpam-6749	91	2	terrorism	terrorism	NOUN
ejpam-6749	91	3	dynamics	dynamic	NOUN
ejpam-6749	91	4	model	model	NOUN
ejpam-6749	91	5	represents	represent	VERB
ejpam-6749	91	6	a	a	DET
ejpam-6749	91	7	compartmental	compartmental	ADJ
ejpam-6749	91	8	approach	approach	NOUN
ejpam-6749	91	9	to	to	ADP
ejpam-6749	91	10	understanding	understand	VERB
ejpam-6749	91	11	the	the	DET
ejpam-6749	91	12	spread	spread	NOUN
ejpam-6749	91	13	and	and	CCONJ
ejpam-6749	91	14	control	control	NOUN
ejpam-6749	91	15	of	of	ADP
ejpam-6749	91	16	terrorist	terrorist	ADJ
ejpam-6749	91	17	activities	activity	NOUN
ejpam-6749	91	18	within	within	ADP
ejpam-6749	91	19	a	a	DET
ejpam-6749	91	20	population	population	NOUN
ejpam-6749	91	21	.	.	PUNCT
ejpam-6749	92	1	the	the	DET
ejpam-6749	92	2	model	model	NOUN
ejpam-6749	92	3	structure	structure	NOUN
ejpam-6749	92	4	captures	capture	VERB
ejpam-6749	92	5	the	the	DET
ejpam-6749	92	6	essential	essential	ADJ
ejpam-6749	92	7	processes	process	NOUN
ejpam-6749	92	8	that	that	PRON
ejpam-6749	92	9	govern	govern	VERB
ejpam-6749	92	10	the	the	DET
ejpam-6749	92	11	flow	flow	NOUN
ejpam-6749	92	12	of	of	ADP
ejpam-6749	92	13	individuals	individual	NOUN
ejpam-6749	92	14	between	between	ADP
ejpam-6749	92	15	different	different	ADJ
ejpam-6749	92	16	states	state	NOUN
ejpam-6749	92	17	of	of	ADP
ejpam-6749	92	18	involvement	involvement	NOUN
ejpam-6749	92	19	with	with	ADP
ejpam-6749	92	20	terrorism	terrorism	NOUN
ejpam-6749	92	21	.	.	PUNCT
ejpam-6749	93	1	the	the	DET
ejpam-6749	93	2	susceptible	susceptible	ADJ
ejpam-6749	93	3	compartment	compartment	NOUN
ejpam-6749	93	4	s(t	s(t	PROPN
ejpam-6749	93	5	)	)	PUNCT
ejpam-6749	93	6	represents	represent	VERB
ejpam-6749	93	7	individuals	individual	NOUN
ejpam-6749	93	8	who	who	PRON
ejpam-6749	93	9	are	be	AUX
ejpam-6749	93	10	vulnerable	vulnerable	ADJ
ejpam-6749	93	11	to	to	ADP
ejpam-6749	93	12	radicalization	radicalization	NOUN
ejpam-6749	93	13	but	but	CCONJ
ejpam-6749	93	14	are	be	AUX
ejpam-6749	93	15	not	not	PART
ejpam-6749	93	16	currently	currently	ADV
ejpam-6749	93	17	engaged	engage	VERB
ejpam-6749	93	18	in	in	ADP
ejpam-6749	93	19	terrorist	terrorist	ADJ
ejpam-6749	93	20	activities	activity	NOUN
ejpam-6749	93	21	.	.	PUNCT
ejpam-6749	94	1	m.	m.	NOUN
ejpam-6749	94	2	zorom	zorom	NOUN
ejpam-6749	94	3	et	et	PROPN
ejpam-6749	94	4	al	al	PROPN
ejpam-6749	94	5	.	.	PUNCT
ejpam-6749	94	6	/	/	SYM
ejpam-6749	94	7	eur	eur	PROPN
ejpam-6749	94	8	.	.	PUNCT
ejpam-6749	95	1	j.	j.	PROPN
ejpam-6749	95	2	pure	pure	PROPN
ejpam-6749	95	3	appl	appl	PROPN
ejpam-6749	95	4	.	.	PROPN
ejpam-6749	95	5	math	math	PROPN
ejpam-6749	95	6	,	,	PUNCT
ejpam-6749	95	7	18	18	NUM
ejpam-6749	95	8	(	(	PUNCT
ejpam-6749	95	9	4	4	NUM
ejpam-6749	95	10	)	)	PUNCT
ejpam-6749	95	11	(	(	PUNCT
ejpam-6749	95	12	2025	2025	NUM
ejpam-6749	95	13	)	)	PUNCT
ejpam-6749	95	14	,	,	PUNCT
ejpam-6749	95	15	6749	6749	NUM
ejpam-6749	95	16	6	6	NUM
ejpam-6749	95	17	of	of	ADP
ejpam-6749	95	18	47	47	NUM
ejpam-6749	95	19	this	this	PRON
ejpam-6749	95	20	includes	include	VERB
ejpam-6749	95	21	the	the	DET
ejpam-6749	95	22	general	general	ADJ
ejpam-6749	95	23	population	population	NOUN
ejpam-6749	95	24	that	that	PRON
ejpam-6749	95	25	may	may	AUX
ejpam-6749	95	26	be	be	AUX
ejpam-6749	95	27	exposed	expose	VERB
ejpam-6749	95	28	to	to	ADP
ejpam-6749	95	29	terrorist	terrorist	ADJ
ejpam-6749	95	30	ideology	ideology	NOUN
ejpam-6749	95	31	through	through	ADP
ejpam-6749	95	32	various	various	ADJ
ejpam-6749	95	33	channels	channel	NOUN
ejpam-6749	95	34	such	such	ADJ
ejpam-6749	95	35	as	as	ADP
ejpam-6749	95	36	social	social	ADJ
ejpam-6749	95	37	networks	network	NOUN
ejpam-6749	95	38	,	,	PUNCT
ejpam-6749	95	39	media	medium	NOUN
ejpam-6749	95	40	,	,	PUNCT
ejpam-6749	95	41	or	or	CCONJ
ejpam-6749	95	42	direct	direct	ADJ
ejpam-6749	95	43	contact	contact	NOUN
ejpam-6749	95	44	with	with	ADP
ejpam-6749	95	45	active	active	ADJ
ejpam-6749	95	46	terrorists	terrorist	NOUN
ejpam-6749	95	47	.	.	PUNCT
ejpam-6749	96	1	the	the	DET
ejpam-6749	96	2	terrorist	terrorist	ADJ
ejpam-6749	96	3	compartment	compartment	NOUN
ejpam-6749	96	4	t	t	PROPN
ejpam-6749	96	5	(	(	PUNCT
ejpam-6749	96	6	t	t	PROPN
ejpam-6749	96	7	)	)	PUNCT
ejpam-6749	96	8	represents	represent	VERB
ejpam-6749	96	9	individuals	individual	NOUN
ejpam-6749	96	10	who	who	PRON
ejpam-6749	96	11	are	be	AUX
ejpam-6749	96	12	actively	actively	ADV
ejpam-6749	96	13	engaged	engage	VERB
ejpam-6749	96	14	in	in	ADP
ejpam-6749	96	15	terrorist	terrorist	ADJ
ejpam-6749	96	16	activities	activity	NOUN
ejpam-6749	96	17	.	.	PUNCT
ejpam-6749	97	1	this	this	PRON
ejpam-6749	97	2	includes	include	VERB
ejpam-6749	97	3	not	not	PART
ejpam-6749	97	4	only	only	ADV
ejpam-6749	97	5	those	those	PRON
ejpam-6749	97	6	who	who	PRON
ejpam-6749	97	7	carry	carry	VERB
ejpam-6749	97	8	out	out	ADP
ejpam-6749	97	9	attacks	attack	NOUN
ejpam-6749	97	10	but	but	CCONJ
ejpam-6749	97	11	also	also	ADV
ejpam-6749	97	12	those	those	PRON
ejpam-6749	97	13	involved	involve	VERB
ejpam-6749	97	14	in	in	ADP
ejpam-6749	97	15	planning	planning	NOUN
ejpam-6749	97	16	,	,	PUNCT
ejpam-6749	97	17	financing	financing	NOUN
ejpam-6749	97	18	,	,	PUNCT
ejpam-6749	97	19	recruitment	recruitment	NOUN
ejpam-6749	97	20	,	,	PUNCT
ejpam-6749	97	21	and	and	CCONJ
ejpam-6749	97	22	other	other	ADJ
ejpam-6749	97	23	support	support	NOUN
ejpam-6749	97	24	activities	activity	NOUN
ejpam-6749	97	25	.	.	PUNCT
ejpam-6749	98	1	the	the	DET
ejpam-6749	98	2	model	model	NOUN
ejpam-6749	98	3	assumes	assume	VERB
ejpam-6749	98	4	that	that	SCONJ
ejpam-6749	98	5	these	these	DET
ejpam-6749	98	6	individuals	individual	NOUN
ejpam-6749	98	7	can	can	AUX
ejpam-6749	98	8	influence	influence	VERB
ejpam-6749	98	9	susceptible	susceptible	ADJ
ejpam-6749	98	10	individuals	individual	NOUN
ejpam-6749	98	11	through	through	ADP
ejpam-6749	98	12	a	a	DET
ejpam-6749	98	13	transmission	transmission	NOUN
ejpam-6749	98	14	process	process	NOUN
ejpam-6749	98	15	characterized	characterize	VERB
ejpam-6749	98	16	by	by	ADP
ejpam-6749	98	17	the	the	DET
ejpam-6749	98	18	rate	rate	NOUN
ejpam-6749	98	19	β	β	NOUN
ejpam-6749	98	20	,	,	PUNCT
ejpam-6749	98	21	reflecting	reflect	VERB
ejpam-6749	98	22	the	the	DET
ejpam-6749	98	23	social	social	ADJ
ejpam-6749	98	24	contagion	contagion	NOUN
ejpam-6749	98	25	nature	nature	NOUN
ejpam-6749	98	26	of	of	ADP
ejpam-6749	98	27	radicalization	radicalization	NOUN
ejpam-6749	98	28	.	.	PUNCT
ejpam-6749	99	1	the	the	DET
ejpam-6749	99	2	displaced	displace	VERB
ejpam-6749	99	3	compartment	compartment	NOUN
ejpam-6749	99	4	q(t	q(t	NOUN
ejpam-6749	99	5	)	)	PUNCT
ejpam-6749	99	6	represents	represent	VERB
ejpam-6749	99	7	individuals	individual	NOUN
ejpam-6749	99	8	who	who	PRON
ejpam-6749	99	9	have	have	AUX
ejpam-6749	99	10	been	be	AUX
ejpam-6749	99	11	removed	remove	VERB
ejpam-6749	99	12	from	from	ADP
ejpam-6749	99	13	the	the	DET
ejpam-6749	99	14	active	active	ADJ
ejpam-6749	99	15	conflict	conflict	NOUN
ejpam-6749	99	16	zone	zone	NOUN
ejpam-6749	99	17	through	through	ADP
ejpam-6749	99	18	displacement	displacement	NOUN
ejpam-6749	99	19	,	,	PUNCT
ejpam-6749	99	20	migration	migration	NOUN
ejpam-6749	99	21	,	,	PUNCT
ejpam-6749	99	22	or	or	CCONJ
ejpam-6749	99	23	other	other	ADJ
ejpam-6749	99	24	forms	form	NOUN
ejpam-6749	99	25	of	of	ADP
ejpam-6749	99	26	population	population	NOUN
ejpam-6749	99	27	movement	movement	NOUN
ejpam-6749	99	28	.	.	PUNCT
ejpam-6749	100	1	this	this	DET
ejpam-6749	100	2	compartment	compartment	NOUN
ejpam-6749	100	3	captures	capture	VERB
ejpam-6749	100	4	the	the	DET
ejpam-6749	100	5	reality	reality	NOUN
ejpam-6749	100	6	that	that	SCONJ
ejpam-6749	100	7	in	in	ADP
ejpam-6749	100	8	many	many	ADJ
ejpam-6749	100	9	conflict	conflict	NOUN
ejpam-6749	100	10	situations	situation	NOUN
ejpam-6749	100	11	,	,	PUNCT
ejpam-6749	100	12	significant	significant	ADJ
ejpam-6749	100	13	portions	portion	NOUN
ejpam-6749	100	14	of	of	ADP
ejpam-6749	100	15	the	the	DET
ejpam-6749	100	16	population	population	NOUN
ejpam-6749	100	17	become	become	VERB
ejpam-6749	100	18	displaced	displaced	ADJ
ejpam-6749	100	19	,	,	PUNCT
ejpam-6749	100	20	either	either	CCONJ
ejpam-6749	100	21	voluntarily	voluntarily	ADV
ejpam-6749	100	22	or	or	CCONJ
ejpam-6749	100	23	involuntarily	involuntarily	ADV
ejpam-6749	100	24	,	,	PUNCT
ejpam-6749	100	25	which	which	PRON
ejpam-6749	100	26	affects	affect	VERB
ejpam-6749	100	27	their	their	PRON
ejpam-6749	100	28	exposure	exposure	NOUN
ejpam-6749	100	29	to	to	ADP
ejpam-6749	100	30	radicalization	radicalization	NOUN
ejpam-6749	100	31	processes	process	NOUN
ejpam-6749	100	32	.	.	PUNCT
ejpam-6749	101	1	table	table	NOUN
ejpam-6749	101	2	1	1	NUM
ejpam-6749	101	3	:	:	PUNCT
ejpam-6749	101	4	baseline	baseline	NOUN
ejpam-6749	101	5	parameter	parameter	NOUN
ejpam-6749	101	6	values	value	NOUN
ejpam-6749	101	7	for	for	ADP
ejpam-6749	101	8	the	the	DET
ejpam-6749	101	9	terrorism	terrorism	NOUN
ejpam-6749	101	10	dynamics	dynamic	NOUN
ejpam-6749	101	11	model	model	NOUN
ejpam-6749	101	12	(	(	PUNCT
ejpam-6749	101	13	equation	equation	NOUN
ejpam-6749	101	14	1	1	NUM
ejpam-6749	101	15	)	)	PUNCT
ejpam-6749	101	16	parameter	parameter	NOUN
ejpam-6749	101	17	description	description	NOUN
ejpam-6749	101	18	dimension	dimension	NOUN
ejpam-6749	101	19	value	value	NOUN
ejpam-6749	101	20	λ	λ	PROPN
ejpam-6749	101	21	recruitment	recruitment	NOUN
ejpam-6749	101	22	rate	rate	NOUN
ejpam-6749	101	23	individuals·km−2·year−1	individuals·km−2·year−1	PROPN
ejpam-6749	101	24	12	12	NUM
ejpam-6749	101	25	β	β	NOUN
ejpam-6749	101	26	terrorism	terrorism	NOUN
ejpam-6749	101	27	exposure	exposure	NOUN
ejpam-6749	101	28	rate	rate	NOUN
ejpam-6749	102	1	individuals−1·km2·year−1	individuals−1·km2·year−1	PROPN
ejpam-6749	102	2	0.000125	0.000125	NUM
ejpam-6749	102	3	γ	γ	PRON
ejpam-6749	102	4	displacement	displacement	ADJ
ejpam-6749	102	5	rate	rate	NOUN
ejpam-6749	102	6	(	(	PUNCT
ejpam-6749	102	7	s	s	NOUN
ejpam-6749	102	8	→	→	SYM
ejpam-6749	102	9	q	q	ADJ
ejpam-6749	102	10	)	)	PUNCT
ejpam-6749	102	11	year−1	year−1	ADV
ejpam-6749	102	12	0.05	0.05	NUM
ejpam-6749	102	13	φ	φ	PROPN
ejpam-6749	102	14	deradicalization	deradicalization	NOUN
ejpam-6749	102	15	rate	rate	NOUN
ejpam-6749	102	16	(	(	PUNCT
ejpam-6749	102	17	t	t	PROPN
ejpam-6749	102	18	→	→	SYM
ejpam-6749	102	19	s	s	PART
ejpam-6749	102	20	)	)	PUNCT
ejpam-6749	102	21	year−1	year−1	NOUN
ejpam-6749	102	22	0.001	0.001	NUM
ejpam-6749	102	23	k	k	NOUN
ejpam-6749	102	24	terrorist	terrorist	NOUN
ejpam-6749	102	25	-	-	PUNCT
ejpam-6749	102	26	induced	induce	VERB
ejpam-6749	102	27	mortality	mortality	NOUN
ejpam-6749	102	28	coefficient	coefficient	NOUN
ejpam-6749	102	29	individuals−1·km2·year−1	individuals−1·km2·year−1	PROPN
ejpam-6749	102	30	0.0004	0.0004	NUM
ejpam-6749	102	31	µ	µ	PRON
ejpam-6749	102	32	natural	natural	ADJ
ejpam-6749	102	33	mortality	mortality	NOUN
ejpam-6749	102	34	rate	rate	NOUN
ejpam-6749	102	35	year−1	year−1	PROPN
ejpam-6749	102	36	0.0012	0.0012	NUM
ejpam-6749	102	37	δ	δ	PROPN
ejpam-6749	102	38	terrorist	terrorist	ADJ
ejpam-6749	102	39	elimination	elimination	NOUN
ejpam-6749	102	40	rate	rate	NOUN
ejpam-6749	102	41	by	by	ADP
ejpam-6749	102	42	military	military	ADJ
ejpam-6749	102	43	year−1	year−1	NOUN
ejpam-6749	102	44	0.50	0.50	NUM
ejpam-6749	102	45	consider	consider	VERB
ejpam-6749	102	46	the	the	DET
ejpam-6749	102	47	terrorism	terrorism	NOUN
ejpam-6749	102	48	dynamics	dynamic	NOUN
ejpam-6749	102	49	model	model	NOUN
ejpam-6749	102	50	described	describe	VERB
ejpam-6749	102	51	by	by	ADP
ejpam-6749	102	52	the	the	DET
ejpam-6749	102	53	following	follow	VERB
ejpam-6749	102	54	system	system	NOUN
ejpam-6749	102	55	of	of	ADP
ejpam-6749	102	56	ordinary	ordinary	ADJ
ejpam-6749	102	57	differential	differential	ADJ
ejpam-6749	102	58	equations	equation	NOUN
ejpam-6749	102	59	:	:	PUNCT
ejpam-6749	102	60			VERB
ejpam-6749	102	61			PUNCT
ejpam-6749	102	62			PROPN
ejpam-6749	102	63	ds	ds	ADJ
ejpam-6749	102	64	dt	dt	NOUN
ejpam-6749	102	65	=	=	SYM
ejpam-6749	102	66	λ−	λ−	PROPN
ejpam-6749	102	67	(	(	PUNCT
ejpam-6749	102	68	µ+	µ+	X
ejpam-6749	102	69	γ)s	γ)s	PUNCT
ejpam-6749	102	70	−	−	PROPN
ejpam-6749	102	71	βst	βst	NOUN
ejpam-6749	103	1	−	−	PROPN
ejpam-6749	103	2	θ(t	θ(t	NOUN
ejpam-6749	103	3	)	)	PUNCT
ejpam-6749	103	4	s	s	PART
ejpam-6749	104	1	+	+	NOUN
ejpam-6749	104	2	φt	φt	NOUN
ejpam-6749	104	3	dt	dt	NOUN
ejpam-6749	104	4	dt	dt	PROPN
ejpam-6749	105	1	=	=	PUNCT
ejpam-6749	105	2	βst	βst	PROPN
ejpam-6749	106	1	−	−	PROPN
ejpam-6749	106	2	φt	φt	NOUN
ejpam-6749	106	3	−	−	PROPN
ejpam-6749	106	4	(	(	PUNCT
ejpam-6749	106	5	δ	δ	NOUN
ejpam-6749	106	6	+	+	NOUN
ejpam-6749	106	7	µ)t	µ)t	X
ejpam-6749	107	1	dq	dq	NOUN
ejpam-6749	107	2	dt	dt	NOUN
ejpam-6749	107	3	=	=	PUNCT
ejpam-6749	107	4	γs	γs	X
ejpam-6749	107	5	−	−	X
ejpam-6749	107	6	µq	µq	PROPN
ejpam-6749	107	7	(	(	PUNCT
ejpam-6749	107	8	1	1	NUM
ejpam-6749	107	9	)	)	PUNCT
ejpam-6749	107	10	where	where	SCONJ
ejpam-6749	107	11	the	the	DET
ejpam-6749	107	12	total	total	ADJ
ejpam-6749	107	13	population	population	NOUN
ejpam-6749	107	14	isn(t	isn(t	NOUN
ejpam-6749	107	15	)	)	PUNCT
ejpam-6749	107	16	=	=	SYM
ejpam-6749	108	1	s(t)+t	s(t)+t	NOUN
ejpam-6749	108	2	(	(	PUNCT
ejpam-6749	108	3	t)+q(t	t)+q(t	PROPN
ejpam-6749	108	4	)	)	PUNCT
ejpam-6749	108	5	,	,	PUNCT
ejpam-6749	108	6	s(0	s(0	PROPN
ejpam-6749	108	7	)	)	PUNCT
ejpam-6749	108	8	≥	≥	NOUN
ejpam-6749	108	9	0	0	NUM
ejpam-6749	108	10	,	,	PUNCT
ejpam-6749	108	11	t	t	PROPN
ejpam-6749	108	12	(	(	PUNCT
ejpam-6749	108	13	0	0	NUM
ejpam-6749	108	14	)	)	PUNCT
ejpam-6749	108	15	≥	≥	NOUN
ejpam-6749	108	16	0	0	NUM
ejpam-6749	108	17	,	,	PUNCT
ejpam-6749	108	18	q(0	q(0	PROPN
ejpam-6749	108	19	)	)	PUNCT
ejpam-6749	108	20	≥	≥	NOUN
ejpam-6749	108	21	0	0	NUM
ejpam-6749	108	22	and	and	CCONJ
ejpam-6749	108	23	θ(t	θ(t	PROPN
ejpam-6749	108	24	=	=	SYM
ejpam-6749	108	25	0	0	NUM
ejpam-6749	108	26	)	)	PUNCT
ejpam-6749	108	27	=	=	NOUN
ejpam-6749	109	1	0	0	X
ejpam-6749	109	2	.	.	PUNCT
ejpam-6749	110	1	we	we	PRON
ejpam-6749	110	2	define	define	VERB
ejpam-6749	110	3	the	the	DET
ejpam-6749	110	4	relevant	relevant	ADJ
ejpam-6749	110	5	set	set	NOUN
ejpam-6749	110	6	prior	prior	ADV
ejpam-6749	110	7	to	to	ADP
ejpam-6749	110	8	conducting	conduct	VERB
ejpam-6749	110	9	the	the	DET
ejpam-6749	110	10	mathematical	mathematical	ADJ
ejpam-6749	110	11	analysis	analysis	NOUN
ejpam-6749	110	12	of	of	ADP
ejpam-6749	110	13	our	our	PRON
ejpam-6749	110	14	dynamical	dynamical	ADJ
ejpam-6749	110	15	system	system	NOUN
ejpam-6749	110	16	.	.	PUNCT
ejpam-6749	111	1	definition	definition	NOUN
ejpam-6749	111	2	1	1	NUM
ejpam-6749	111	3	.	.	PUNCT
ejpam-6749	112	1	the	the	DET
ejpam-6749	112	2	state	state	NOUN
ejpam-6749	112	3	space	space	NOUN
ejpam-6749	112	4	for	for	ADP
ejpam-6749	112	5	system	system	NOUN
ejpam-6749	112	6	(	(	PUNCT
ejpam-6749	112	7	1	1	X
ejpam-6749	112	8	)	)	PUNCT
ejpam-6749	112	9	is	be	AUX
ejpam-6749	112	10	defined	define	VERB
ejpam-6749	112	11	as	as	ADP
ejpam-6749	112	12	the	the	DET
ejpam-6749	112	13	non	non	ADJ
ejpam-6749	112	14	-	-	ADJ
ejpam-6749	112	15	negative	negative	ADJ
ejpam-6749	112	16	orthant	orthant	ADJ
ejpam-6749	112	17	ω	ω	PROPN
ejpam-6749	112	18	=	=	SYM
ejpam-6749	112	19	{	{	PUNCT
ejpam-6749	112	20	(	(	PUNCT
ejpam-6749	112	21	s	s	PROPN
ejpam-6749	112	22	,	,	PUNCT
ejpam-6749	112	23	t	t	PROPN
ejpam-6749	112	24	,	,	PUNCT
ejpam-6749	112	25	q	q	NOUN
ejpam-6749	112	26	)	)	PUNCT
ejpam-6749	112	27	∈	∈	PROPN
ejpam-6749	112	28	r3	r3	PROPN
ejpam-6749	113	1	+	+	CCONJ
ejpam-6749	113	2	:	:	PUNCT
ejpam-6749	113	3	s	s	X
ejpam-6749	113	4	≥	≥	NOUN
ejpam-6749	113	5	0	0	NUM
ejpam-6749	113	6	,	,	PUNCT
ejpam-6749	113	7	t	t	PROPN
ejpam-6749	113	8	≥	≥	NUM
ejpam-6749	113	9	0	0	NUM
ejpam-6749	113	10	,	,	PUNCT
ejpam-6749	113	11	q	q	X
ejpam-6749	113	12	≥	≥	NOUN
ejpam-6749	113	13	0	0	NUM
ejpam-6749	113	14	}	}	PUNCT
ejpam-6749	113	15	,	,	PUNCT
ejpam-6749	113	16	equipped	equip	VERB
ejpam-6749	113	17	with	with	ADP
ejpam-6749	113	18	the	the	DET
ejpam-6749	113	19	usual	usual	ADJ
ejpam-6749	113	20	euclidean	euclidean	ADJ
ejpam-6749	113	21	topology	topology	NOUN
ejpam-6749	113	22	.	.	PUNCT
ejpam-6749	114	1	the	the	DET
ejpam-6749	114	2	parameter	parameter	NOUN
ejpam-6749	114	3	space	space	NOUN
ejpam-6749	114	4	is	be	AUX
ejpam-6749	114	5	θ	θ	NOUN
ejpam-6749	114	6	=	=	SYM
ejpam-6749	114	7	{	{	PUNCT
ejpam-6749	114	8	(	(	PUNCT
ejpam-6749	114	9	λ	λ	PROPN
ejpam-6749	114	10	,	,	PUNCT
ejpam-6749	114	11	β	β	X
ejpam-6749	114	12	,	,	PUNCT
ejpam-6749	114	13	γ	γ	PROPN
ejpam-6749	114	14	,	,	PUNCT
ejpam-6749	114	15	φ	φ	PROPN
ejpam-6749	114	16	,	,	PUNCT
ejpam-6749	114	17	µ	µ	NOUN
ejpam-6749	114	18	,	,	PUNCT
ejpam-6749	114	19	δ	δ	PROPN
ejpam-6749	114	20	,	,	PUNCT
ejpam-6749	114	21	k	k	NOUN
ejpam-6749	114	22	)	)	PUNCT
ejpam-6749	114	23	∈	∈	PROPN
ejpam-6749	114	24	r7	r7	NOUN
ejpam-6749	115	1	+	+	PROPN
ejpam-6749	115	2	+	+	NUM
ejpam-6749	115	3	:	:	PUNCT
ejpam-6749	115	4	all	all	DET
ejpam-6749	115	5	parameters	parameter	NOUN
ejpam-6749	115	6	strictly	strictly	ADV
ejpam-6749	115	7	positive	positive	ADJ
ejpam-6749	115	8	}	}	PUNCT
ejpam-6749	115	9	m.	m.	NOUN
ejpam-6749	115	10	zorom	zorom	NOUN
ejpam-6749	115	11	et	et	PROPN
ejpam-6749	115	12	al	al	PROPN
ejpam-6749	115	13	.	.	PUNCT
ejpam-6749	115	14	/	/	SYM
ejpam-6749	115	15	eur	eur	PROPN
ejpam-6749	115	16	.	.	PUNCT
ejpam-6749	116	1	j.	j.	PROPN
ejpam-6749	116	2	pure	pure	PROPN
ejpam-6749	116	3	appl	appl	PROPN
ejpam-6749	116	4	.	.	PROPN
ejpam-6749	116	5	math	math	PROPN
ejpam-6749	116	6	,	,	PUNCT
ejpam-6749	116	7	18	18	NUM
ejpam-6749	116	8	(	(	PUNCT
ejpam-6749	116	9	4	4	NUM
ejpam-6749	116	10	)	)	PUNCT
ejpam-6749	116	11	(	(	PUNCT
ejpam-6749	116	12	2025	2025	NUM
ejpam-6749	116	13	)	)	PUNCT
ejpam-6749	116	14	,	,	PUNCT
ejpam-6749	116	15	6749	6749	NUM
ejpam-6749	116	16	7	7	NUM
ejpam-6749	116	17	of	of	ADP
ejpam-6749	116	18	47	47	NUM
ejpam-6749	116	19	ensuring	ensure	VERB
ejpam-6749	116	20	biological	biological	ADJ
ejpam-6749	116	21	meaningfulness	meaningfulness	NOUN
ejpam-6749	116	22	of	of	ADP
ejpam-6749	116	23	the	the	DET
ejpam-6749	116	24	model	model	NOUN
ejpam-6749	116	25	parameters	parameter	NOUN
ejpam-6749	116	26	according	accord	VERB
ejpam-6749	116	27	to	to	ADP
ejpam-6749	116	28	the	the	DET
ejpam-6749	116	29	principles	principle	NOUN
ejpam-6749	116	30	established	establish	VERB
ejpam-6749	116	31	by	by	ADP
ejpam-6749	116	32	thieme	thieme	NOUN
ejpam-6749	116	33	[	[	X
ejpam-6749	116	34	32	32	NUM
ejpam-6749	116	35	]	]	PUNCT
ejpam-6749	116	36	.	.	PUNCT
ejpam-6749	117	1	in	in	ADP
ejpam-6749	117	2	the	the	DET
ejpam-6749	117	3	next	next	ADJ
ejpam-6749	117	4	section	section	NOUN
ejpam-6749	117	5	,	,	PUNCT
ejpam-6749	117	6	we	we	PRON
ejpam-6749	117	7	make	make	VERB
ejpam-6749	117	8	the	the	DET
ejpam-6749	117	9	mathematical	mathematical	ADJ
ejpam-6749	117	10	analysis	analysis	NOUN
ejpam-6749	117	11	.	.	PUNCT
ejpam-6749	118	1	the	the	DET
ejpam-6749	118	2	mathematical	mathematical	ADJ
ejpam-6749	118	3	analysis	analysis	NOUN
ejpam-6749	118	4	begins	begin	VERB
ejpam-6749	118	5	by	by	ADP
ejpam-6749	118	6	establishing	establish	VERB
ejpam-6749	118	7	that	that	DET
ejpam-6749	118	8	system	system	NOUN
ejpam-6749	118	9	(	(	PUNCT
ejpam-6749	118	10	1	1	X
ejpam-6749	118	11	)	)	PUNCT
ejpam-6749	118	12	generates	generate	VERB
ejpam-6749	118	13	a	a	DET
ejpam-6749	118	14	well	well	ADV
ejpam-6749	118	15	-	-	PUNCT
ejpam-6749	118	16	defined	define	VERB
ejpam-6749	118	17	dynamical	dynamical	ADJ
ejpam-6749	118	18	system	system	NOUN
ejpam-6749	118	19	on	on	ADP
ejpam-6749	118	20	the	the	DET
ejpam-6749	118	21	biologically	biologically	ADV
ejpam-6749	118	22	meaningful	meaningful	ADJ
ejpam-6749	118	23	domain	domain	NOUN
ejpam-6749	118	24	.	.	PUNCT
ejpam-6749	119	1	following	follow	VERB
ejpam-6749	119	2	the	the	DET
ejpam-6749	119	3	general	general	ADJ
ejpam-6749	119	4	theory	theory	NOUN
ejpam-6749	119	5	of	of	ADP
ejpam-6749	119	6	dynamical	dynamical	ADJ
ejpam-6749	119	7	systems	system	NOUN
ejpam-6749	119	8	developed	develop	VERB
ejpam-6749	119	9	by	by	ADP
ejpam-6749	119	10	perko	perko	X
ejpam-6749	119	11	[	[	X
ejpam-6749	119	12	33	33	NUM
ejpam-6749	119	13	]	]	PUNCT
ejpam-6749	119	14	and	and	CCONJ
ejpam-6749	119	15	specialized	specialized	ADJ
ejpam-6749	119	16	results	result	NOUN
ejpam-6749	119	17	for	for	ADP
ejpam-6749	119	18	population	population	NOUN
ejpam-6749	119	19	models	model	NOUN
ejpam-6749	119	20	by	by	ADP
ejpam-6749	119	21	smith	smith	PROPN
ejpam-6749	119	22	[	[	X
ejpam-6749	119	23	34	34	NUM
ejpam-6749	119	24	]	]	PUNCT
ejpam-6749	119	25	,	,	PUNCT
ejpam-6749	119	26	we	we	PRON
ejpam-6749	119	27	must	must	AUX
ejpam-6749	119	28	verify	verify	VERB
ejpam-6749	119	29	positive	positive	ADJ
ejpam-6749	119	30	invariance	invariance	NOUN
ejpam-6749	119	31	,	,	PUNCT
ejpam-6749	119	32	boundedness	boundedness	NOUN
ejpam-6749	119	33	,	,	PUNCT
ejpam-6749	119	34	and	and	CCONJ
ejpam-6749	119	35	global	global	ADJ
ejpam-6749	119	36	existence	existence	NOUN
ejpam-6749	119	37	of	of	ADP
ejpam-6749	119	38	solutions	solution	NOUN
ejpam-6749	119	39	.	.	PUNCT
ejpam-6749	120	1	3	3	X
ejpam-6749	120	2	.	.	X
ejpam-6749	120	3	mathematical	mathematical	ADJ
ejpam-6749	120	4	analysis	analysis	NOUN
ejpam-6749	120	5	of	of	ADP
ejpam-6749	120	6	the	the	DET
ejpam-6749	120	7	nonlinear	nonlinear	ADJ
ejpam-6749	120	8	differential	differential	ADJ
ejpam-6749	120	9	equation	equation	NOUN
ejpam-6749	120	10	system	system	NOUN
ejpam-6749	120	11	3.1	3.1	NUM
ejpam-6749	120	12	.	.	PUNCT
ejpam-6749	120	13	positive	positive	ADJ
ejpam-6749	120	14	invariance	invariance	NOUN
ejpam-6749	120	15	and	and	CCONJ
ejpam-6749	120	16	boundedness	boundedness	PROPN
ejpam-6749	120	17	lemma	lemma	PROPN
ejpam-6749	120	18	1	1	NUM
ejpam-6749	120	19	.	.	PUNCT
ejpam-6749	121	1	the	the	DET
ejpam-6749	121	2	set	set	PROPN
ejpam-6749	121	3	ω	ω	PROPN
ejpam-6749	121	4	is	be	AUX
ejpam-6749	121	5	positively	positively	ADV
ejpam-6749	121	6	invariant	invariant	ADJ
ejpam-6749	121	7	under	under	ADP
ejpam-6749	121	8	the	the	DET
ejpam-6749	121	9	flow	flow	NOUN
ejpam-6749	121	10	of	of	ADP
ejpam-6749	121	11	system	system	NOUN
ejpam-6749	121	12	(	(	PUNCT
ejpam-6749	121	13	1	1	NUM
ejpam-6749	121	14	)	)	PUNCT
ejpam-6749	121	15	.	.	PUNCT
ejpam-6749	122	1	moreover	moreover	ADV
ejpam-6749	122	2	,	,	PUNCT
ejpam-6749	122	3	all	all	DET
ejpam-6749	122	4	solutions	solution	NOUN
ejpam-6749	122	5	starting	start	VERB
ejpam-6749	122	6	in	in	ADP
ejpam-6749	122	7	ω	ω	PROPN
ejpam-6749	122	8	are	be	AUX
ejpam-6749	122	9	ultimately	ultimately	ADV
ejpam-6749	122	10	bounded	bound	VERB
ejpam-6749	122	11	.	.	PUNCT
ejpam-6749	123	1	lemma	lemma	PROPN
ejpam-6749	123	2	2	2	NUM
ejpam-6749	123	3	(	(	PUNCT
ejpam-6749	123	4	positive	positive	ADJ
ejpam-6749	123	5	invariance	invariance	NOUN
ejpam-6749	123	6	and	and	CCONJ
ejpam-6749	123	7	boundedness	boundedness	NOUN
ejpam-6749	123	8	)	)	PUNCT
ejpam-6749	123	9	.	.	PUNCT
ejpam-6749	124	1	the	the	DET
ejpam-6749	124	2	set	set	PROPN
ejpam-6749	124	3	ω	ω	PROPN
ejpam-6749	124	4	is	be	AUX
ejpam-6749	124	5	positively	positively	ADV
ejpam-6749	124	6	invariant	invariant	ADJ
ejpam-6749	124	7	under	under	ADP
ejpam-6749	124	8	the	the	DET
ejpam-6749	124	9	flow	flow	NOUN
ejpam-6749	124	10	of	of	ADP
ejpam-6749	124	11	system	system	NOUN
ejpam-6749	124	12	(	(	PUNCT
ejpam-6749	124	13	1	1	NUM
ejpam-6749	124	14	)	)	PUNCT
ejpam-6749	124	15	.	.	PUNCT
ejpam-6749	125	1	moreover	moreover	ADV
ejpam-6749	125	2	,	,	PUNCT
ejpam-6749	125	3	all	all	DET
ejpam-6749	125	4	solutions	solution	NOUN
ejpam-6749	125	5	starting	start	VERB
ejpam-6749	125	6	in	in	ADP
ejpam-6749	125	7	ω	ω	PROPN
ejpam-6749	125	8	are	be	AUX
ejpam-6749	125	9	ultimately	ultimately	ADV
ejpam-6749	125	10	bounded	bound	VERB
ejpam-6749	125	11	.	.	PUNCT
ejpam-6749	126	1	proof	proof	NOUN
ejpam-6749	126	2	.	.	PUNCT
ejpam-6749	127	1	we	we	PRON
ejpam-6749	127	2	establish	establish	VERB
ejpam-6749	127	3	positive	positive	ADJ
ejpam-6749	127	4	invariance	invariance	NOUN
ejpam-6749	127	5	by	by	ADP
ejpam-6749	127	6	analyzing	analyze	VERB
ejpam-6749	127	7	vector	vector	NOUN
ejpam-6749	127	8	field	field	NOUN
ejpam-6749	127	9	behavior	behavior	NOUN
ejpam-6749	127	10	at	at	ADP
ejpam-6749	127	11	boundary	boundary	ADJ
ejpam-6749	127	12	components	component	NOUN
ejpam-6749	127	13	of	of	ADP
ejpam-6749	127	14	ω	ω	PROPN
ejpam-6749	127	15	,	,	PUNCT
ejpam-6749	127	16	using	use	VERB
ejpam-6749	127	17	only	only	ADJ
ejpam-6749	127	18	elementary	elementary	ADJ
ejpam-6749	127	19	arguments	argument	NOUN
ejpam-6749	127	20	.	.	PUNCT
ejpam-6749	128	1	boundary	boundary	ADJ
ejpam-6749	128	2	analysis	analysis	NOUN
ejpam-6749	128	3	:	:	PUNCT
ejpam-6749	128	4	at	at	ADP
ejpam-6749	128	5	{	{	PUNCT
ejpam-6749	128	6	s	s	NOUN
ejpam-6749	128	7	=	=	ADJ
ejpam-6749	128	8	0	0	NUM
ejpam-6749	128	9	}	}	PUNCT
ejpam-6749	128	10	∩	∩	ADJ
ejpam-6749	128	11	ω	ω	NOUN
ejpam-6749	128	12	:	:	PUNCT
ejpam-6749	128	13	ds	ds	ADJ
ejpam-6749	128	14	dt	dt	X
ejpam-6749	128	15	∣∣	∣∣	X
ejpam-6749	128	16	s=0	s=0	PROPN
ejpam-6749	128	17	=	=	PRON
ejpam-6749	128	18	λ+	λ+	PUNCT
ejpam-6749	128	19	ϕt	ϕt	ADV
ejpam-6749	128	20	≥	≥	X
ejpam-6749	128	21	λ	λ	X
ejpam-6749	128	22	>	>	X
ejpam-6749	128	23	0	0	NUM
ejpam-6749	128	24	,	,	PUNCT
ejpam-6749	128	25	so	so	ADV
ejpam-6749	128	26	the	the	DET
ejpam-6749	128	27	vector	vector	NOUN
ejpam-6749	128	28	field	field	NOUN
ejpam-6749	128	29	points	point	VERB
ejpam-6749	128	30	into	into	ADP
ejpam-6749	128	31	the	the	DET
ejpam-6749	128	32	interior	interior	NOUN
ejpam-6749	128	33	.	.	PUNCT
ejpam-6749	129	1	if	if	SCONJ
ejpam-6749	129	2	s(0	s(0	PROPN
ejpam-6749	129	3	)	)	PUNCT
ejpam-6749	129	4	>	>	SYM
ejpam-6749	129	5	0	0	NUM
ejpam-6749	129	6	and	and	CCONJ
ejpam-6749	129	7	s(t∗	s(t∗	NOUN
ejpam-6749	129	8	)	)	PUNCT
ejpam-6749	129	9	=	=	SYM
ejpam-6749	129	10	0	0	NUM
ejpam-6749	129	11	for	for	ADP
ejpam-6749	129	12	some	some	DET
ejpam-6749	129	13	finite	finite	ADJ
ejpam-6749	129	14	t∗	t∗	PROPN
ejpam-6749	129	15	>	>	X
ejpam-6749	129	16	0	0	NUM
ejpam-6749	129	17	,	,	PUNCT
ejpam-6749	129	18	then	then	ADV
ejpam-6749	129	19	by	by	ADP
ejpam-6749	129	20	the	the	DET
ejpam-6749	129	21	fundamental	fundamental	ADJ
ejpam-6749	129	22	theorem	theorem	NOUN
ejpam-6749	129	23	of	of	ADP
ejpam-6749	129	24	calculus	calculus	NOUN
ejpam-6749	129	25	,	,	PUNCT
ejpam-6749	129	26	∫	∫	PROPN
ejpam-6749	129	27	t∗	t∗	NOUN
ejpam-6749	129	28	0	0	NUM
ejpam-6749	129	29	ds	ds	ADJ
ejpam-6749	129	30	dt	dt	X
ejpam-6749	129	31	(	(	PUNCT
ejpam-6749	129	32	τ)dτ	τ)dτ	PROPN
ejpam-6749	129	33	=	=	SYM
ejpam-6749	129	34	−s(0	−s(0	NOUN
ejpam-6749	129	35	)	)	PUNCT
ejpam-6749	129	36	<	<	X
ejpam-6749	129	37	0	0	X
ejpam-6749	129	38	.	.	PUNCT
ejpam-6749	130	1	however	however	ADV
ejpam-6749	130	2	,	,	PUNCT
ejpam-6749	130	3	as	as	ADP
ejpam-6749	130	4	s(τ	s(τ	PROPN
ejpam-6749	130	5	)	)	PUNCT
ejpam-6749	130	6	→	→	SYM
ejpam-6749	130	7	0	0	NUM
ejpam-6749	130	8	+	+	NUM
ejpam-6749	130	9	,	,	PUNCT
ejpam-6749	130	10	we	we	PRON
ejpam-6749	130	11	have	have	VERB
ejpam-6749	130	12	ds	ds	PRON
ejpam-6749	130	13	dt	dt	X
ejpam-6749	130	14	(	(	PUNCT
ejpam-6749	130	15	τ	τ	X
ejpam-6749	130	16	)	)	PUNCT
ejpam-6749	131	1	=	=	SYM
ejpam-6749	131	2	λ	λ	NOUN
ejpam-6749	132	1	+	+	NUM
ejpam-6749	132	2	ϕt	ϕt	PROPN
ejpam-6749	132	3	(	(	PUNCT
ejpam-6749	132	4	τ	τ	PROPN
ejpam-6749	132	5	)	)	PUNCT
ejpam-6749	133	1	−	−	PROPN
ejpam-6749	133	2	s(τ)[(µ	s(τ)[(µ	NUM
ejpam-6749	133	3	+	+	CCONJ
ejpam-6749	133	4	γ	γ	X
ejpam-6749	133	5	)	)	PUNCT
ejpam-6749	133	6	+	+	CCONJ
ejpam-6749	133	7	(	(	PUNCT
ejpam-6749	133	8	β	β	X
ejpam-6749	133	9	+	+	X
ejpam-6749	133	10	k)t	k)t	X
ejpam-6749	133	11	(	(	PUNCT
ejpam-6749	133	12	τ	τ	X
ejpam-6749	133	13	)	)	PUNCT
ejpam-6749	133	14	]	]	PUNCT
ejpam-6749	134	1	→	→	PUNCT
ejpam-6749	134	2	λ	λ	X
ejpam-6749	134	3	+	+	NUM
ejpam-6749	134	4	ϕt	ϕt	INTJ
ejpam-6749	134	5	(	(	PUNCT
ejpam-6749	134	6	t∗	t∗	PROPN
ejpam-6749	134	7	)	)	PUNCT
ejpam-6749	134	8	≥	≥	NOUN
ejpam-6749	135	1	λ	λ	X
ejpam-6749	135	2	>	>	X
ejpam-6749	135	3	0	0	NUM
ejpam-6749	135	4	,	,	PUNCT
ejpam-6749	135	5	making	make	VERB
ejpam-6749	135	6	the	the	DET
ejpam-6749	135	7	required	require	VERB
ejpam-6749	135	8	negative	negative	ADJ
ejpam-6749	135	9	integral	integral	ADJ
ejpam-6749	135	10	impossible	impossible	ADJ
ejpam-6749	135	11	.	.	PUNCT
ejpam-6749	136	1	at	at	ADP
ejpam-6749	136	2	{	{	PUNCT
ejpam-6749	136	3	t	t	NOUN
ejpam-6749	136	4	=	=	PUNCT
ejpam-6749	136	5	0}∩ω	0}∩ω	NOUN
ejpam-6749	136	6	:	:	PUNCT
ejpam-6749	136	7	dt	dt	PUNCT
ejpam-6749	136	8	dt	dt	X
ejpam-6749	136	9	∣∣	∣∣	X
ejpam-6749	136	10	t=0	t=0	X
ejpam-6749	136	11	=	=	SYM
ejpam-6749	136	12	0	0	NUM
ejpam-6749	136	13	,	,	PUNCT
ejpam-6749	136	14	so	so	SCONJ
ejpam-6749	136	15	this	this	DET
ejpam-6749	136	16	boundary	boundary	NOUN
ejpam-6749	136	17	is	be	AUX
ejpam-6749	136	18	invariant	invariant	ADJ
ejpam-6749	136	19	.	.	PUNCT
ejpam-6749	137	1	for	for	ADP
ejpam-6749	137	2	t	t	PROPN
ejpam-6749	137	3	(	(	PUNCT
ejpam-6749	137	4	0	0	NUM
ejpam-6749	137	5	)	)	PUNCT
ejpam-6749	137	6	>	>	X
ejpam-6749	137	7	0	0	NUM
ejpam-6749	137	8	,	,	PUNCT
ejpam-6749	137	9	the	the	DET
ejpam-6749	137	10	equation	equation	NOUN
ejpam-6749	137	11	dt	dt	X
ejpam-6749	138	1	dt	dt	X
ejpam-6749	138	2	=	=	SYM
ejpam-6749	138	3	t	t	PROPN
ejpam-6749	139	1	[	[	X
ejpam-6749	139	2	βs	βs	X
ejpam-6749	139	3	−	−	NOUN
ejpam-6749	139	4	(	(	PUNCT
ejpam-6749	139	5	ϕ+	ϕ+	X
ejpam-6749	139	6	δ+	δ+	X
ejpam-6749	139	7	µ	µ	X
ejpam-6749	139	8	)	)	PUNCT
ejpam-6749	139	9	]	]	PUNCT
ejpam-6749	139	10	shows	show	VERB
ejpam-6749	139	11	that	that	SCONJ
ejpam-6749	139	12	if	if	SCONJ
ejpam-6749	139	13	t	t	PROPN
ejpam-6749	139	14	(	(	PUNCT
ejpam-6749	139	15	t∗	t∗	PROPN
ejpam-6749	139	16	)	)	PUNCT
ejpam-6749	139	17	=	=	SYM
ejpam-6749	139	18	0	0	NUM
ejpam-6749	139	19	,	,	PUNCT
ejpam-6749	139	20	then	then	ADV
ejpam-6749	139	21	∫	∫	PROPN
ejpam-6749	139	22	t∗	t∗	PROPN
ejpam-6749	139	23	0	0	PROPN
ejpam-6749	139	24	t	t	PROPN
ejpam-6749	139	25	(	(	PUNCT
ejpam-6749	139	26	τ)[βs(τ)−	τ)[βs(τ)−	PROPN
ejpam-6749	139	27	(	(	PUNCT
ejpam-6749	139	28	ϕ+	ϕ+	X
ejpam-6749	139	29	δ+	δ+	PUNCT
ejpam-6749	139	30	µ)]dτ	µ)]dτ	X
ejpam-6749	139	31	=	=	SYM
ejpam-6749	139	32	−t	−t	PROPN
ejpam-6749	139	33	(	(	PUNCT
ejpam-6749	139	34	0	0	NUM
ejpam-6749	139	35	)	)	PUNCT
ejpam-6749	139	36	<	<	X
ejpam-6749	139	37	0	0	X
ejpam-6749	139	38	.	.	PUNCT
ejpam-6749	140	1	but	but	CCONJ
ejpam-6749	140	2	as	as	ADP
ejpam-6749	140	3	t	t	PROPN
ejpam-6749	140	4	(	(	PUNCT
ejpam-6749	140	5	τ	τ	PROPN
ejpam-6749	140	6	)	)	PUNCT
ejpam-6749	140	7	→	→	SYM
ejpam-6749	140	8	0	0	NUM
ejpam-6749	140	9	+	+	PROPN
ejpam-6749	140	10	,	,	PUNCT
ejpam-6749	140	11	the	the	DET
ejpam-6749	140	12	integrand	integrand	NOUN
ejpam-6749	140	13	vanishes	vanish	VERB
ejpam-6749	140	14	regardless	regardless	ADV
ejpam-6749	140	15	of	of	ADP
ejpam-6749	140	16	the	the	DET
ejpam-6749	140	17	bracketed	bracketed	ADJ
ejpam-6749	140	18	term	term	NOUN
ejpam-6749	140	19	’s	’s	PART
ejpam-6749	140	20	sign	sign	NOUN
ejpam-6749	140	21	,	,	PUNCT
ejpam-6749	140	22	preventing	prevent	VERB
ejpam-6749	140	23	the	the	DET
ejpam-6749	140	24	required	require	VERB
ejpam-6749	140	25	negative	negative	ADJ
ejpam-6749	140	26	accumulation	accumulation	NOUN
ejpam-6749	140	27	.	.	PUNCT
ejpam-6749	141	1	at	at	ADP
ejpam-6749	141	2	{	{	PUNCT
ejpam-6749	141	3	q	q	NOUN
ejpam-6749	141	4	=	=	NOUN
ejpam-6749	141	5	0	0	NUM
ejpam-6749	141	6	}	}	PUNCT
ejpam-6749	141	7	∩	∩	ADJ
ejpam-6749	141	8	ω	ω	NOUN
ejpam-6749	141	9	:	:	PUNCT
ejpam-6749	141	10	dq	dq	NOUN
ejpam-6749	141	11	dt	dt	ADP
ejpam-6749	141	12	∣∣	∣∣	PUNCT
ejpam-6749	141	13	q=0	q=0	NOUN
ejpam-6749	141	14	=	=	PUNCT
ejpam-6749	141	15	γs	γ	VERB
ejpam-6749	141	16	≥	≥	NOUN
ejpam-6749	141	17	0	0	NUM
ejpam-6749	141	18	.	.	PUNCT
ejpam-6749	142	1	since	since	SCONJ
ejpam-6749	142	2	s(t	s(t	PROPN
ejpam-6749	142	3	)	)	PUNCT
ejpam-6749	142	4	>	>	X
ejpam-6749	142	5	0	0	PUNCT
ejpam-6749	143	1	for	for	ADP
ejpam-6749	143	2	t	t	PROPN
ejpam-6749	143	3	>	>	X
ejpam-6749	143	4	0	0	PUNCT
ejpam-6749	143	5	(	(	PUNCT
ejpam-6749	143	6	established	establish	VERB
ejpam-6749	143	7	above	above	ADV
ejpam-6749	143	8	)	)	PUNCT
ejpam-6749	143	9	,	,	PUNCT
ejpam-6749	143	10	we	we	PRON
ejpam-6749	143	11	have	have	VERB
ejpam-6749	143	12	dq	dq	NUM
ejpam-6749	143	13	dt	dt	VERB
ejpam-6749	143	14	∣∣	∣∣	X
ejpam-6749	143	15	q=0	q=0	ADV
ejpam-6749	143	16	>	>	X
ejpam-6749	143	17	0	0	NUM
ejpam-6749	143	18	,	,	PUNCT
ejpam-6749	143	19	so	so	ADV
ejpam-6749	143	20	the	the	DET
ejpam-6749	143	21	vector	vector	NOUN
ejpam-6749	143	22	field	field	NOUN
ejpam-6749	143	23	points	point	VERB
ejpam-6749	143	24	into	into	ADP
ejpam-6749	143	25	the	the	DET
ejpam-6749	143	26	interior	interior	NOUN
ejpam-6749	143	27	.	.	PUNCT
ejpam-6749	144	1	similar	similar	ADJ
ejpam-6749	144	2	integral	integral	ADJ
ejpam-6749	144	3	arguments	argument	NOUN
ejpam-6749	144	4	prevent	prevent	VERB
ejpam-6749	144	5	finite	finite	ADJ
ejpam-6749	144	6	-	-	PUNCT
ejpam-6749	144	7	time	time	NOUN
ejpam-6749	144	8	approach	approach	NOUN
ejpam-6749	144	9	from	from	ADP
ejpam-6749	144	10	q(0	q(0	PROPN
ejpam-6749	144	11	)	)	PUNCT
ejpam-6749	144	12	>	>	X
ejpam-6749	145	1	0	0	X
ejpam-6749	145	2	.	.	PUNCT
ejpam-6749	146	1	boundedness	boundedness	PROPN
ejpam-6749	146	2	:	:	PUNCT
ejpam-6749	146	3	the	the	DET
ejpam-6749	146	4	total	total	ADJ
ejpam-6749	146	5	population	population	NOUN
ejpam-6749	146	6	n(t	n(t	NOUN
ejpam-6749	146	7	)	)	PUNCT
ejpam-6749	146	8	=	=	PUNCT
ejpam-6749	146	9	s(t	s(t	PROPN
ejpam-6749	146	10	)	)	PUNCT
ejpam-6749	147	1	+	+	NUM
ejpam-6749	147	2	t	t	PROPN
ejpam-6749	147	3	(	(	PUNCT
ejpam-6749	147	4	t	t	PROPN
ejpam-6749	147	5	)	)	PUNCT
ejpam-6749	148	1	+	+	NOUN
ejpam-6749	148	2	q(t	q(t	NOUN
ejpam-6749	148	3	)	)	PUNCT
ejpam-6749	148	4	satisfies	satisfie	NOUN
ejpam-6749	148	5	:	:	PUNCT
ejpam-6749	148	6	dn	dn	NOUN
ejpam-6749	148	7	dt	dt	NOUN
ejpam-6749	149	1	=	=	SYM
ejpam-6749	150	1	λ−	λ−	PROPN
ejpam-6749	151	1	µs	µs	ADP
ejpam-6749	151	2	−	−	X
ejpam-6749	151	3	µt	µt	PRON
ejpam-6749	151	4	−	−	PROPN
ejpam-6749	151	5	µq−	µq−	PUNCT
ejpam-6749	151	6	δt	δt	PROPN
ejpam-6749	151	7	−	−	PROPN
ejpam-6749	151	8	kst	kst	PROPN
ejpam-6749	151	9	=	=	SYM
ejpam-6749	151	10	λ−	λ−	PROPN
ejpam-6749	151	11	µn	µn	PROPN
ejpam-6749	151	12	−	−	PROPN
ejpam-6749	151	13	δt	δt	NOUN
ejpam-6749	151	14	−	−	PROPN
ejpam-6749	151	15	kst	kst	PROPN
ejpam-6749	151	16	since	since	SCONJ
ejpam-6749	151	17	δt	δt	PROPN
ejpam-6749	151	18	≥	≥	X
ejpam-6749	151	19	0	0	NUM
ejpam-6749	151	20	and	and	CCONJ
ejpam-6749	151	21	kst	kst	PROPN
ejpam-6749	151	22	≥	≥	PROPN
ejpam-6749	151	23	0	0	NUM
ejpam-6749	151	24	,	,	PUNCT
ejpam-6749	151	25	we	we	PRON
ejpam-6749	151	26	have	have	VERB
ejpam-6749	151	27	dn	dn	NOUN
ejpam-6749	151	28	dt	dt	NOUN
ejpam-6749	151	29	≤	≤	X
ejpam-6749	151	30	λ−	λ−	PROPN
ejpam-6749	151	31	µn	µn	PROPN
ejpam-6749	151	32	.	.	PUNCT
ejpam-6749	152	1	by	by	ADP
ejpam-6749	152	2	grönwall	grönwall	PROPN
ejpam-6749	152	3	’s	’s	PART
ejpam-6749	152	4	inequality	inequality	NOUN
ejpam-6749	152	5	:	:	PUNCT
ejpam-6749	152	6	n(t	n(t	X
ejpam-6749	152	7	)	)	PUNCT
ejpam-6749	152	8	≤	≤	NUM
ejpam-6749	152	9	n(0)e−µt	n(0)e−µt	VERB
ejpam-6749	153	1	+	+	X
ejpam-6749	153	2	λ	λ	X
ejpam-6749	153	3	µ	µ	X
ejpam-6749	153	4	(	(	PUNCT
ejpam-6749	153	5	1−	1−	NUM
ejpam-6749	153	6	e−µt	e−µt	PROPN
ejpam-6749	153	7	)	)	PUNCT
ejpam-6749	153	8	taking	take	VERB
ejpam-6749	153	9	t	t	NOUN
ejpam-6749	153	10	→	→	SYM
ejpam-6749	153	11	∞	∞	PROPN
ejpam-6749	153	12	gives	give	VERB
ejpam-6749	153	13	lim	lim	PROPN
ejpam-6749	153	14	supt→∞n(t	supt→∞n(t	PROPN
ejpam-6749	153	15	)	)	PUNCT
ejpam-6749	153	16	≤	≤	NUM
ejpam-6749	153	17	λ	λ	PROPN
ejpam-6749	153	18	µ	µ	X
ejpam-6749	153	19	,	,	PUNCT
ejpam-6749	153	20	establishing	establish	VERB
ejpam-6749	153	21	ultimate	ultimate	ADJ
ejpam-6749	153	22	boundedness	boundedness	NOUN
ejpam-6749	153	23	.	.	PUNCT
ejpam-6749	154	1	m.	m.	NOUN
ejpam-6749	154	2	zorom	zorom	VERB
ejpam-6749	154	3	et	et	PROPN
ejpam-6749	154	4	al	al	PROPN
ejpam-6749	154	5	.	.	PUNCT
ejpam-6749	154	6	/	/	SYM
ejpam-6749	154	7	eur	eur	PROPN
ejpam-6749	154	8	.	.	PUNCT
ejpam-6749	155	1	j.	j.	PROPN
ejpam-6749	155	2	pure	pure	PROPN
ejpam-6749	155	3	appl	appl	PROPN
ejpam-6749	155	4	.	.	PROPN
ejpam-6749	155	5	math	math	PROPN
ejpam-6749	155	6	,	,	PUNCT
ejpam-6749	155	7	18	18	NUM
ejpam-6749	155	8	(	(	PUNCT
ejpam-6749	155	9	4	4	NUM
ejpam-6749	155	10	)	)	PUNCT
ejpam-6749	155	11	(	(	PUNCT
ejpam-6749	155	12	2025	2025	NUM
ejpam-6749	155	13	)	)	PUNCT
ejpam-6749	155	14	,	,	PUNCT
ejpam-6749	155	15	6749	6749	NUM
ejpam-6749	155	16	8	8	NUM
ejpam-6749	155	17	of	of	ADP
ejpam-6749	155	18	47	47	NUM
ejpam-6749	155	19	lemma	lemma	PROPN
ejpam-6749	155	20	3	3	NUM
ejpam-6749	155	21	(	(	PUNCT
ejpam-6749	155	22	positive	positive	ADJ
ejpam-6749	155	23	invariance	invariance	NOUN
ejpam-6749	155	24	and	and	CCONJ
ejpam-6749	155	25	boundedness	boundedness	NOUN
ejpam-6749	155	26	)	)	PUNCT
ejpam-6749	155	27	.	.	PUNCT
ejpam-6749	156	1	the	the	DET
ejpam-6749	156	2	set	set	PROPN
ejpam-6749	156	3	ω	ω	PROPN
ejpam-6749	156	4	is	be	AUX
ejpam-6749	156	5	positively	positively	ADV
ejpam-6749	156	6	invariant	invariant	ADJ
ejpam-6749	156	7	under	under	ADP
ejpam-6749	156	8	the	the	DET
ejpam-6749	156	9	flow	flow	NOUN
ejpam-6749	156	10	of	of	ADP
ejpam-6749	156	11	system	system	NOUN
ejpam-6749	156	12	(	(	PUNCT
ejpam-6749	156	13	1	1	NUM
ejpam-6749	156	14	)	)	PUNCT
ejpam-6749	156	15	.	.	PUNCT
ejpam-6749	157	1	moreover	moreover	ADV
ejpam-6749	157	2	,	,	PUNCT
ejpam-6749	157	3	all	all	DET
ejpam-6749	157	4	solutions	solution	NOUN
ejpam-6749	157	5	starting	start	VERB
ejpam-6749	157	6	in	in	ADP
ejpam-6749	157	7	ω	ω	PROPN
ejpam-6749	157	8	are	be	AUX
ejpam-6749	157	9	ultimately	ultimately	ADV
ejpam-6749	157	10	bounded	bound	VERB
ejpam-6749	157	11	.	.	PUNCT
ejpam-6749	158	1	proof	proof	NOUN
ejpam-6749	158	2	.	.	PUNCT
ejpam-6749	159	1	we	we	PRON
ejpam-6749	159	2	establish	establish	VERB
ejpam-6749	159	3	positive	positive	ADJ
ejpam-6749	159	4	invariance	invariance	NOUN
ejpam-6749	159	5	by	by	ADP
ejpam-6749	159	6	analyzing	analyze	VERB
ejpam-6749	159	7	vector	vector	NOUN
ejpam-6749	159	8	field	field	NOUN
ejpam-6749	159	9	behavior	behavior	NOUN
ejpam-6749	159	10	at	at	ADP
ejpam-6749	159	11	boundary	boundary	ADJ
ejpam-6749	159	12	components	component	NOUN
ejpam-6749	159	13	,	,	PUNCT
ejpam-6749	159	14	following	follow	VERB
ejpam-6749	159	15	smith	smith	PROPN
ejpam-6749	159	16	[	[	X
ejpam-6749	159	17	34	34	NUM
ejpam-6749	159	18	]	]	PUNCT
ejpam-6749	159	19	for	for	ADP
ejpam-6749	159	20	cooperative	cooperative	ADJ
ejpam-6749	159	21	systems	system	NOUN
ejpam-6749	159	22	and	and	CCONJ
ejpam-6749	159	23	extended	extend	VERB
ejpam-6749	159	24	by	by	ADP
ejpam-6749	159	25	thieme	thieme	NOUN
ejpam-6749	159	26	[	[	X
ejpam-6749	159	27	32	32	NUM
ejpam-6749	159	28	]	]	PUNCT
ejpam-6749	159	29	to	to	ADP
ejpam-6749	159	30	general	general	ADJ
ejpam-6749	159	31	population	population	NOUN
ejpam-6749	159	32	models	model	NOUN
ejpam-6749	159	33	.	.	PUNCT
ejpam-6749	160	1	for	for	ADP
ejpam-6749	160	2	boundary	boundary	ADJ
ejpam-6749	160	3	analysis	analysis	NOUN
ejpam-6749	160	4	:	:	PUNCT
ejpam-6749	160	5	at	at	ADP
ejpam-6749	160	6	{	{	PUNCT
ejpam-6749	160	7	s	s	NOUN
ejpam-6749	160	8	=	=	ADJ
ejpam-6749	160	9	0	0	NUM
ejpam-6749	160	10	}	}	PUNCT
ejpam-6749	160	11	∩	∩	ADJ
ejpam-6749	160	12	ω	ω	NOUN
ejpam-6749	160	13	:	:	PUNCT
ejpam-6749	160	14	ds	ds	ADJ
ejpam-6749	160	15	dt	dt	X
ejpam-6749	160	16	∣∣	∣∣	X
ejpam-6749	160	17	s=0	s=0	X
ejpam-6749	160	18	=	=	PUNCT
ejpam-6749	160	19	λ	λ	PROPN
ejpam-6749	160	20	+	+	NUM
ejpam-6749	160	21	ϕt	ϕt	INTJ
ejpam-6749	160	22	≥	≥	X
ejpam-6749	160	23	λ	λ	X
ejpam-6749	160	24	>	>	X
ejpam-6749	160	25	0	0	NUM
ejpam-6749	160	26	,	,	PUNCT
ejpam-6749	160	27	so	so	ADV
ejpam-6749	160	28	the	the	DET
ejpam-6749	160	29	vector	vector	NOUN
ejpam-6749	160	30	field	field	NOUN
ejpam-6749	160	31	points	point	VERB
ejpam-6749	160	32	inward	inward	ADV
ejpam-6749	160	33	(	(	PUNCT
ejpam-6749	160	34	perko	perko	X
ejpam-6749	161	1	[	[	X
ejpam-6749	161	2	6	6	NUM
ejpam-6749	161	3	]	]	PUNCT
ejpam-6749	161	4	)	)	PUNCT
ejpam-6749	161	5	.	.	PUNCT
ejpam-6749	162	1	if	if	SCONJ
ejpam-6749	162	2	s(0	s(0	PROPN
ejpam-6749	162	3	)	)	PUNCT
ejpam-6749	162	4	>	>	SYM
ejpam-6749	162	5	0	0	NUM
ejpam-6749	162	6	and	and	CCONJ
ejpam-6749	162	7	s(t∗	s(t∗	NOUN
ejpam-6749	162	8	)	)	PUNCT
ejpam-6749	162	9	=	=	SYM
ejpam-6749	162	10	0	0	PUNCT
ejpam-6749	162	11	for	for	ADP
ejpam-6749	162	12	finite	finite	ADJ
ejpam-6749	162	13	t∗	t∗	PROPN
ejpam-6749	162	14	>	>	X
ejpam-6749	162	15	0	0	NUM
ejpam-6749	162	16	,	,	PUNCT
ejpam-6749	162	17	then	then	ADV
ejpam-6749	162	18	by	by	ADP
ejpam-6749	162	19	the	the	DET
ejpam-6749	162	20	fundamental	fundamental	ADJ
ejpam-6749	162	21	theorem	theorem	NOUN
ejpam-6749	162	22	of	of	ADP
ejpam-6749	162	23	calculus	calculus	NOUN
ejpam-6749	162	24	(	(	PUNCT
ejpam-6749	162	25	rudin	rudin	X
ejpam-6749	162	26	[	[	X
ejpam-6749	162	27	12	12	NUM
ejpam-6749	162	28	]	]	PUNCT
ejpam-6749	162	29	)	)	PUNCT
ejpam-6749	162	30	,	,	PUNCT
ejpam-6749	162	31	∫	∫	PROPN
ejpam-6749	162	32	t∗	t∗	NOUN
ejpam-6749	162	33	0	0	NUM
ejpam-6749	162	34	ds	ds	ADJ
ejpam-6749	162	35	dt	dt	X
ejpam-6749	162	36	(	(	PUNCT
ejpam-6749	162	37	τ)dτ	τ)dτ	PROPN
ejpam-6749	162	38	=	=	SYM
ejpam-6749	162	39	−s(0	−s(0	NOUN
ejpam-6749	162	40	)	)	PUNCT
ejpam-6749	162	41	<	<	X
ejpam-6749	162	42	0	0	X
ejpam-6749	162	43	.	.	PUNCT
ejpam-6749	163	1	however	however	ADV
ejpam-6749	163	2	,	,	PUNCT
ejpam-6749	163	3	as	as	ADP
ejpam-6749	163	4	s(τ	s(τ	PROPN
ejpam-6749	163	5	)	)	PUNCT
ejpam-6749	163	6	→	→	SYM
ejpam-6749	163	7	0	0	NUM
ejpam-6749	163	8	+	+	NUM
ejpam-6749	163	9	,	,	PUNCT
ejpam-6749	163	10	we	we	PRON
ejpam-6749	163	11	have	have	VERB
ejpam-6749	163	12	ds	ds	PRON
ejpam-6749	163	13	dt	dt	X
ejpam-6749	163	14	(	(	PUNCT
ejpam-6749	163	15	τ	τ	X
ejpam-6749	163	16	)	)	PUNCT
ejpam-6749	163	17	→	→	SYM
ejpam-6749	163	18	λ	λ	X
ejpam-6749	164	1	+	+	CCONJ
ejpam-6749	164	2	ϕt	ϕt	INTJ
ejpam-6749	164	3	(	(	PUNCT
ejpam-6749	164	4	t∗	t∗	PROPN
ejpam-6749	164	5	)	)	PUNCT
ejpam-6749	164	6	≥	≥	NOUN
ejpam-6749	164	7	λ	λ	X
ejpam-6749	164	8	>	>	X
ejpam-6749	164	9	0	0	NUM
ejpam-6749	164	10	,	,	PUNCT
ejpam-6749	164	11	making	make	VERB
ejpam-6749	164	12	the	the	DET
ejpam-6749	164	13	negative	negative	ADJ
ejpam-6749	164	14	integral	integral	ADJ
ejpam-6749	164	15	impossible	impossible	ADJ
ejpam-6749	164	16	.	.	PUNCT
ejpam-6749	165	1	at	at	ADP
ejpam-6749	165	2	{	{	PUNCT
ejpam-6749	165	3	t	t	NOUN
ejpam-6749	165	4	=	=	SYM
ejpam-6749	165	5	0	0	NUM
ejpam-6749	165	6	}	}	PUNCT
ejpam-6749	165	7	∩	∩	ADJ
ejpam-6749	165	8	ω	ω	NOUN
ejpam-6749	165	9	:	:	PUNCT
ejpam-6749	165	10	dt	dt	X
ejpam-6749	165	11	dt	dt	X
ejpam-6749	165	12	∣∣	∣∣	X
ejpam-6749	165	13	t=0	t=0	X
ejpam-6749	165	14	=	=	SYM
ejpam-6749	165	15	0	0	NUM
ejpam-6749	165	16	,	,	PUNCT
ejpam-6749	165	17	so	so	SCONJ
ejpam-6749	165	18	this	this	DET
ejpam-6749	165	19	boundary	boundary	NOUN
ejpam-6749	165	20	is	be	AUX
ejpam-6749	165	21	invariant	invariant	ADJ
ejpam-6749	165	22	by	by	ADP
ejpam-6749	165	23	uniqueness	uniqueness	NOUN
ejpam-6749	165	24	of	of	ADP
ejpam-6749	165	25	solutions	solution	NOUN
ejpam-6749	165	26	(	(	PUNCT
ejpam-6749	165	27	coddington	coddington	NOUN
ejpam-6749	165	28	and	and	CCONJ
ejpam-6749	165	29	levinson	levinson	PROPN
ejpam-6749	166	1	[	[	X
ejpam-6749	166	2	61	61	NUM
ejpam-6749	166	3	]	]	PUNCT
ejpam-6749	166	4	)	)	PUNCT
ejpam-6749	166	5	.	.	PUNCT
ejpam-6749	167	1	for	for	ADP
ejpam-6749	167	2	t	t	PROPN
ejpam-6749	167	3	(	(	PUNCT
ejpam-6749	167	4	0	0	NUM
ejpam-6749	167	5	)	)	PUNCT
ejpam-6749	167	6	>	>	X
ejpam-6749	168	1	0	0	NUM
ejpam-6749	168	2	,	,	PUNCT
ejpam-6749	168	3	if	if	SCONJ
ejpam-6749	168	4	t	t	PROPN
ejpam-6749	168	5	(	(	PUNCT
ejpam-6749	168	6	t∗	t∗	PROPN
ejpam-6749	168	7	)	)	PUNCT
ejpam-6749	168	8	=	=	SYM
ejpam-6749	168	9	0	0	NUM
ejpam-6749	168	10	,	,	PUNCT
ejpam-6749	168	11	then	then	ADV
ejpam-6749	168	12	∫	∫	PROPN
ejpam-6749	168	13	t∗	t∗	PROPN
ejpam-6749	168	14	0	0	PROPN
ejpam-6749	168	15	t	t	PROPN
ejpam-6749	168	16	(	(	PUNCT
ejpam-6749	168	17	τ)[βs(τ)−(ϕ+δ+	τ)[βs(τ)−(ϕ+δ+	X
ejpam-6749	168	18	µ)]dτ	µ)]dτ	NUM
ejpam-6749	168	19	=	=	SYM
ejpam-6749	168	20	−t	−t	PROPN
ejpam-6749	168	21	(	(	PUNCT
ejpam-6749	168	22	0	0	NUM
ejpam-6749	168	23	)	)	PUNCT
ejpam-6749	168	24	<	<	X
ejpam-6749	168	25	0	0	X
ejpam-6749	168	26	.	.	PUNCT
ejpam-6749	169	1	but	but	CCONJ
ejpam-6749	169	2	as	as	ADP
ejpam-6749	169	3	t	t	PROPN
ejpam-6749	169	4	(	(	PUNCT
ejpam-6749	169	5	τ	τ	PROPN
ejpam-6749	169	6	)	)	PUNCT
ejpam-6749	169	7	→	→	SYM
ejpam-6749	169	8	0	0	NUM
ejpam-6749	169	9	+	+	PROPN
ejpam-6749	169	10	,	,	PUNCT
ejpam-6749	169	11	the	the	DET
ejpam-6749	169	12	integrand	integrand	NOUN
ejpam-6749	169	13	vanishes	vanish	VERB
ejpam-6749	169	14	,	,	PUNCT
ejpam-6749	169	15	preventing	prevent	VERB
ejpam-6749	169	16	the	the	DET
ejpam-6749	169	17	required	require	VERB
ejpam-6749	169	18	negative	negative	ADJ
ejpam-6749	169	19	accumulation	accumulation	NOUN
ejpam-6749	169	20	.	.	PUNCT
ejpam-6749	170	1	at	at	ADP
ejpam-6749	170	2	{	{	PUNCT
ejpam-6749	170	3	q	q	NOUN
ejpam-6749	170	4	=	=	NOUN
ejpam-6749	170	5	0}∩ω	0}∩ω	NOUN
ejpam-6749	170	6	:	:	PUNCT
ejpam-6749	170	7	dq	dq	NOUN
ejpam-6749	170	8	dt	dt	X
ejpam-6749	170	9	∣∣	∣∣	PUNCT
ejpam-6749	170	10	q=0	q=0	NOUN
ejpam-6749	170	11	=	=	PUNCT
ejpam-6749	170	12	γs	γs	X
ejpam-6749	170	13	>	>	X
ejpam-6749	170	14	0	0	PUNCT
ejpam-6749	171	1	for	for	ADP
ejpam-6749	171	2	t	t	PROPN
ejpam-6749	171	3	>	>	X
ejpam-6749	171	4	0	0	PUNCT
ejpam-6749	172	1	(	(	PUNCT
ejpam-6749	172	2	since	since	SCONJ
ejpam-6749	172	3	s(t	s(t	PROPN
ejpam-6749	172	4	)	)	PUNCT
ejpam-6749	172	5	>	>	X
ejpam-6749	172	6	0	0	PUNCT
ejpam-6749	172	7	from	from	ADP
ejpam-6749	172	8	above	above	ADV
ejpam-6749	172	9	)	)	PUNCT
ejpam-6749	172	10	,	,	PUNCT
ejpam-6749	172	11	so	so	CCONJ
ejpam-6749	172	12	the	the	DET
ejpam-6749	172	13	vector	vector	NOUN
ejpam-6749	172	14	field	field	NOUN
ejpam-6749	172	15	points	point	VERB
ejpam-6749	172	16	inward	inward	ADV
ejpam-6749	172	17	.	.	PUNCT
ejpam-6749	173	1	similar	similar	ADJ
ejpam-6749	173	2	integral	integral	ADJ
ejpam-6749	173	3	arguments	argument	NOUN
ejpam-6749	173	4	prevent	prevent	VERB
ejpam-6749	173	5	finite	finite	ADJ
ejpam-6749	173	6	-	-	PUNCT
ejpam-6749	173	7	time	time	NOUN
ejpam-6749	173	8	approach	approach	NOUN
ejpam-6749	173	9	.	.	PUNCT
ejpam-6749	174	1	to	to	PART
ejpam-6749	174	2	establish	establish	VERB
ejpam-6749	174	3	boundedness	boundedness	NOUN
ejpam-6749	174	4	,	,	PUNCT
ejpam-6749	174	5	we	we	PRON
ejpam-6749	174	6	employ	employ	VERB
ejpam-6749	174	7	the	the	DET
ejpam-6749	174	8	comparison	comparison	NOUN
ejpam-6749	174	9	principle	principle	NOUN
ejpam-6749	174	10	developed	develop	VERB
ejpam-6749	174	11	by	by	ADP
ejpam-6749	174	12	lakshmikantham	lakshmikantham	NOUN
ejpam-6749	174	13	and	and	CCONJ
ejpam-6749	174	14	leela	leela	PROPN
ejpam-6749	175	1	[	[	X
ejpam-6749	175	2	35	35	NUM
ejpam-6749	175	3	]	]	PUNCT
ejpam-6749	175	4	.	.	PUNCT
ejpam-6749	176	1	consider	consider	VERB
ejpam-6749	176	2	the	the	DET
ejpam-6749	176	3	total	total	ADJ
ejpam-6749	176	4	population	population	NOUN
ejpam-6749	176	5	n(t	n(t	NOUN
ejpam-6749	176	6	)	)	PUNCT
ejpam-6749	177	1	=	=	SYM
ejpam-6749	177	2	s(t)+t	s(t)+t	NOUN
ejpam-6749	177	3	(	(	PUNCT
ejpam-6749	177	4	t)+q(t	t)+q(t	PROPN
ejpam-6749	177	5	)	)	PUNCT
ejpam-6749	177	6	which	which	PRON
ejpam-6749	177	7	satisfies	satisfy	VERB
ejpam-6749	177	8	:	:	PUNCT
ejpam-6749	177	9	dn	dn	NOUN
ejpam-6749	177	10	dt	dt	NOUN
ejpam-6749	178	1	=	=	PUNCT
ejpam-6749	178	2	λ−	λ−	PROPN
ejpam-6749	178	3	µn	µn	PROPN
ejpam-6749	178	4	−	−	PROPN
ejpam-6749	178	5	δt	δt	NOUN
ejpam-6749	178	6	−	−	PROPN
ejpam-6749	179	1	kst	kst	PROPN
ejpam-6749	179	2	≤	≤	ADV
ejpam-6749	179	3	λ−	λ−	PROPN
ejpam-6749	179	4	µn	µn	PROPN
ejpam-6749	179	5	this	this	DET
ejpam-6749	179	6	linear	linear	PROPN
ejpam-6749	179	7	differential	differential	NOUN
ejpam-6749	179	8	inequality	inequality	NOUN
ejpam-6749	179	9	can	can	AUX
ejpam-6749	179	10	be	be	AUX
ejpam-6749	179	11	solved	solve	VERB
ejpam-6749	179	12	explicitly	explicitly	ADV
ejpam-6749	179	13	using	use	VERB
ejpam-6749	179	14	integrating	integrate	VERB
ejpam-6749	179	15	factors	factor	NOUN
ejpam-6749	179	16	(	(	PUNCT
ejpam-6749	179	17	see	see	VERB
ejpam-6749	179	18	boyce	boyce	PROPN
ejpam-6749	179	19	and	and	CCONJ
ejpam-6749	179	20	diprima	diprima	PROPN
ejpam-6749	179	21	[	[	X
ejpam-6749	179	22	36	36	NUM
ejpam-6749	179	23	]	]	NUM
ejpam-6749	179	24	)	)	PUNCT
ejpam-6749	179	25	.	.	PUNCT
ejpam-6749	180	1	applying	apply	VERB
ejpam-6749	180	2	grönwall	grönwall	NOUN
ejpam-6749	180	3	’s	’s	PART
ejpam-6749	180	4	inequality	inequality	NOUN
ejpam-6749	180	5	as	as	SCONJ
ejpam-6749	180	6	formulated	formulate	VERB
ejpam-6749	180	7	by	by	ADP
ejpam-6749	180	8	walter	walter	NOUN
ejpam-6749	181	1	[	[	X
ejpam-6749	181	2	37	37	NUM
ejpam-6749	181	3	]	]	PUNCT
ejpam-6749	181	4	,	,	PUNCT
ejpam-6749	181	5	n(t	n(t	PROPN
ejpam-6749	181	6	)	)	PUNCT
ejpam-6749	181	7	≤	≤	NUM
ejpam-6749	181	8	n(0)e−µt	n(0)e−µt	VERB
ejpam-6749	182	1	+	+	X
ejpam-6749	182	2	λ	λ	X
ejpam-6749	182	3	µ	µ	X
ejpam-6749	182	4	(	(	PUNCT
ejpam-6749	182	5	1−	1−	NUM
ejpam-6749	182	6	e−µt	e−µt	PROPN
ejpam-6749	182	7	)	)	PUNCT
ejpam-6749	182	8	taking	take	VERB
ejpam-6749	182	9	t	t	NOUN
ejpam-6749	182	10	→	→	SYM
ejpam-6749	182	11	∞	∞	PROPN
ejpam-6749	182	12	using	use	VERB
ejpam-6749	182	13	the	the	DET
ejpam-6749	182	14	monotone	monotone	ADJ
ejpam-6749	182	15	convergence	convergence	NOUN
ejpam-6749	182	16	theorem	theorem	NOUN
ejpam-6749	182	17	(	(	PUNCT
ejpam-6749	182	18	see	see	VERB
ejpam-6749	182	19	rudin	rudin	PROPN
ejpam-6749	182	20	[	[	X
ejpam-6749	182	21	38	38	NUM
ejpam-6749	182	22	]	]	PUNCT
ejpam-6749	182	23	)	)	PUNCT
ejpam-6749	182	24	gives	give	VERB
ejpam-6749	182	25	lim	lim	PROPN
ejpam-6749	182	26	supt→∞n(t	supt→∞n(t	PROPN
ejpam-6749	182	27	)	)	PUNCT
ejpam-6749	182	28	≤	≤	NUM
ejpam-6749	182	29	λ	λ	PROPN
ejpam-6749	182	30	µ	µ	X
ejpam-6749	182	31	,	,	PUNCT
ejpam-6749	182	32	establishing	establish	VERB
ejpam-6749	182	33	ultimate	ultimate	ADJ
ejpam-6749	182	34	boundedness	boundedness	NOUN
ejpam-6749	182	35	.	.	PUNCT
ejpam-6749	183	1	3.2	3.2	NUM
ejpam-6749	183	2	.	.	PUNCT
ejpam-6749	183	3	global	global	ADJ
ejpam-6749	183	4	existence	existence	NOUN
ejpam-6749	183	5	and	and	CCONJ
ejpam-6749	183	6	uniqueness	uniqueness	NOUN
ejpam-6749	183	7	theorem	theorem	VERB
ejpam-6749	183	8	1	1	NUM
ejpam-6749	183	9	.	.	X
ejpam-6749	184	1	for	for	ADP
ejpam-6749	184	2	any	any	DET
ejpam-6749	184	3	initial	initial	ADJ
ejpam-6749	184	4	condition	condition	NOUN
ejpam-6749	184	5	(	(	PUNCT
ejpam-6749	184	6	s0	s0	PROPN
ejpam-6749	184	7	,	,	PUNCT
ejpam-6749	184	8	t0	t0	PROPN
ejpam-6749	184	9	,	,	PUNCT
ejpam-6749	184	10	q0	q0	PROPN
ejpam-6749	184	11	)	)	PUNCT
ejpam-6749	184	12	∈	∈	PROPN
ejpam-6749	184	13	ω	ω	PROPN
ejpam-6749	184	14	and	and	CCONJ
ejpam-6749	184	15	parameter	parameter	NOUN
ejpam-6749	184	16	vector	vector	NOUN
ejpam-6749	184	17	θ	θ	PROPN
ejpam-6749	184	18	∈	∈	PROPN
ejpam-6749	184	19	θ	θ	PROPN
ejpam-6749	184	20	,	,	PUNCT
ejpam-6749	184	21	system	system	NOUN
ejpam-6749	184	22	(	(	PUNCT
ejpam-6749	184	23	1	1	X
ejpam-6749	184	24	)	)	PUNCT
ejpam-6749	184	25	possesses	possess	VERB
ejpam-6749	184	26	a	a	DET
ejpam-6749	184	27	unique	unique	ADJ
ejpam-6749	184	28	global	global	ADJ
ejpam-6749	184	29	solution	solution	NOUN
ejpam-6749	184	30	(	(	PUNCT
ejpam-6749	184	31	s(t	s(t	PROPN
ejpam-6749	184	32	)	)	PUNCT
ejpam-6749	184	33	,	,	PUNCT
ejpam-6749	184	34	t	t	PROPN
ejpam-6749	184	35	(	(	PUNCT
ejpam-6749	184	36	t	t	PROPN
ejpam-6749	184	37	)	)	PUNCT
ejpam-6749	184	38	,	,	PUNCT
ejpam-6749	184	39	q(t	q(t	PROPN
ejpam-6749	184	40	)	)	PUNCT
ejpam-6749	184	41	)	)	PUNCT
ejpam-6749	184	42	that	that	PRON
ejpam-6749	184	43	exists	exist	VERB
ejpam-6749	184	44	for	for	ADP
ejpam-6749	184	45	all	all	DET
ejpam-6749	184	46	t	t	PROPN
ejpam-6749	184	47	≥	≥	NOUN
ejpam-6749	184	48	0	0	NUM
ejpam-6749	184	49	,	,	PUNCT
ejpam-6749	184	50	remains	remain	VERB
ejpam-6749	184	51	in	in	ADP
ejpam-6749	184	52	ω	ω	NUM
ejpam-6749	184	53	for	for	ADP
ejpam-6749	184	54	all	all	DET
ejpam-6749	184	55	time	time	NOUN
ejpam-6749	184	56	,	,	PUNCT
ejpam-6749	184	57	and	and	CCONJ
ejpam-6749	184	58	depends	depend	VERB
ejpam-6749	184	59	continuously	continuously	ADV
ejpam-6749	184	60	on	on	ADP
ejpam-6749	184	61	initial	initial	ADJ
ejpam-6749	184	62	conditions	condition	NOUN
ejpam-6749	184	63	.	.	PUNCT
ejpam-6749	185	1	proof	proof	NOUN
ejpam-6749	185	2	.	.	PUNCT
ejpam-6749	186	1	the	the	DET
ejpam-6749	186	2	proof	proof	NOUN
ejpam-6749	186	3	follows	follow	VERB
ejpam-6749	186	4	the	the	DET
ejpam-6749	186	5	standard	standard	ADJ
ejpam-6749	186	6	theory	theory	NOUN
ejpam-6749	186	7	for	for	ADP
ejpam-6749	186	8	ordinary	ordinary	ADJ
ejpam-6749	186	9	differential	differential	ADJ
ejpam-6749	186	10	equations	equation	NOUN
ejpam-6749	186	11	as	as	SCONJ
ejpam-6749	186	12	presented	present	VERB
ejpam-6749	186	13	comprehensively	comprehensively	ADV
ejpam-6749	186	14	by	by	ADP
ejpam-6749	186	15	perko	perko	PROPN
ejpam-6749	186	16	[	[	X
ejpam-6749	186	17	33	33	NUM
ejpam-6749	186	18	]	]	PUNCT
ejpam-6749	186	19	and	and	CCONJ
ejpam-6749	186	20	hartman	hartman	PROPN
ejpam-6749	187	1	[	[	X
ejpam-6749	187	2	39	39	NUM
ejpam-6749	187	3	]	]	PUNCT
ejpam-6749	187	4	,	,	PUNCT
ejpam-6749	187	5	adapted	adapt	VERB
ejpam-6749	187	6	to	to	ADP
ejpam-6749	187	7	our	our	PRON
ejpam-6749	187	8	specific	specific	ADJ
ejpam-6749	187	9	system	system	NOUN
ejpam-6749	187	10	structure	structure	NOUN
ejpam-6749	187	11	with	with	ADP
ejpam-6749	187	12	careful	careful	ADJ
ejpam-6749	187	13	attention	attention	NOUN
ejpam-6749	187	14	to	to	ADP
ejpam-6749	187	15	the	the	DET
ejpam-6749	187	16	nonlinear	nonlinear	ADJ
ejpam-6749	187	17	coupling	coupling	NOUN
ejpam-6749	187	18	terms	term	NOUN
ejpam-6749	187	19	.	.	PUNCT
ejpam-6749	188	1	we	we	PRON
ejpam-6749	188	2	begin	begin	VERB
ejpam-6749	188	3	by	by	ADP
ejpam-6749	188	4	establishing	establish	VERB
ejpam-6749	188	5	that	that	SCONJ
ejpam-6749	188	6	the	the	DET
ejpam-6749	188	7	vector	vector	NOUN
ejpam-6749	188	8	field	field	NOUN
ejpam-6749	188	9	f(x	f(x	PROPN
ejpam-6749	188	10	)	)	PUNCT
ejpam-6749	188	11	=	=	PRON
ejpam-6749	188	12	(	(	PUNCT
ejpam-6749	188	13	f1	f1	PROPN
ejpam-6749	188	14	,	,	PUNCT
ejpam-6749	188	15	f2	f2	PROPN
ejpam-6749	188	16	,	,	PUNCT
ejpam-6749	188	17	f3	f3	PROPN
ejpam-6749	188	18	)	)	PUNCT
ejpam-6749	188	19	t	t	NOUN
ejpam-6749	188	20	where	where	SCONJ
ejpam-6749	188	21	x	x	X
ejpam-6749	188	22	=	=	PRON
ejpam-6749	188	23	(	(	PUNCT
ejpam-6749	188	24	s	s	PROPN
ejpam-6749	188	25	,	,	PUNCT
ejpam-6749	188	26	t	t	PROPN
ejpam-6749	188	27	,	,	PUNCT
ejpam-6749	188	28	q)t	q)t	ADJ
ejpam-6749	188	29	possesses	possess	VERB
ejpam-6749	188	30	sufficient	sufficient	ADJ
ejpam-6749	188	31	regularity	regularity	NOUN
ejpam-6749	188	32	for	for	ADP
ejpam-6749	188	33	the	the	DET
ejpam-6749	188	34	application	application	NOUN
ejpam-6749	188	35	of	of	ADP
ejpam-6749	188	36	existence	existence	NOUN
ejpam-6749	188	37	and	and	CCONJ
ejpam-6749	188	38	uniqueness	uniqueness	NOUN
ejpam-6749	188	39	theorems	theorem	NOUN
ejpam-6749	188	40	.	.	PUNCT
ejpam-6749	189	1	the	the	DET
ejpam-6749	189	2	component	component	NOUN
ejpam-6749	189	3	functions	function	NOUN
ejpam-6749	189	4	are	be	AUX
ejpam-6749	189	5	explicitly	explicitly	ADV
ejpam-6749	189	6	given	give	VERB
ejpam-6749	189	7	by	by	ADP
ejpam-6749	189	8	f1(s	f1(s	PROPN
ejpam-6749	189	9	,	,	PUNCT
ejpam-6749	189	10	t	t	PROPN
ejpam-6749	189	11	,	,	PUNCT
ejpam-6749	189	12	q	q	NOUN
ejpam-6749	189	13	)	)	PUNCT
ejpam-6749	189	14	=	=	SYM
ejpam-6749	189	15	λ−	λ−	PROPN
ejpam-6749	189	16	(	(	PUNCT
ejpam-6749	189	17	µ+	µ+	X
ejpam-6749	189	18	γ)s	γ)s	PUNCT
ejpam-6749	189	19	−	−	PROPN
ejpam-6749	189	20	(	(	PUNCT
ejpam-6749	189	21	β	β	X
ejpam-6749	189	22	+	+	X
ejpam-6749	189	23	k)st	k)st	PROPN
ejpam-6749	189	24	+	+	CCONJ
ejpam-6749	189	25	φt	φt	NOUN
ejpam-6749	189	26	,	,	PUNCT
ejpam-6749	189	27	(	(	PUNCT
ejpam-6749	189	28	2	2	X
ejpam-6749	189	29	)	)	PUNCT
ejpam-6749	189	30	m.	m.	NOUN
ejpam-6749	189	31	zorom	zorom	NOUN
ejpam-6749	189	32	et	et	PROPN
ejpam-6749	189	33	al	al	PROPN
ejpam-6749	189	34	.	.	PUNCT
ejpam-6749	189	35	/	/	SYM
ejpam-6749	189	36	eur	eur	PROPN
ejpam-6749	189	37	.	.	PUNCT
ejpam-6749	190	1	j.	j.	PROPN
ejpam-6749	190	2	pure	pure	PROPN
ejpam-6749	190	3	appl	appl	PROPN
ejpam-6749	190	4	.	.	PROPN
ejpam-6749	190	5	math	math	PROPN
ejpam-6749	190	6	,	,	PUNCT
ejpam-6749	190	7	18	18	NUM
ejpam-6749	190	8	(	(	PUNCT
ejpam-6749	190	9	4	4	NUM
ejpam-6749	190	10	)	)	PUNCT
ejpam-6749	190	11	(	(	PUNCT
ejpam-6749	190	12	2025	2025	NUM
ejpam-6749	190	13	)	)	PUNCT
ejpam-6749	190	14	,	,	PUNCT
ejpam-6749	190	15	6749	6749	NUM
ejpam-6749	190	16	9	9	NUM
ejpam-6749	190	17	of	of	ADP
ejpam-6749	190	18	47	47	NUM
ejpam-6749	190	19	f2(s	f2(s	PROPN
ejpam-6749	190	20	,	,	PUNCT
ejpam-6749	190	21	t	t	PROPN
ejpam-6749	190	22	,	,	PUNCT
ejpam-6749	190	23	q	q	NOUN
ejpam-6749	190	24	)	)	PUNCT
ejpam-6749	190	25	=	=	SYM
ejpam-6749	190	26	βst	βst	PROPN
ejpam-6749	190	27	−	−	PROPN
ejpam-6749	190	28	(	(	PUNCT
ejpam-6749	190	29	φ+	φ+	X
ejpam-6749	190	30	δ	δ	X
ejpam-6749	190	31	+	+	CCONJ
ejpam-6749	190	32	µ)t	µ)t	ADV
ejpam-6749	190	33	,	,	PUNCT
ejpam-6749	190	34	(	(	PUNCT
ejpam-6749	190	35	3	3	X
ejpam-6749	190	36	)	)	PUNCT
ejpam-6749	190	37	f3(s	f3(s	PROPN
ejpam-6749	190	38	,	,	PUNCT
ejpam-6749	190	39	t	t	PROPN
ejpam-6749	190	40	,	,	PUNCT
ejpam-6749	190	41	q	q	NOUN
ejpam-6749	190	42	)	)	PUNCT
ejpam-6749	190	43	=	=	PUNCT
ejpam-6749	190	44	γs	γs	X
ejpam-6749	190	45	−	−	PROPN
ejpam-6749	190	46	µq	µq	PROPN
ejpam-6749	190	47	.	.	PUNCT
ejpam-6749	191	1	(	(	PUNCT
ejpam-6749	191	2	4	4	X
ejpam-6749	191	3	)	)	PUNCT
ejpam-6749	191	4	each	each	DET
ejpam-6749	191	5	component	component	NOUN
ejpam-6749	191	6	is	be	AUX
ejpam-6749	191	7	a	a	DET
ejpam-6749	191	8	polynomial	polynomial	ADJ
ejpam-6749	191	9	function	function	NOUN
ejpam-6749	191	10	in	in	ADP
ejpam-6749	191	11	the	the	DET
ejpam-6749	191	12	variables	variable	NOUN
ejpam-6749	191	13	(	(	PUNCT
ejpam-6749	191	14	s	s	PROPN
ejpam-6749	191	15	,	,	PUNCT
ejpam-6749	191	16	t	t	PROPN
ejpam-6749	191	17	,	,	PUNCT
ejpam-6749	191	18	q	q	NOUN
ejpam-6749	191	19	)	)	PUNCT
ejpam-6749	191	20	with	with	ADP
ejpam-6749	191	21	coefficients	coefficient	NOUN
ejpam-6749	191	22	determined	determine	VERB
ejpam-6749	191	23	by	by	ADP
ejpam-6749	191	24	the	the	DET
ejpam-6749	191	25	positive	positive	ADJ
ejpam-6749	191	26	parameters	parameter	NOUN
ejpam-6749	191	27	.	.	PUNCT
ejpam-6749	192	1	therefore	therefore	ADV
ejpam-6749	192	2	,	,	PUNCT
ejpam-6749	192	3	f	f	PROPN
ejpam-6749	192	4	∈	∈	PROPN
ejpam-6749	192	5	c∞(r3	c∞(r3	PROPN
ejpam-6749	192	6	)	)	PUNCT
ejpam-6749	192	7	by	by	ADP
ejpam-6749	192	8	the	the	DET
ejpam-6749	192	9	fundamental	fundamental	ADJ
ejpam-6749	192	10	properties	property	NOUN
ejpam-6749	192	11	of	of	ADP
ejpam-6749	192	12	polynomial	polynomial	ADJ
ejpam-6749	192	13	functions	function	NOUN
ejpam-6749	192	14	(	(	PUNCT
ejpam-6749	192	15	see	see	VERB
ejpam-6749	192	16	lang	lang	PROPN
ejpam-6749	193	1	[	[	X
ejpam-6749	193	2	40	40	NUM
ejpam-6749	193	3	]	]	PUNCT
ejpam-6749	193	4	)	)	PUNCT
ejpam-6749	193	5	.	.	PUNCT
ejpam-6749	194	1	this	this	DET
ejpam-6749	194	2	infinite	infinite	ADJ
ejpam-6749	194	3	differentiability	differentiability	NOUN
ejpam-6749	194	4	is	be	AUX
ejpam-6749	194	5	more	more	ADJ
ejpam-6749	194	6	than	than	ADP
ejpam-6749	194	7	sufficient	sufficient	ADJ
ejpam-6749	194	8	for	for	ADP
ejpam-6749	194	9	the	the	DET
ejpam-6749	194	10	application	application	NOUN
ejpam-6749	194	11	of	of	ADP
ejpam-6749	194	12	classical	classical	ADJ
ejpam-6749	194	13	existence	existence	NOUN
ejpam-6749	194	14	and	and	CCONJ
ejpam-6749	194	15	uniqueness	uniqueness	NOUN
ejpam-6749	194	16	theorems	theorem	NOUN
ejpam-6749	194	17	.	.	PUNCT
ejpam-6749	195	1	the	the	DET
ejpam-6749	195	2	jacobian	jacobian	ADJ
ejpam-6749	195	3	matrix	matrix	NOUN
ejpam-6749	195	4	is	be	AUX
ejpam-6749	195	5	computed	compute	VERB
ejpam-6749	195	6	as	as	ADP
ejpam-6749	195	7	j(x	j(x	NOUN
ejpam-6749	195	8	)	)	PUNCT
ejpam-6749	195	9	=	=	SYM
ejpam-6749	195	10			VERB
ejpam-6749	195	11			NOUN
ejpam-6749	195	12	−(µ+	−(µ+	PROPN
ejpam-6749	195	13	γ)−	γ)−	PROPN
ejpam-6749	195	14	(	(	PUNCT
ejpam-6749	195	15	β	β	X
ejpam-6749	195	16	+	+	CCONJ
ejpam-6749	195	17	k)t	k)t	X
ejpam-6749	195	18	−(β	−(β	X
ejpam-6749	196	1	+	+	CCONJ
ejpam-6749	196	2	k)s	k)s	X
ejpam-6749	197	1	+	+	CCONJ
ejpam-6749	197	2	φ	φ	PROPN
ejpam-6749	197	3	0	0	NUM
ejpam-6749	197	4	βt	βt	NOUN
ejpam-6749	197	5	βs	βs	NOUN
ejpam-6749	198	1	−	−	PROPN
ejpam-6749	198	2	(	(	PUNCT
ejpam-6749	198	3	φ+	φ+	X
ejpam-6749	198	4	δ	δ	PROPN
ejpam-6749	198	5	+	+	X
ejpam-6749	198	6	µ	µ	X
ejpam-6749	198	7	)	)	PUNCT
ejpam-6749	198	8	0	0	NUM
ejpam-6749	198	9	γ	γ	PROPN
ejpam-6749	198	10	0	0	PROPN
ejpam-6749	198	11	−µ	−µ	ADJ
ejpam-6749	198	12			PROPN
ejpam-6749	198	13			PUNCT
ejpam-6749	199	1	and	and	CCONJ
ejpam-6749	199	2	exists	exist	VERB
ejpam-6749	199	3	with	with	ADP
ejpam-6749	199	4	all	all	DET
ejpam-6749	199	5	entries	entry	NOUN
ejpam-6749	199	6	continuous	continuous	ADJ
ejpam-6749	199	7	throughout	throughout	ADP
ejpam-6749	199	8	r3	r3	PROPN
ejpam-6749	199	9	.	.	PUNCT
ejpam-6749	200	1	the	the	DET
ejpam-6749	200	2	continuity	continuity	NOUN
ejpam-6749	200	3	follows	follow	VERB
ejpam-6749	200	4	from	from	ADP
ejpam-6749	200	5	the	the	DET
ejpam-6749	200	6	polynomial	polynomial	ADJ
ejpam-6749	200	7	nature	nature	NOUN
ejpam-6749	200	8	of	of	ADP
ejpam-6749	200	9	each	each	DET
ejpam-6749	200	10	entry	entry	NOUN
ejpam-6749	200	11	and	and	CCONJ
ejpam-6749	200	12	the	the	DET
ejpam-6749	200	13	fact	fact	NOUN
ejpam-6749	200	14	that	that	SCONJ
ejpam-6749	200	15	all	all	DET
ejpam-6749	200	16	parameters	parameter	NOUN
ejpam-6749	200	17	are	be	AUX
ejpam-6749	200	18	positive	positive	ADJ
ejpam-6749	200	19	constants	constant	NOUN
ejpam-6749	200	20	.	.	PUNCT
ejpam-6749	201	1	for	for	ADP
ejpam-6749	201	2	local	local	ADJ
ejpam-6749	201	3	existence	existence	NOUN
ejpam-6749	201	4	and	and	CCONJ
ejpam-6749	201	5	uniqueness	uniqueness	NOUN
ejpam-6749	201	6	,	,	PUNCT
ejpam-6749	201	7	we	we	PRON
ejpam-6749	201	8	apply	apply	VERB
ejpam-6749	201	9	the	the	DET
ejpam-6749	201	10	picard	picard	NOUN
ejpam-6749	201	11	-	-	PUNCT
ejpam-6749	201	12	lindelöf	lindelöf	NOUN
ejpam-6749	201	13	theorem	theorem	VERB
ejpam-6749	201	14	as	as	SCONJ
ejpam-6749	201	15	formulated	formulate	VERB
ejpam-6749	201	16	by	by	ADP
ejpam-6749	201	17	coddington	coddington	PROPN
ejpam-6749	201	18	and	and	CCONJ
ejpam-6749	201	19	levinson	levinson	PROPN
ejpam-6749	202	1	[	[	X
ejpam-6749	202	2	41	41	NUM
ejpam-6749	202	3	]	]	PUNCT
ejpam-6749	202	4	.	.	PUNCT
ejpam-6749	203	1	given	give	VERB
ejpam-6749	203	2	any	any	DET
ejpam-6749	203	3	compact	compact	ADJ
ejpam-6749	203	4	subset	subset	NOUN
ejpam-6749	203	5	k	k	PROPN
ejpam-6749	203	6	⊂	⊂	PROPN
ejpam-6749	203	7	r3	r3	PROPN
ejpam-6749	203	8	containing	contain	VERB
ejpam-6749	203	9	our	our	PRON
ejpam-6749	203	10	initial	initial	ADJ
ejpam-6749	203	11	condition	condition	NOUN
ejpam-6749	203	12	,	,	PUNCT
ejpam-6749	203	13	we	we	PRON
ejpam-6749	203	14	establish	establish	VERB
ejpam-6749	203	15	the	the	DET
ejpam-6749	203	16	lipschitz	lipschitz	NOUN
ejpam-6749	203	17	condition	condition	NOUN
ejpam-6749	203	18	required	require	VERB
ejpam-6749	203	19	by	by	ADP
ejpam-6749	203	20	the	the	DET
ejpam-6749	203	21	theorem	theorem	NOUN
ejpam-6749	203	22	.	.	PROPN
ejpam-6749	204	1	for	for	ADP
ejpam-6749	204	2	any	any	DET
ejpam-6749	204	3	x	x	NOUN
ejpam-6749	204	4	,	,	PUNCT
ejpam-6749	204	5	y	y	PROPN
ejpam-6749	204	6	∈	∈	PROPN
ejpam-6749	204	7	k	k	NOUN
ejpam-6749	204	8	,	,	PUNCT
ejpam-6749	204	9	the	the	DET
ejpam-6749	204	10	mean	mean	ADJ
ejpam-6749	204	11	value	value	NOUN
ejpam-6749	204	12	theorem	theorem	VERB
ejpam-6749	204	13	from	from	ADP
ejpam-6749	204	14	multivariable	multivariable	ADJ
ejpam-6749	204	15	calculus	calculus	NOUN
ejpam-6749	204	16	(	(	PUNCT
ejpam-6749	204	17	see	see	VERB
ejpam-6749	204	18	rudin	rudin	PROPN
ejpam-6749	204	19	[	[	X
ejpam-6749	204	20	38	38	NUM
ejpam-6749	204	21	]	]	PUNCT
ejpam-6749	204	22	)	)	PUNCT
ejpam-6749	204	23	guarantees	guarantee	VERB
ejpam-6749	204	24	the	the	DET
ejpam-6749	204	25	existence	existence	NOUN
ejpam-6749	204	26	of	of	ADP
ejpam-6749	204	27	a	a	DET
ejpam-6749	204	28	point	point	NOUN
ejpam-6749	204	29	ξ	ξ	X
ejpam-6749	204	30	on	on	ADP
ejpam-6749	204	31	the	the	DET
ejpam-6749	204	32	line	line	NOUN
ejpam-6749	204	33	segment	segment	NOUN
ejpam-6749	204	34	connecting	connect	VERB
ejpam-6749	204	35	x	x	PUNCT
ejpam-6749	204	36	and	and	CCONJ
ejpam-6749	204	37	y	y	PROPN
ejpam-6749	204	38	such	such	ADJ
ejpam-6749	204	39	that	that	SCONJ
ejpam-6749	204	40	f(x)−	f(x)−	PROPN
ejpam-6749	204	41	f(y	f(y	PROPN
ejpam-6749	204	42	)	)	PUNCT
ejpam-6749	204	43	=	=	SYM
ejpam-6749	204	44	j(ξ)(x−	j(ξ)(x−	PROPN
ejpam-6749	204	45	y	y	PROPN
ejpam-6749	204	46	)	)	PUNCT
ejpam-6749	204	47	.	.	PUNCT
ejpam-6749	205	1	since	since	SCONJ
ejpam-6749	205	2	j	j	PROPN
ejpam-6749	205	3	is	be	AUX
ejpam-6749	205	4	continuous	continuous	ADJ
ejpam-6749	205	5	and	and	CCONJ
ejpam-6749	205	6	k	k	PROPN
ejpam-6749	205	7	is	be	AUX
ejpam-6749	205	8	compact	compact	ADJ
ejpam-6749	205	9	,	,	PUNCT
ejpam-6749	205	10	the	the	DET
ejpam-6749	205	11	extreme	extreme	ADJ
ejpam-6749	205	12	value	value	NOUN
ejpam-6749	205	13	theorem	theorem	NOUN
ejpam-6749	205	14	(	(	PUNCT
ejpam-6749	205	15	see	see	VERB
ejpam-6749	205	16	rudin	rudin	PROPN
ejpam-6749	205	17	[	[	X
ejpam-6749	205	18	38	38	NUM
ejpam-6749	205	19	]	]	PUNCT
ejpam-6749	205	20	)	)	PUNCT
ejpam-6749	205	21	ensures	ensure	VERB
ejpam-6749	205	22	the	the	DET
ejpam-6749	205	23	existence	existence	NOUN
ejpam-6749	205	24	of	of	ADP
ejpam-6749	205	25	a	a	DET
ejpam-6749	205	26	constant	constant	ADJ
ejpam-6749	205	27	lk	lk	NOUN
ejpam-6749	205	28	>	>	X
ejpam-6749	205	29	0	0	NUM
ejpam-6749	206	1	such	such	ADJ
ejpam-6749	206	2	that	that	SCONJ
ejpam-6749	206	3	∥j(ξ)∥	∥j(ξ)∥	VERB
ejpam-6749	206	4	≤	≤	X
ejpam-6749	206	5	lk	lk	NOUN
ejpam-6749	206	6	for	for	ADP
ejpam-6749	206	7	all	all	DET
ejpam-6749	206	8	ξ	ξ	PROPN
ejpam-6749	206	9	∈	∈	PROPN
ejpam-6749	206	10	k.	k.	NOUN
ejpam-6749	207	1	here	here	ADV
ejpam-6749	207	2	we	we	PRON
ejpam-6749	207	3	use	use	VERB
ejpam-6749	207	4	the	the	DET
ejpam-6749	207	5	operator	operator	NOUN
ejpam-6749	207	6	norm	norm	NOUN
ejpam-6749	207	7	induced	induce	VERB
ejpam-6749	207	8	by	by	ADP
ejpam-6749	207	9	the	the	DET
ejpam-6749	207	10	euclidean	euclidean	ADJ
ejpam-6749	207	11	norm	norm	NOUN
ejpam-6749	207	12	on	on	ADP
ejpam-6749	207	13	r3	r3	PROPN
ejpam-6749	207	14	.	.	PUNCT
ejpam-6749	208	1	this	this	PRON
ejpam-6749	208	2	establishes	establish	VERB
ejpam-6749	208	3	the	the	DET
ejpam-6749	208	4	lipschitz	lipschitz	NOUN
ejpam-6749	208	5	condition	condition	NOUN
ejpam-6749	208	6	∥f(x)−	∥f(x)−	PROPN
ejpam-6749	208	7	f(y)∥	f(y)∥	NOUN
ejpam-6749	208	8	≤	≤	ADJ
ejpam-6749	208	9	lk∥x−	lk∥x−	PROPN
ejpam-6749	208	10	y∥	y∥	NOUN
ejpam-6749	208	11	required	require	VERB
ejpam-6749	208	12	for	for	ADP
ejpam-6749	208	13	local	local	ADJ
ejpam-6749	208	14	existence	existence	NOUN
ejpam-6749	208	15	and	and	CCONJ
ejpam-6749	208	16	uniqueness	uniqueness	NOUN
ejpam-6749	208	17	.	.	PUNCT
ejpam-6749	209	1	the	the	DET
ejpam-6749	209	2	picard	picard	NOUN
ejpam-6749	209	3	-	-	PUNCT
ejpam-6749	209	4	lindelöf	lindelöf	NOUN
ejpam-6749	209	5	theorem	theorem	NOUN
ejpam-6749	209	6	then	then	ADV
ejpam-6749	209	7	guarantees	guarantee	VERB
ejpam-6749	209	8	the	the	DET
ejpam-6749	209	9	existence	existence	NOUN
ejpam-6749	209	10	of	of	ADP
ejpam-6749	209	11	τ	τ	PROPN
ejpam-6749	209	12	>	>	PUNCT
ejpam-6749	209	13	0	0	PUNCT
ejpam-6749	209	14	and	and	CCONJ
ejpam-6749	209	15	a	a	DET
ejpam-6749	209	16	unique	unique	ADJ
ejpam-6749	209	17	local	local	ADJ
ejpam-6749	209	18	solution	solution	NOUN
ejpam-6749	209	19	(	(	PUNCT
ejpam-6749	209	20	s(t	s(t	PROPN
ejpam-6749	209	21	)	)	PUNCT
ejpam-6749	209	22	,	,	PUNCT
ejpam-6749	209	23	t	t	PROPN
ejpam-6749	209	24	(	(	PUNCT
ejpam-6749	209	25	t	t	PROPN
ejpam-6749	209	26	)	)	PUNCT
ejpam-6749	209	27	,	,	PUNCT
ejpam-6749	209	28	q(t	q(t	NOUN
ejpam-6749	209	29	)	)	PUNCT
ejpam-6749	209	30	)	)	PUNCT
ejpam-6749	209	31	on	on	ADP
ejpam-6749	209	32	the	the	DET
ejpam-6749	209	33	interval	interval	NOUN
ejpam-6749	209	34	[	[	X
ejpam-6749	209	35	0	0	NUM
ejpam-6749	209	36	,	,	PUNCT
ejpam-6749	209	37	τ	τ	X
ejpam-6749	209	38	]	]	PUNCT
ejpam-6749	209	39	satisfying	satisfy	VERB
ejpam-6749	209	40	the	the	DET
ejpam-6749	209	41	initial	initial	ADJ
ejpam-6749	209	42	value	value	NOUN
ejpam-6749	209	43	problem	problem	NOUN
ejpam-6749	209	44	.	.	PUNCT
ejpam-6749	210	1	the	the	DET
ejpam-6749	210	2	solution	solution	NOUN
ejpam-6749	210	3	is	be	AUX
ejpam-6749	210	4	given	give	VERB
ejpam-6749	210	5	by	by	ADP
ejpam-6749	210	6	the	the	DET
ejpam-6749	210	7	convergent	convergent	NOUN
ejpam-6749	210	8	picard	picard	PROPN
ejpam-6749	210	9	iteration	iteration	NOUN
ejpam-6749	210	10	scheme	scheme	NOUN
ejpam-6749	210	11	,	,	PUNCT
ejpam-6749	210	12	ensuring	ensure	VERB
ejpam-6749	210	13	both	both	DET
ejpam-6749	210	14	existence	existence	NOUN
ejpam-6749	210	15	and	and	CCONJ
ejpam-6749	210	16	uniqueness	uniqueness	NOUN
ejpam-6749	210	17	in	in	ADP
ejpam-6749	210	18	the	the	DET
ejpam-6749	210	19	local	local	ADJ
ejpam-6749	210	20	sense	sense	NOUN
ejpam-6749	210	21	.	.	PUNCT
ejpam-6749	211	1	for	for	ADP
ejpam-6749	211	2	global	global	ADJ
ejpam-6749	211	3	extension	extension	NOUN
ejpam-6749	211	4	,	,	PUNCT
ejpam-6749	211	5	we	we	PRON
ejpam-6749	211	6	utilize	utilize	VERB
ejpam-6749	211	7	the	the	DET
ejpam-6749	211	8	boundedness	boundedness	NOUN
ejpam-6749	211	9	established	establish	VERB
ejpam-6749	211	10	in	in	ADP
ejpam-6749	211	11	1	1	NUM
ejpam-6749	211	12	.	.	PUNCT
ejpam-6749	212	1	the	the	DET
ejpam-6749	212	2	key	key	ADJ
ejpam-6749	212	3	insight	insight	NOUN
ejpam-6749	212	4	,	,	PUNCT
ejpam-6749	212	5	following	follow	VERB
ejpam-6749	212	6	the	the	DET
ejpam-6749	212	7	approach	approach	NOUN
ejpam-6749	212	8	of	of	ADP
ejpam-6749	212	9	hale	hale	PROPN
ejpam-6749	212	10	[	[	X
ejpam-6749	212	11	42	42	NUM
ejpam-6749	212	12	]	]	PUNCT
ejpam-6749	212	13	,	,	PUNCT
ejpam-6749	212	14	is	be	AUX
ejpam-6749	212	15	that	that	SCONJ
ejpam-6749	212	16	solutions	solution	NOUN
ejpam-6749	212	17	can	can	AUX
ejpam-6749	212	18	not	not	PART
ejpam-6749	212	19	escape	escape	VERB
ejpam-6749	212	20	to	to	PART
ejpam-6749	212	21	infinity	infinity	NOUN
ejpam-6749	212	22	in	in	ADP
ejpam-6749	212	23	finite	finite	ADJ
ejpam-6749	212	24	time	time	NOUN
ejpam-6749	212	25	due	due	ADP
ejpam-6749	212	26	to	to	ADP
ejpam-6749	212	27	the	the	DET
ejpam-6749	212	28	ultimate	ultimate	ADJ
ejpam-6749	212	29	boundedness	boundedness	NOUN
ejpam-6749	212	30	property	property	NOUN
ejpam-6749	212	31	.	.	PUNCT
ejpam-6749	213	1	since	since	SCONJ
ejpam-6749	213	2	the	the	DET
ejpam-6749	213	3	vector	vector	NOUN
ejpam-6749	213	4	field	field	NOUN
ejpam-6749	213	5	is	be	AUX
ejpam-6749	213	6	smooth	smooth	ADJ
ejpam-6749	213	7	(	(	PUNCT
ejpam-6749	213	8	infinitely	infinitely	ADV
ejpam-6749	213	9	differentiable	differentiable	ADJ
ejpam-6749	213	10	)	)	PUNCT
ejpam-6749	213	11	and	and	CCONJ
ejpam-6749	213	12	solutions	solution	NOUN
ejpam-6749	213	13	remain	remain	VERB
ejpam-6749	213	14	bounded	bounded	ADJ
ejpam-6749	213	15	in	in	ADP
ejpam-6749	213	16	ω	ω	PROPN
ejpam-6749	213	17	,	,	PUNCT
ejpam-6749	213	18	no	no	DET
ejpam-6749	213	19	finite	finite	ADJ
ejpam-6749	213	20	-	-	PUNCT
ejpam-6749	213	21	time	time	NOUN
ejpam-6749	213	22	blowup	blowup	NOUN
ejpam-6749	213	23	can	can	AUX
ejpam-6749	213	24	occur	occur	VERB
ejpam-6749	213	25	.	.	PUNCT
ejpam-6749	214	1	the	the	DET
ejpam-6749	214	2	standard	standard	ADJ
ejpam-6749	214	3	extension	extension	NOUN
ejpam-6749	214	4	theorem	theorem	NOUN
ejpam-6749	214	5	for	for	ADP
ejpam-6749	214	6	ordinary	ordinary	ADJ
ejpam-6749	214	7	differential	differential	ADJ
ejpam-6749	214	8	equations	equation	NOUN
ejpam-6749	214	9	(	(	PUNCT
ejpam-6749	214	10	see	see	VERB
ejpam-6749	214	11	walter	walter	PROPN
ejpam-6749	215	1	[	[	X
ejpam-6749	215	2	37	37	NUM
ejpam-6749	215	3	]	]	PUNCT
ejpam-6749	215	4	)	)	PUNCT
ejpam-6749	215	5	then	then	ADV
ejpam-6749	215	6	guarantees	guarantee	VERB
ejpam-6749	215	7	that	that	SCONJ
ejpam-6749	215	8	local	local	ADJ
ejpam-6749	215	9	solutions	solution	NOUN
ejpam-6749	215	10	can	can	AUX
ejpam-6749	215	11	be	be	AUX
ejpam-6749	215	12	extended	extend	VERB
ejpam-6749	215	13	to	to	ADP
ejpam-6749	215	14	the	the	DET
ejpam-6749	215	15	maximal	maximal	ADJ
ejpam-6749	215	16	interval	interval	NOUN
ejpam-6749	215	17	of	of	ADP
ejpam-6749	215	18	existence	existence	NOUN
ejpam-6749	215	19	,	,	PUNCT
ejpam-6749	215	20	which	which	PRON
ejpam-6749	215	21	in	in	ADP
ejpam-6749	215	22	this	this	DET
ejpam-6749	215	23	case	case	NOUN
ejpam-6749	215	24	is	be	AUX
ejpam-6749	215	25	[	[	X
ejpam-6749	215	26	0,∞	0,∞	NOUN
ejpam-6749	215	27	)	)	PUNCT
ejpam-6749	215	28	.	.	PUNCT
ejpam-6749	216	1	the	the	DET
ejpam-6749	216	2	positive	positive	ADJ
ejpam-6749	216	3	invariance	invariance	NOUN
ejpam-6749	216	4	established	establish	VERB
ejpam-6749	216	5	in	in	ADP
ejpam-6749	216	6	1	1	NUM
ejpam-6749	216	7	ensures	ensure	VERB
ejpam-6749	216	8	that	that	SCONJ
ejpam-6749	216	9	solutions	solution	NOUN
ejpam-6749	216	10	starting	start	VERB
ejpam-6749	216	11	in	in	ADP
ejpam-6749	216	12	ω	ω	NUM
ejpam-6749	216	13	remain	remain	VERB
ejpam-6749	216	14	in	in	ADP
ejpam-6749	216	15	ω	ω	NUM
ejpam-6749	216	16	for	for	ADP
ejpam-6749	216	17	all	all	DET
ejpam-6749	216	18	time	time	NOUN
ejpam-6749	216	19	,	,	PUNCT
ejpam-6749	216	20	completing	complete	VERB
ejpam-6749	216	21	the	the	DET
ejpam-6749	216	22	existence	existence	NOUN
ejpam-6749	216	23	component	component	NOUN
ejpam-6749	216	24	of	of	ADP
ejpam-6749	216	25	the	the	DET
ejpam-6749	216	26	theorem	theorem	NOUN
ejpam-6749	216	27	.	.	PUNCT
ejpam-6749	216	28	continuous	continuous	ADJ
ejpam-6749	216	29	dependence	dependence	NOUN
ejpam-6749	216	30	on	on	ADP
ejpam-6749	216	31	initial	initial	ADJ
ejpam-6749	216	32	conditions	condition	NOUN
ejpam-6749	216	33	follows	follow	VERB
ejpam-6749	216	34	from	from	ADP
ejpam-6749	216	35	the	the	DET
ejpam-6749	216	36	general	general	ADJ
ejpam-6749	216	37	theory	theory	NOUN
ejpam-6749	216	38	of	of	ADP
ejpam-6749	216	39	differential	differential	ADJ
ejpam-6749	216	40	equations	equation	NOUN
ejpam-6749	216	41	as	as	SCONJ
ejpam-6749	216	42	developed	develop	VERB
ejpam-6749	216	43	by	by	ADP
ejpam-6749	216	44	hartman	hartman	PROPN
ejpam-6749	217	1	[	[	X
ejpam-6749	217	2	39	39	NUM
ejpam-6749	217	3	]	]	PUNCT
ejpam-6749	217	4	.	.	PUNCT
ejpam-6749	218	1	if	if	SCONJ
ejpam-6749	218	2	(	(	PUNCT
ejpam-6749	218	3	sε(t	sε(t	NOUN
ejpam-6749	218	4	)	)	PUNCT
ejpam-6749	218	5	,	,	PUNCT
ejpam-6749	218	6	tε(t	tε(t	NUM
ejpam-6749	218	7	)	)	PUNCT
ejpam-6749	218	8	,	,	PUNCT
ejpam-6749	218	9	qε(t	qε(t	NOUN
ejpam-6749	218	10	)	)	PUNCT
ejpam-6749	218	11	)	)	PUNCT
ejpam-6749	218	12	denotes	denote	VERB
ejpam-6749	218	13	the	the	DET
ejpam-6749	218	14	m.	m.	NOUN
ejpam-6749	218	15	zorom	zorom	VERB
ejpam-6749	219	1	et	et	NOUN
ejpam-6749	219	2	al	al	PROPN
ejpam-6749	219	3	.	.	PUNCT
ejpam-6749	219	4	/	/	SYM
ejpam-6749	219	5	eur	eur	PROPN
ejpam-6749	219	6	.	.	PUNCT
ejpam-6749	220	1	j.	j.	PROPN
ejpam-6749	220	2	pure	pure	PROPN
ejpam-6749	220	3	appl	appl	PROPN
ejpam-6749	220	4	.	.	PROPN
ejpam-6749	220	5	math	math	PROPN
ejpam-6749	220	6	,	,	PUNCT
ejpam-6749	220	7	18	18	NUM
ejpam-6749	220	8	(	(	PUNCT
ejpam-6749	220	9	4	4	NUM
ejpam-6749	220	10	)	)	PUNCT
ejpam-6749	220	11	(	(	PUNCT
ejpam-6749	220	12	2025	2025	NUM
ejpam-6749	220	13	)	)	PUNCT
ejpam-6749	220	14	,	,	PUNCT
ejpam-6749	220	15	6749	6749	NUM
ejpam-6749	220	16	10	10	NUM
ejpam-6749	220	17	of	of	ADP
ejpam-6749	220	18	47	47	NUM
ejpam-6749	220	19	solution	solution	NOUN
ejpam-6749	220	20	with	with	ADP
ejpam-6749	220	21	initial	initial	ADJ
ejpam-6749	220	22	condition	condition	NOUN
ejpam-6749	220	23	(	(	PUNCT
ejpam-6749	220	24	s0	s0	PROPN
ejpam-6749	220	25	+	+	CCONJ
ejpam-6749	220	26	ε1	ε1	PROPN
ejpam-6749	220	27	,	,	PUNCT
ejpam-6749	220	28	t0	t0	PROPN
ejpam-6749	220	29	+	+	CCONJ
ejpam-6749	221	1	ε2	ε2	ADJ
ejpam-6749	221	2	,	,	PUNCT
ejpam-6749	221	3	q0	q0	PROPN
ejpam-6749	221	4	+	+	CCONJ
ejpam-6749	221	5	ε3	ε3	PROPN
ejpam-6749	221	6	)	)	PUNCT
ejpam-6749	221	7	,	,	PUNCT
ejpam-6749	221	8	then	then	ADV
ejpam-6749	221	9	the	the	DET
ejpam-6749	221	10	difference	difference	NOUN
ejpam-6749	221	11	vector	vector	NOUN
ejpam-6749	221	12	w(t	w(t	PROPN
ejpam-6749	221	13	)	)	PUNCT
ejpam-6749	221	14	=	=	PUNCT
ejpam-6749	221	15	(	(	PUNCT
ejpam-6749	221	16	sε(t)−	sε(t)−	PROPN
ejpam-6749	221	17	s(t	s(t	PROPN
ejpam-6749	221	18	)	)	PUNCT
ejpam-6749	221	19	,	,	PUNCT
ejpam-6749	221	20	tε(t)−	tε(t)−	PROPN
ejpam-6749	221	21	t	t	PROPN
ejpam-6749	221	22	(	(	PUNCT
ejpam-6749	221	23	t	t	PROPN
ejpam-6749	221	24	)	)	PUNCT
ejpam-6749	221	25	,	,	PUNCT
ejpam-6749	221	26	qε(t)−q(t))t	qε(t)−q(t))t	PROPN
ejpam-6749	221	27	satisfies	satisfy	VERB
ejpam-6749	221	28	the	the	DET
ejpam-6749	221	29	variational	variational	ADJ
ejpam-6749	221	30	equation	equation	NOUN
ejpam-6749	221	31	dw	dw	NOUN
ejpam-6749	221	32	dt	dt	NOUN
ejpam-6749	221	33	=	=	SYM
ejpam-6749	221	34	j(ξ(t))w(t	j(ξ(t))w(t	PROPN
ejpam-6749	221	35	)	)	PUNCT
ejpam-6749	221	36	for	for	ADP
ejpam-6749	221	37	some	some	DET
ejpam-6749	221	38	intermediate	intermediate	ADJ
ejpam-6749	221	39	value	value	NOUN
ejpam-6749	221	40	ξ(t	ξ(t	NOUN
ejpam-6749	221	41	)	)	PUNCT
ejpam-6749	221	42	along	along	ADP
ejpam-6749	221	43	the	the	DET
ejpam-6749	221	44	line	line	NOUN
ejpam-6749	221	45	segment	segment	NOUN
ejpam-6749	221	46	connecting	connect	VERB
ejpam-6749	221	47	the	the	DET
ejpam-6749	221	48	two	two	NUM
ejpam-6749	221	49	solution	solution	NOUN
ejpam-6749	221	50	trajectories	trajectory	NOUN
ejpam-6749	221	51	.	.	PUNCT
ejpam-6749	222	1	since	since	SCONJ
ejpam-6749	222	2	solutions	solution	NOUN
ejpam-6749	222	3	are	be	AUX
ejpam-6749	222	4	bounded	bound	VERB
ejpam-6749	222	5	by	by	ADP
ejpam-6749	222	6	1	1	NUM
ejpam-6749	222	7	,	,	PUNCT
ejpam-6749	222	8	there	there	PRON
ejpam-6749	222	9	exists	exist	VERB
ejpam-6749	222	10	a	a	DET
ejpam-6749	222	11	uniform	uniform	ADJ
ejpam-6749	222	12	constant	constant	ADJ
ejpam-6749	222	13	l	l	NOUN
ejpam-6749	222	14	>	>	X
ejpam-6749	222	15	0	0	NUM
ejpam-6749	222	16	such	such	ADJ
ejpam-6749	222	17	that	that	SCONJ
ejpam-6749	222	18	∥j(ξ(t))∥	∥j(ξ(t))∥	ADJ
ejpam-6749	222	19	≤	≤	X
ejpam-6749	222	20	l	l	NOUN
ejpam-6749	222	21	for	for	ADP
ejpam-6749	222	22	all	all	DET
ejpam-6749	222	23	t	t	PROPN
ejpam-6749	222	24	≥	≥	NOUN
ejpam-6749	222	25	0	0	NUM
ejpam-6749	222	26	.	.	PUNCT
ejpam-6749	222	27	applying	apply	VERB
ejpam-6749	222	28	grönwall	grönwall	NOUN
ejpam-6749	222	29	’s	’s	PART
ejpam-6749	222	30	inequality	inequality	NOUN
ejpam-6749	222	31	in	in	ADP
ejpam-6749	222	32	the	the	DET
ejpam-6749	222	33	integral	integral	ADJ
ejpam-6749	222	34	form	form	NOUN
ejpam-6749	222	35	as	as	SCONJ
ejpam-6749	222	36	presented	present	VERB
ejpam-6749	222	37	by	by	ADP
ejpam-6749	222	38	lakshmikantham	lakshmikantham	NOUN
ejpam-6749	222	39	and	and	CCONJ
ejpam-6749	222	40	leela	leela	PROPN
ejpam-6749	223	1	[	[	X
ejpam-6749	223	2	35	35	NUM
ejpam-6749	223	3	]	]	PUNCT
ejpam-6749	223	4	,	,	PUNCT
ejpam-6749	223	5	we	we	PRON
ejpam-6749	223	6	obtain	obtain	VERB
ejpam-6749	223	7	∥w(t)∥	∥w(t)∥	NOUN
ejpam-6749	223	8	≤	≤	NUM
ejpam-6749	223	9	∥w(0)∥elt	∥w(0)∥elt	SYM
ejpam-6749	223	10	=	=	SYM
ejpam-6749	223	11	∥ε∥elt	∥ε∥elt	PROPN
ejpam-6749	223	12	,	,	PUNCT
ejpam-6749	223	13	where	where	SCONJ
ejpam-6749	223	14	ε	ε	PROPN
ejpam-6749	223	15	=	=	SYM
ejpam-6749	223	16	(	(	PUNCT
ejpam-6749	223	17	ε1	ε1	PROPN
ejpam-6749	223	18	,	,	PUNCT
ejpam-6749	223	19	ε2	ε2	PROPN
ejpam-6749	223	20	,	,	PUNCT
ejpam-6749	223	21	ε3	ε3	PROPN
ejpam-6749	223	22	)	)	PUNCT
ejpam-6749	223	23	t	t	PROPN
ejpam-6749	223	24	represents	represent	VERB
ejpam-6749	223	25	the	the	DET
ejpam-6749	223	26	perturbation	perturbation	NOUN
ejpam-6749	223	27	in	in	ADP
ejpam-6749	223	28	initial	initial	ADJ
ejpam-6749	223	29	conditions	condition	NOUN
ejpam-6749	223	30	.	.	PUNCT
ejpam-6749	224	1	this	this	DET
ejpam-6749	224	2	explicit	explicit	ADJ
ejpam-6749	224	3	bound	bind	VERB
ejpam-6749	224	4	establishes	establish	VERB
ejpam-6749	224	5	continuous	continuous	ADJ
ejpam-6749	224	6	dependence	dependence	NOUN
ejpam-6749	224	7	with	with	ADP
ejpam-6749	224	8	quantitative	quantitative	ADJ
ejpam-6749	224	9	estimates	estimate	NOUN
ejpam-6749	224	10	for	for	ADP
ejpam-6749	224	11	the	the	DET
ejpam-6749	224	12	propagation	propagation	NOUN
ejpam-6749	224	13	of	of	ADP
ejpam-6749	224	14	initial	initial	ADJ
ejpam-6749	224	15	uncertainties	uncertainty	NOUN
ejpam-6749	224	16	,	,	PUNCT
ejpam-6749	224	17	completing	complete	VERB
ejpam-6749	224	18	the	the	DET
ejpam-6749	224	19	proof	proof	NOUN
ejpam-6749	224	20	of	of	ADP
ejpam-6749	224	21	global	global	ADJ
ejpam-6749	224	22	existence	existence	NOUN
ejpam-6749	224	23	and	and	CCONJ
ejpam-6749	224	24	uniqueness	uniqueness	NOUN
ejpam-6749	224	25	with	with	ADP
ejpam-6749	224	26	continuous	continuous	ADJ
ejpam-6749	224	27	dependence	dependence	NOUN
ejpam-6749	224	28	on	on	ADP
ejpam-6749	224	29	initial	initial	ADJ
ejpam-6749	224	30	data	datum	NOUN
ejpam-6749	224	31	.	.	PUNCT
ejpam-6749	225	1	4	4	X
ejpam-6749	225	2	.	.	X
ejpam-6749	225	3	equilibrium	equilibrium	NOUN
ejpam-6749	225	4	analysis	analysis	NOUN
ejpam-6749	225	5	the	the	DET
ejpam-6749	225	6	equilibrium	equilibrium	NOUN
ejpam-6749	225	7	analysis	analysis	NOUN
ejpam-6749	225	8	of	of	ADP
ejpam-6749	225	9	terrorism	terrorism	NOUN
ejpam-6749	225	10	dynamics	dynamic	NOUN
ejpam-6749	225	11	follows	follow	VERB
ejpam-6749	225	12	the	the	DET
ejpam-6749	225	13	comprehensive	comprehensive	ADJ
ejpam-6749	225	14	framework	framework	NOUN
ejpam-6749	225	15	established	establish	VERB
ejpam-6749	225	16	by	by	ADP
ejpam-6749	225	17	van	van	PROPN
ejpam-6749	225	18	den	den	PROPN
ejpam-6749	225	19	driessche	driessche	NOUN
ejpam-6749	225	20	and	and	CCONJ
ejpam-6749	225	21	watmough	watmough	NOUN
ejpam-6749	225	22	[	[	X
ejpam-6749	225	23	43	43	NUM
ejpam-6749	225	24	]	]	PUNCT
ejpam-6749	225	25	for	for	ADP
ejpam-6749	225	26	disease	disease	NOUN
ejpam-6749	225	27	transmission	transmission	NOUN
ejpam-6749	225	28	models	model	NOUN
ejpam-6749	225	29	,	,	PUNCT
ejpam-6749	225	30	adapted	adapt	VERB
ejpam-6749	225	31	to	to	ADP
ejpam-6749	225	32	the	the	DET
ejpam-6749	225	33	unique	unique	ADJ
ejpam-6749	225	34	features	feature	NOUN
ejpam-6749	225	35	of	of	ADP
ejpam-6749	225	36	ideological	ideological	ADJ
ejpam-6749	225	37	contagion	contagion	NOUN
ejpam-6749	225	38	and	and	CCONJ
ejpam-6749	225	39	extended	extend	VERB
ejpam-6749	225	40	using	use	VERB
ejpam-6749	225	41	the	the	DET
ejpam-6749	225	42	general	general	ADJ
ejpam-6749	225	43	theory	theory	NOUN
ejpam-6749	225	44	of	of	ADP
ejpam-6749	225	45	dynamical	dynamical	ADJ
ejpam-6749	225	46	systems	system	NOUN
ejpam-6749	225	47	equilibria	equilibrium	NOUN
ejpam-6749	225	48	developed	develop	VERB
ejpam-6749	225	49	by	by	ADP
ejpam-6749	225	50	wiggins	wiggins	PROPN
ejpam-6749	225	51	[	[	X
ejpam-6749	225	52	44	44	NUM
ejpam-6749	225	53	]	]	PUNCT
ejpam-6749	225	54	.	.	PUNCT
ejpam-6749	226	1	4.1	4.1	NUM
ejpam-6749	226	2	.	.	PUNCT
ejpam-6749	227	1	terrorism	terrorism	NOUN
ejpam-6749	227	2	-	-	PUNCT
ejpam-6749	227	3	free	free	ADJ
ejpam-6749	227	4	equilibrium	equilibrium	NOUN
ejpam-6749	227	5	theorem	theorem	ADJ
ejpam-6749	227	6	2	2	NUM
ejpam-6749	227	7	.	.	PUNCT
ejpam-6749	227	8	system	system	NOUN
ejpam-6749	227	9	(	(	PUNCT
ejpam-6749	227	10	1	1	X
ejpam-6749	227	11	)	)	PUNCT
ejpam-6749	227	12	possesses	possess	VERB
ejpam-6749	227	13	a	a	DET
ejpam-6749	227	14	unique	unique	ADJ
ejpam-6749	227	15	terrorism	terrorism	NOUN
ejpam-6749	227	16	-	-	PUNCT
ejpam-6749	227	17	free	free	ADJ
ejpam-6749	227	18	equilibrium	equilibrium	NOUN
ejpam-6749	227	19	given	give	VERB
ejpam-6749	227	20	by	by	ADP
ejpam-6749	227	21	e0	e0	PROPN
ejpam-6749	227	22	=	=	PUNCT
ejpam-6749	227	23	(	(	PUNCT
ejpam-6749	227	24	λ	λ	X
ejpam-6749	227	25	µ+	µ+	PUNCT
ejpam-6749	227	26	γ	γ	X
ejpam-6749	227	27	,	,	PUNCT
ejpam-6749	227	28	0	0	NUM
ejpam-6749	227	29	,	,	PUNCT
ejpam-6749	227	30	γλ	γλ	PROPN
ejpam-6749	227	31	µ(µ+	µ(µ+	PROPN
ejpam-6749	227	32	γ	γ	NOUN
ejpam-6749	227	33	)	)	PUNCT
ejpam-6749	227	34	)	)	PUNCT
ejpam-6749	227	35	.	.	PUNCT
ejpam-6749	228	1	proof	proof	NOUN
ejpam-6749	228	2	.	.	PUNCT
ejpam-6749	229	1	the	the	DET
ejpam-6749	229	2	proof	proof	NOUN
ejpam-6749	229	3	employs	employ	VERB
ejpam-6749	229	4	algebraic	algebraic	ADJ
ejpam-6749	229	5	methods	method	NOUN
ejpam-6749	229	6	for	for	ADP
ejpam-6749	229	7	polynomial	polynomial	ADJ
ejpam-6749	229	8	systems	system	NOUN
ejpam-6749	229	9	as	as	SCONJ
ejpam-6749	229	10	developed	develop	VERB
ejpam-6749	229	11	by	by	ADP
ejpam-6749	229	12	cox	cox	PROPN
ejpam-6749	229	13	,	,	PUNCT
ejpam-6749	229	14	little	little	ADJ
ejpam-6749	229	15	,	,	PUNCT
ejpam-6749	229	16	and	and	CCONJ
ejpam-6749	229	17	o’shea	o’shea	PROPN
ejpam-6749	229	18	[	[	X
ejpam-6749	229	19	45	45	NUM
ejpam-6749	229	20	]	]	PUNCT
ejpam-6749	229	21	,	,	PUNCT
ejpam-6749	229	22	specialized	specialize	VERB
ejpam-6749	229	23	to	to	ADP
ejpam-6749	229	24	the	the	DET
ejpam-6749	229	25	case	case	NOUN
ejpam-6749	229	26	of	of	ADP
ejpam-6749	229	27	equilibrium	equilibrium	NOUN
ejpam-6749	229	28	analysis	analysis	NOUN
ejpam-6749	229	29	in	in	ADP
ejpam-6749	229	30	dynamical	dynamical	ADJ
ejpam-6749	229	31	systems	system	NOUN
ejpam-6749	229	32	following	follow	VERB
ejpam-6749	229	33	kuznetsov	kuznetsov	PROPN
ejpam-6749	229	34	[	[	X
ejpam-6749	229	35	46	46	NUM
ejpam-6749	229	36	]	]	PUNCT
ejpam-6749	229	37	.	.	PUNCT
ejpam-6749	230	1	at	at	ADP
ejpam-6749	230	2	any	any	DET
ejpam-6749	230	3	equilibrium	equilibrium	NOUN
ejpam-6749	230	4	point	point	NOUN
ejpam-6749	230	5	of	of	ADP
ejpam-6749	230	6	system	system	NOUN
ejpam-6749	230	7	(	(	PUNCT
ejpam-6749	230	8	1	1	NUM
ejpam-6749	230	9	)	)	PUNCT
ejpam-6749	230	10	,	,	PUNCT
ejpam-6749	230	11	all	all	DET
ejpam-6749	230	12	time	time	NOUN
ejpam-6749	230	13	derivatives	derivative	NOUN
ejpam-6749	230	14	must	must	AUX
ejpam-6749	230	15	vanish	vanish	VERB
ejpam-6749	230	16	simultaneously	simultaneously	ADV
ejpam-6749	230	17	.	.	PUNCT
ejpam-6749	231	1	this	this	DET
ejpam-6749	231	2	condition	condition	NOUN
ejpam-6749	231	3	translates	translate	VERB
ejpam-6749	231	4	to	to	ADP
ejpam-6749	231	5	the	the	DET
ejpam-6749	231	6	requirement	requirement	NOUN
ejpam-6749	231	7	that	that	SCONJ
ejpam-6749	231	8	the	the	DET
ejpam-6749	231	9	vector	vector	NOUN
ejpam-6749	231	10	field	field	NOUN
ejpam-6749	231	11	f(x	f(x	PROPN
ejpam-6749	231	12	)	)	PUNCT
ejpam-6749	231	13	equals	equal	VERB
ejpam-6749	231	14	zero	zero	NUM
ejpam-6749	231	15	,	,	PUNCT
ejpam-6749	231	16	yielding	yield	VERB
ejpam-6749	231	17	the	the	DET
ejpam-6749	231	18	algebraic	algebraic	ADJ
ejpam-6749	231	19	system	system	NOUN
ejpam-6749	231	20	λ−	λ−	PROPN
ejpam-6749	231	21	(	(	PUNCT
ejpam-6749	231	22	µ+	µ+	X
ejpam-6749	231	23	γ)s∗	γ)s∗	NUM
ejpam-6749	231	24	−	−	PROPN
ejpam-6749	231	25	(	(	PUNCT
ejpam-6749	231	26	β	β	X
ejpam-6749	231	27	+	+	X
ejpam-6749	231	28	k)s∗t	k)s∗t	NOUN
ejpam-6749	231	29	∗	∗	NOUN
ejpam-6749	231	30	+	+	CCONJ
ejpam-6749	231	31	φt	φt	NOUN
ejpam-6749	231	32	∗	∗	NOUN
ejpam-6749	231	33	=	=	SYM
ejpam-6749	231	34	0	0	NUM
ejpam-6749	231	35	,	,	PUNCT
ejpam-6749	231	36	(	(	PUNCT
ejpam-6749	231	37	5	5	NUM
ejpam-6749	231	38	)	)	PUNCT
ejpam-6749	231	39	βs∗t	βs∗t	NOUN
ejpam-6749	231	40	∗	∗	NOUN
ejpam-6749	231	41	−	−	PROPN
ejpam-6749	232	1	(	(	PUNCT
ejpam-6749	232	2	φ+	φ+	X
ejpam-6749	232	3	δ	δ	X
ejpam-6749	232	4	+	+	CCONJ
ejpam-6749	232	5	µ)t	µ)t	NOUN
ejpam-6749	232	6	∗	∗	NOUN
ejpam-6749	232	7	=	=	SYM
ejpam-6749	232	8	0	0	NUM
ejpam-6749	232	9	,	,	PUNCT
ejpam-6749	232	10	(	(	PUNCT
ejpam-6749	232	11	6	6	NUM
ejpam-6749	232	12	)	)	PUNCT
ejpam-6749	232	13	γs∗	γs∗	ADV
ejpam-6749	232	14	−	−	NOUN
ejpam-6749	232	15	µq∗	µq∗	NOUN
ejpam-6749	232	16	=	=	NOUN
ejpam-6749	232	17	0	0	X
ejpam-6749	232	18	.	.	PUNCT
ejpam-6749	233	1	(	(	PUNCT
ejpam-6749	233	2	7	7	X
ejpam-6749	233	3	)	)	PUNCT
ejpam-6749	233	4	the	the	DET
ejpam-6749	233	5	terrorism	terrorism	NOUN
ejpam-6749	233	6	-	-	PUNCT
ejpam-6749	233	7	free	free	ADJ
ejpam-6749	233	8	condition	condition	NOUN
ejpam-6749	233	9	requires	require	VERB
ejpam-6749	233	10	t	t	NOUN
ejpam-6749	233	11	∗	∗	NOUN
ejpam-6749	233	12	=	=	SYM
ejpam-6749	233	13	0	0	NUM
ejpam-6749	233	14	,	,	PUNCT
ejpam-6749	233	15	representing	represent	VERB
ejpam-6749	233	16	the	the	DET
ejpam-6749	233	17	complete	complete	ADJ
ejpam-6749	233	18	absence	absence	NOUN
ejpam-6749	233	19	of	of	ADP
ejpam-6749	233	20	terrorist	terrorist	ADJ
ejpam-6749	233	21	activity	activity	NOUN
ejpam-6749	233	22	in	in	ADP
ejpam-6749	233	23	the	the	DET
ejpam-6749	233	24	equilibrium	equilibrium	NOUN
ejpam-6749	233	25	state	state	NOUN
ejpam-6749	233	26	.	.	PUNCT
ejpam-6749	234	1	this	this	DET
ejpam-6749	234	2	condition	condition	NOUN
ejpam-6749	234	3	reflects	reflect	VERB
ejpam-6749	234	4	the	the	DET
ejpam-6749	234	5	epidemiological	epidemiological	ADJ
ejpam-6749	234	6	m.	m.	NOUN
ejpam-6749	234	7	zorom	zorom	NOUN
ejpam-6749	234	8	et	et	NOUN
ejpam-6749	234	9	al	al	PROPN
ejpam-6749	234	10	.	.	PUNCT
ejpam-6749	234	11	/	/	SYM
ejpam-6749	234	12	eur	eur	PROPN
ejpam-6749	234	13	.	.	PUNCT
ejpam-6749	235	1	j.	j.	PROPN
ejpam-6749	235	2	pure	pure	PROPN
ejpam-6749	235	3	appl	appl	PROPN
ejpam-6749	235	4	.	.	PROPN
ejpam-6749	235	5	math	math	PROPN
ejpam-6749	235	6	,	,	PUNCT
ejpam-6749	235	7	18	18	NUM
ejpam-6749	235	8	(	(	PUNCT
ejpam-6749	235	9	4	4	NUM
ejpam-6749	235	10	)	)	PUNCT
ejpam-6749	235	11	(	(	PUNCT
ejpam-6749	235	12	2025	2025	NUM
ejpam-6749	235	13	)	)	PUNCT
ejpam-6749	235	14	,	,	PUNCT
ejpam-6749	235	15	6749	6749	NUM
ejpam-6749	235	16	11	11	NUM
ejpam-6749	235	17	of	of	ADP
ejpam-6749	235	18	47	47	NUM
ejpam-6749	235	19	concept	concept	NOUN
ejpam-6749	235	20	of	of	ADP
ejpam-6749	235	21	disease	disease	NOUN
ejpam-6749	235	22	elimination	elimination	NOUN
ejpam-6749	235	23	,	,	PUNCT
ejpam-6749	235	24	adapted	adapt	VERB
ejpam-6749	235	25	to	to	ADP
ejpam-6749	235	26	the	the	DET
ejpam-6749	235	27	context	context	NOUN
ejpam-6749	235	28	of	of	ADP
ejpam-6749	235	29	terrorism	terrorism	NOUN
ejpam-6749	235	30	dynamics	dynamic	NOUN
ejpam-6749	235	31	as	as	SCONJ
ejpam-6749	235	32	discussed	discuss	VERB
ejpam-6749	235	33	by	by	ADP
ejpam-6749	235	34	diekmann	diekmann	NOUN
ejpam-6749	235	35	,	,	PUNCT
ejpam-6749	235	36	heesterbeek	heesterbeek	NOUN
ejpam-6749	235	37	,	,	PUNCT
ejpam-6749	235	38	and	and	CCONJ
ejpam-6749	235	39	metz	metz	PROPN
ejpam-6749	236	1	[	[	X
ejpam-6749	236	2	47	47	NUM
ejpam-6749	236	3	]	]	PUNCT
ejpam-6749	236	4	.	.	PUNCT
ejpam-6749	237	1	substituting	substitute	VERB
ejpam-6749	237	2	the	the	DET
ejpam-6749	237	3	terrorism	terrorism	NOUN
ejpam-6749	237	4	-	-	PUNCT
ejpam-6749	237	5	free	free	ADJ
ejpam-6749	237	6	condition	condition	NOUN
ejpam-6749	237	7	t	t	NOUN
ejpam-6749	237	8	∗	∗	NOUN
ejpam-6749	237	9	=	=	SYM
ejpam-6749	237	10	0	0	NUM
ejpam-6749	237	11	into	into	ADP
ejpam-6749	237	12	equation	equation	NOUN
ejpam-6749	237	13	(	(	PUNCT
ejpam-6749	237	14	6	6	NUM
ejpam-6749	237	15	)	)	PUNCT
ejpam-6749	237	16	,	,	PUNCT
ejpam-6749	237	17	we	we	PRON
ejpam-6749	237	18	obtain	obtain	VERB
ejpam-6749	237	19	0	0	NUM
ejpam-6749	238	1	=	=	SYM
ejpam-6749	238	2	0	0	NUM
ejpam-6749	238	3	,	,	PUNCT
ejpam-6749	238	4	which	which	PRON
ejpam-6749	238	5	is	be	AUX
ejpam-6749	238	6	trivially	trivially	ADV
ejpam-6749	238	7	satisfied	satisfied	ADJ
ejpam-6749	238	8	.	.	PUNCT
ejpam-6749	239	1	this	this	DET
ejpam-6749	239	2	degeneracy	degeneracy	NOUN
ejpam-6749	239	3	is	be	AUX
ejpam-6749	239	4	characteristic	characteristic	ADJ
ejpam-6749	239	5	of	of	ADP
ejpam-6749	239	6	terrorism	terrorism	NOUN
ejpam-6749	239	7	-	-	PUNCT
ejpam-6749	239	8	free	free	ADJ
ejpam-6749	239	9	equilibrium	equilibrium	NOUN
ejpam-6749	239	10	in	in	ADP
ejpam-6749	239	11	compartmental	compartmental	ADJ
ejpam-6749	239	12	models	model	NOUN
ejpam-6749	239	13	and	and	CCONJ
ejpam-6749	239	14	indicates	indicate	VERB
ejpam-6749	239	15	that	that	SCONJ
ejpam-6749	239	16	the	the	DET
ejpam-6749	239	17	terrorist	terrorist	ADJ
ejpam-6749	239	18	compartment	compartment	NOUN
ejpam-6749	239	19	equation	equation	NOUN
ejpam-6749	239	20	becomes	become	VERB
ejpam-6749	239	21	vacuous	vacuous	ADJ
ejpam-6749	239	22	in	in	ADP
ejpam-6749	239	23	the	the	DET
ejpam-6749	239	24	absence	absence	NOUN
ejpam-6749	239	25	of	of	ADP
ejpam-6749	239	26	terrorists	terrorist	NOUN
ejpam-6749	239	27	.	.	PUNCT
ejpam-6749	240	1	with	with	ADP
ejpam-6749	240	2	t	t	PROPN
ejpam-6749	240	3	∗	∗	NOUN
ejpam-6749	240	4	=	=	SYM
ejpam-6749	240	5	0	0	NUM
ejpam-6749	240	6	,	,	PUNCT
ejpam-6749	240	7	equation	equation	NOUN
ejpam-6749	240	8	(	(	PUNCT
ejpam-6749	240	9	5	5	NUM
ejpam-6749	240	10	)	)	PUNCT
ejpam-6749	240	11	simplifies	simplifie	NOUN
ejpam-6749	240	12	to	to	ADP
ejpam-6749	240	13	the	the	DET
ejpam-6749	240	14	linear	linear	ADJ
ejpam-6749	240	15	equation	equation	NOUN
ejpam-6749	240	16	λ−	λ−	PROPN
ejpam-6749	240	17	(	(	PUNCT
ejpam-6749	240	18	µ+	µ+	X
ejpam-6749	240	19	γ)s∗	γ)s∗	NUM
ejpam-6749	240	20	=	=	SYM
ejpam-6749	240	21	0	0	NUM
ejpam-6749	240	22	,	,	PUNCT
ejpam-6749	240	23	which	which	PRON
ejpam-6749	240	24	immediately	immediately	ADV
ejpam-6749	240	25	yields	yield	VERB
ejpam-6749	240	26	the	the	DET
ejpam-6749	240	27	susceptible	susceptible	ADJ
ejpam-6749	240	28	population	population	NOUN
ejpam-6749	240	29	at	at	ADP
ejpam-6749	240	30	terrorism	terrorism	NOUN
ejpam-6749	240	31	-	-	PUNCT
ejpam-6749	240	32	free	free	ADJ
ejpam-6749	240	33	equilibrium	equilibrium	NOUN
ejpam-6749	240	34	:	:	PUNCT
ejpam-6749	240	35	s∗	s∗	PROPN
ejpam-6749	240	36	=	=	SYM
ejpam-6749	240	37	λ	λ	PROPN
ejpam-6749	240	38	µ+	µ+	X
ejpam-6749	240	39	γ	γ	X
ejpam-6749	240	40	.	.	PUNCT
ejpam-6749	241	1	finally	finally	ADV
ejpam-6749	241	2	,	,	PUNCT
ejpam-6749	241	3	equation	equation	NOUN
ejpam-6749	241	4	(	(	PUNCT
ejpam-6749	241	5	7	7	X
ejpam-6749	241	6	)	)	PUNCT
ejpam-6749	241	7	provides	provide	VERB
ejpam-6749	241	8	the	the	DET
ejpam-6749	241	9	displaced	displace	VERB
ejpam-6749	241	10	population	population	NOUN
ejpam-6749	241	11	through	through	ADP
ejpam-6749	241	12	the	the	DET
ejpam-6749	241	13	algebraic	algebraic	ADJ
ejpam-6749	241	14	relationship	relationship	NOUN
ejpam-6749	241	15	q∗	q∗	NOUN
ejpam-6749	241	16	=	=	SYM
ejpam-6749	241	17	γs∗	γs∗	X
ejpam-6749	241	18	µ	µ	X
ejpam-6749	241	19	=	=	SYM
ejpam-6749	241	20	γλ	γλ	PROPN
ejpam-6749	241	21	µ(µ+	µ(µ+	PROPN
ejpam-6749	241	22	γ	γ	NOUN
ejpam-6749	241	23	)	)	PUNCT
ejpam-6749	241	24	.	.	PUNCT
ejpam-6749	242	1	uniqueness	uniqueness	PROPN
ejpam-6749	242	2	follows	follow	VERB
ejpam-6749	242	3	from	from	ADP
ejpam-6749	242	4	the	the	DET
ejpam-6749	242	5	linear	linear	ADJ
ejpam-6749	242	6	independence	independence	NOUN
ejpam-6749	242	7	of	of	ADP
ejpam-6749	242	8	the	the	DET
ejpam-6749	242	9	simplified	simplified	ADJ
ejpam-6749	242	10	equilibrium	equilibrium	NOUN
ejpam-6749	242	11	equations	equation	NOUN
ejpam-6749	242	12	when	when	SCONJ
ejpam-6749	242	13	t	t	PROPN
ejpam-6749	242	14	∗	∗	X
ejpam-6749	242	15	=	=	SYM
ejpam-6749	243	1	0	0	X
ejpam-6749	243	2	.	.	PUNCT
ejpam-6749	244	1	the	the	DET
ejpam-6749	244	2	coefficient	coefficient	NOUN
ejpam-6749	244	3	matrix	matrix	NOUN
ejpam-6749	244	4	of	of	ADP
ejpam-6749	244	5	the	the	DET
ejpam-6749	244	6	linear	linear	ADJ
ejpam-6749	244	7	system	system	NOUN
ejpam-6749	244	8	has	have	VERB
ejpam-6749	244	9	full	full	ADJ
ejpam-6749	244	10	rank	rank	NOUN
ejpam-6749	244	11	since	since	SCONJ
ejpam-6749	244	12	µ	µ	X
ejpam-6749	244	13	>	>	SYM
ejpam-6749	244	14	0	0	NUM
ejpam-6749	244	15	and	and	CCONJ
ejpam-6749	244	16	µ	µ	NOUN
ejpam-6749	244	17	+	+	CCONJ
ejpam-6749	244	18	γ	γ	X
ejpam-6749	244	19	>	>	X
ejpam-6749	244	20	0	0	NUM
ejpam-6749	244	21	by	by	ADP
ejpam-6749	244	22	our	our	PRON
ejpam-6749	244	23	parameter	parameter	NOUN
ejpam-6749	244	24	assumptions	assumption	NOUN
ejpam-6749	244	25	,	,	PUNCT
ejpam-6749	244	26	ensuring	ensure	VERB
ejpam-6749	244	27	that	that	SCONJ
ejpam-6749	244	28	the	the	DET
ejpam-6749	244	29	terrorism	terrorism	NOUN
ejpam-6749	244	30	-	-	PUNCT
ejpam-6749	244	31	free	free	ADJ
ejpam-6749	244	32	equilibrium	equilibrium	NOUN
ejpam-6749	244	33	is	be	AUX
ejpam-6749	244	34	the	the	DET
ejpam-6749	244	35	unique	unique	ADJ
ejpam-6749	244	36	solution	solution	NOUN
ejpam-6749	244	37	to	to	ADP
ejpam-6749	244	38	this	this	DET
ejpam-6749	244	39	subsystem	subsystem	NOUN
ejpam-6749	244	40	.	.	PUNCT
ejpam-6749	245	1	this	this	DET
ejpam-6749	245	2	conclusion	conclusion	NOUN
ejpam-6749	245	3	follows	follow	VERB
ejpam-6749	245	4	from	from	ADP
ejpam-6749	245	5	standard	standard	ADJ
ejpam-6749	245	6	results	result	NOUN
ejpam-6749	245	7	in	in	ADP
ejpam-6749	245	8	linear	linear	ADJ
ejpam-6749	245	9	algebra	algebra	NOUN
ejpam-6749	245	10	regarding	regard	VERB
ejpam-6749	245	11	the	the	DET
ejpam-6749	245	12	existence	existence	NOUN
ejpam-6749	245	13	and	and	CCONJ
ejpam-6749	245	14	uniqueness	uniqueness	NOUN
ejpam-6749	245	15	of	of	ADP
ejpam-6749	245	16	solutions	solution	NOUN
ejpam-6749	245	17	to	to	ADP
ejpam-6749	245	18	linear	linear	PROPN
ejpam-6749	245	19	systems	system	NOUN
ejpam-6749	245	20	(	(	PUNCT
ejpam-6749	245	21	see	see	VERB
ejpam-6749	245	22	strang	strang	PROPN
ejpam-6749	246	1	[	[	X
ejpam-6749	246	2	48	48	NUM
ejpam-6749	246	3	]	]	PUNCT
ejpam-6749	246	4	)	)	PUNCT
ejpam-6749	246	5	.	.	PUNCT
ejpam-6749	247	1	4.2	4.2	NUM
ejpam-6749	247	2	.	.	PUNCT
ejpam-6749	247	3	basic	basic	ADJ
ejpam-6749	247	4	reproduction	reproduction	NOUN
ejpam-6749	247	5	number	number	NOUN
ejpam-6749	247	6	the	the	DET
ejpam-6749	247	7	basic	basic	ADJ
ejpam-6749	247	8	reproduction	reproduction	NOUN
ejpam-6749	247	9	number	number	NOUN
ejpam-6749	247	10	represents	represent	VERB
ejpam-6749	247	11	the	the	DET
ejpam-6749	247	12	expected	expect	VERB
ejpam-6749	247	13	number	number	NOUN
ejpam-6749	247	14	of	of	ADP
ejpam-6749	247	15	secondary	secondary	ADJ
ejpam-6749	247	16	cases	case	NOUN
ejpam-6749	247	17	generated	generate	VERB
ejpam-6749	247	18	by	by	ADP
ejpam-6749	247	19	a	a	DET
ejpam-6749	247	20	single	single	ADJ
ejpam-6749	247	21	infected	infected	ADJ
ejpam-6749	247	22	individual	individual	NOUN
ejpam-6749	247	23	in	in	ADP
ejpam-6749	247	24	a	a	DET
ejpam-6749	247	25	completely	completely	ADV
ejpam-6749	247	26	susceptible	susceptible	ADJ
ejpam-6749	247	27	population	population	NOUN
ejpam-6749	247	28	,	,	PUNCT
ejpam-6749	247	29	a	a	DET
ejpam-6749	247	30	concept	concept	NOUN
ejpam-6749	247	31	originally	originally	ADV
ejpam-6749	247	32	developed	develop	VERB
ejpam-6749	247	33	by	by	ADP
ejpam-6749	247	34	macdonald	macdonald	PROPN
ejpam-6749	248	1	[	[	X
ejpam-6749	248	2	49	49	NUM
ejpam-6749	248	3	]	]	PUNCT
ejpam-6749	248	4	for	for	ADP
ejpam-6749	248	5	malaria	malaria	NOUN
ejpam-6749	248	6	transmission	transmission	NOUN
ejpam-6749	248	7	and	and	CCONJ
ejpam-6749	248	8	subsequently	subsequently	ADV
ejpam-6749	248	9	generalized	generalize	VERB
ejpam-6749	248	10	by	by	ADP
ejpam-6749	248	11	diekmann	diekmann	NOUN
ejpam-6749	248	12	and	and	CCONJ
ejpam-6749	248	13	heesterbeek	heesterbeek	VERB
ejpam-6749	249	1	[	[	X
ejpam-6749	249	2	50	50	NUM
ejpam-6749	249	3	]	]	PUNCT
ejpam-6749	249	4	.	.	PUNCT
ejpam-6749	250	1	for	for	ADP
ejpam-6749	250	2	terrorism	terrorism	NOUN
ejpam-6749	250	3	models	model	NOUN
ejpam-6749	250	4	,	,	PUNCT
ejpam-6749	250	5	this	this	PRON
ejpam-6749	250	6	translates	translate	VERB
ejpam-6749	250	7	to	to	ADP
ejpam-6749	250	8	the	the	DET
ejpam-6749	250	9	expected	expect	VERB
ejpam-6749	250	10	number	number	NOUN
ejpam-6749	250	11	of	of	ADP
ejpam-6749	250	12	new	new	ADJ
ejpam-6749	250	13	terrorists	terrorist	NOUN
ejpam-6749	250	14	created	create	VERB
ejpam-6749	250	15	by	by	ADP
ejpam-6749	250	16	a	a	DET
ejpam-6749	250	17	single	single	ADJ
ejpam-6749	250	18	terrorist	terrorist	NOUN
ejpam-6749	250	19	during	during	ADP
ejpam-6749	250	20	their	their	PRON
ejpam-6749	250	21	entire	entire	ADJ
ejpam-6749	250	22	period	period	NOUN
ejpam-6749	250	23	of	of	ADP
ejpam-6749	250	24	terrorist	terrorist	ADJ
ejpam-6749	250	25	activity	activity	NOUN
ejpam-6749	250	26	when	when	SCONJ
ejpam-6749	250	27	introduced	introduce	VERB
ejpam-6749	250	28	into	into	ADP
ejpam-6749	250	29	a	a	DET
ejpam-6749	250	30	completely	completely	ADV
ejpam-6749	250	31	susceptible	susceptible	ADJ
ejpam-6749	250	32	population	population	NOUN
ejpam-6749	250	33	.	.	PUNCT
ejpam-6749	251	1	theorem	theorem	VERB
ejpam-6749	251	2	3	3	NUM
ejpam-6749	251	3	.	.	PUNCT
ejpam-6749	252	1	the	the	DET
ejpam-6749	252	2	basic	basic	ADJ
ejpam-6749	252	3	reproduction	reproduction	NOUN
ejpam-6749	252	4	number	number	NOUN
ejpam-6749	252	5	for	for	ADP
ejpam-6749	252	6	system	system	NOUN
ejpam-6749	252	7	(	(	PUNCT
ejpam-6749	252	8	1	1	X
ejpam-6749	252	9	)	)	PUNCT
ejpam-6749	252	10	is	be	AUX
ejpam-6749	252	11	r0	r0	NOUN
ejpam-6749	252	12	=	=	SYM
ejpam-6749	252	13	βλ	βλ	X
ejpam-6749	252	14	(	(	PUNCT
ejpam-6749	252	15	φ+	φ+	X
ejpam-6749	252	16	δ	δ	PROPN
ejpam-6749	253	1	+	+	CCONJ
ejpam-6749	253	2	µ)(µ+	µ)(µ+	PROPN
ejpam-6749	253	3	γ	γ	X
ejpam-6749	253	4	)	)	PUNCT
ejpam-6749	253	5	.	.	PUNCT
ejpam-6749	254	1	proof	proof	NOUN
ejpam-6749	254	2	.	.	PUNCT
ejpam-6749	255	1	we	we	PRON
ejpam-6749	255	2	apply	apply	VERB
ejpam-6749	255	3	the	the	DET
ejpam-6749	255	4	next	next	ADJ
ejpam-6749	255	5	-	-	PUNCT
ejpam-6749	255	6	generation	generation	NOUN
ejpam-6749	255	7	matrix	matrix	NOUN
ejpam-6749	255	8	approach	approach	NOUN
ejpam-6749	255	9	systematically	systematically	ADV
ejpam-6749	255	10	developed	develop	VERB
ejpam-6749	255	11	by	by	ADP
ejpam-6749	255	12	van	van	PROPN
ejpam-6749	255	13	den	den	PROPN
ejpam-6749	255	14	driessche	driessche	NOUN
ejpam-6749	255	15	and	and	CCONJ
ejpam-6749	255	16	watmough	watmough	NOUN
ejpam-6749	255	17	[	[	X
ejpam-6749	255	18	43	43	NUM
ejpam-6749	255	19	]	]	PUNCT
ejpam-6749	255	20	,	,	PUNCT
ejpam-6749	255	21	which	which	PRON
ejpam-6749	255	22	provides	provide	VERB
ejpam-6749	255	23	a	a	DET
ejpam-6749	255	24	unified	unified	ADJ
ejpam-6749	255	25	framework	framework	NOUN
ejpam-6749	255	26	for	for	ADP
ejpam-6749	255	27	computing	compute	VERB
ejpam-6749	255	28	reproduction	reproduction	NOUN
ejpam-6749	255	29	numbers	number	NOUN
ejpam-6749	255	30	in	in	ADP
ejpam-6749	255	31	compartmental	compartmental	ADJ
ejpam-6749	255	32	models	model	NOUN
ejpam-6749	255	33	.	.	PUNCT
ejpam-6749	256	1	this	this	DET
ejpam-6749	256	2	method	method	NOUN
ejpam-6749	256	3	has	have	AUX
ejpam-6749	256	4	been	be	AUX
ejpam-6749	256	5	extensively	extensively	ADV
ejpam-6749	256	6	validated	validate	VERB
ejpam-6749	256	7	and	and	CCONJ
ejpam-6749	256	8	applied	apply	VERB
ejpam-6749	256	9	across	across	ADP
ejpam-6749	256	10	diverse	diverse	ADJ
ejpam-6749	256	11	epidemiological	epidemiological	ADJ
ejpam-6749	256	12	contexts	contexts	NOUN
ejpam-6749	256	13	,	,	PUNCT
ejpam-6749	256	14	as	as	SCONJ
ejpam-6749	256	15	surveyed	survey	VERB
ejpam-6749	256	16	by	by	ADP
ejpam-6749	256	17	heffernan	heffernan	PROPN
ejpam-6749	256	18	,	,	PUNCT
ejpam-6749	256	19	smith	smith	PROPN
ejpam-6749	256	20	,	,	PUNCT
ejpam-6749	256	21	and	and	CCONJ
ejpam-6749	256	22	wahl	wahl	VERB
ejpam-6749	257	1	[	[	X
ejpam-6749	257	2	51	51	NUM
ejpam-6749	257	3	]	]	PUNCT
ejpam-6749	257	4	.	.	PUNCT
ejpam-6749	258	1	m.	m.	NOUN
ejpam-6749	258	2	zorom	zorom	NOUN
ejpam-6749	258	3	et	et	PROPN
ejpam-6749	258	4	al	al	PROPN
ejpam-6749	258	5	.	.	PUNCT
ejpam-6749	258	6	/	/	SYM
ejpam-6749	258	7	eur	eur	PROPN
ejpam-6749	258	8	.	.	PUNCT
ejpam-6749	259	1	j.	j.	PROPN
ejpam-6749	259	2	pure	pure	PROPN
ejpam-6749	259	3	appl	appl	PROPN
ejpam-6749	259	4	.	.	PROPN
ejpam-6749	259	5	math	math	PROPN
ejpam-6749	259	6	,	,	PUNCT
ejpam-6749	259	7	18	18	NUM
ejpam-6749	259	8	(	(	PUNCT
ejpam-6749	259	9	4	4	NUM
ejpam-6749	259	10	)	)	PUNCT
ejpam-6749	259	11	(	(	PUNCT
ejpam-6749	259	12	2025	2025	NUM
ejpam-6749	259	13	)	)	PUNCT
ejpam-6749	259	14	,	,	PUNCT
ejpam-6749	259	15	6749	6749	NUM
ejpam-6749	259	16	12	12	NUM
ejpam-6749	259	17	of	of	ADP
ejpam-6749	259	18	47	47	NUM
ejpam-6749	259	19	the	the	DET
ejpam-6749	259	20	next	next	ADJ
ejpam-6749	259	21	-	-	PUNCT
ejpam-6749	259	22	generation	generation	NOUN
ejpam-6749	259	23	approach	approach	NOUN
ejpam-6749	259	24	requires	require	VERB
ejpam-6749	259	25	decomposition	decomposition	NOUN
ejpam-6749	259	26	of	of	ADP
ejpam-6749	259	27	the	the	DET
ejpam-6749	259	28	infected	infect	VERB
ejpam-6749	259	29	compartment	compartment	NOUN
ejpam-6749	259	30	dynamics	dynamic	NOUN
ejpam-6749	259	31	into	into	ADP
ejpam-6749	259	32	new	new	ADJ
ejpam-6749	259	33	infection	infection	NOUN
ejpam-6749	259	34	processes	process	NOUN
ejpam-6749	259	35	and	and	CCONJ
ejpam-6749	259	36	transition	transition	NOUN
ejpam-6749	259	37	processes	process	NOUN
ejpam-6749	259	38	.	.	PUNCT
ejpam-6749	260	1	in	in	ADP
ejpam-6749	260	2	our	our	PRON
ejpam-6749	260	3	terrorism	terrorism	NOUN
ejpam-6749	260	4	model	model	NOUN
ejpam-6749	260	5	,	,	PUNCT
ejpam-6749	260	6	we	we	PRON
ejpam-6749	260	7	identify	identify	VERB
ejpam-6749	260	8	the	the	DET
ejpam-6749	260	9	terrorist	terrorist	ADJ
ejpam-6749	260	10	compartment	compartment	NOUN
ejpam-6749	260	11	t	t	PROPN
ejpam-6749	260	12	as	as	ADP
ejpam-6749	260	13	the	the	DET
ejpam-6749	260	14	infected	infected	ADJ
ejpam-6749	260	15	class	class	NOUN
ejpam-6749	260	16	,	,	PUNCT
ejpam-6749	260	17	analogous	analogous	ADJ
ejpam-6749	260	18	to	to	ADP
ejpam-6749	260	19	the	the	DET
ejpam-6749	260	20	infectious	infectious	ADJ
ejpam-6749	260	21	compartment	compartment	NOUN
ejpam-6749	260	22	in	in	ADP
ejpam-6749	260	23	epidemiological	epidemiological	ADJ
ejpam-6749	260	24	models	model	NOUN
ejpam-6749	260	25	.	.	PUNCT
ejpam-6749	261	1	following	follow	VERB
ejpam-6749	261	2	the	the	DET
ejpam-6749	261	3	notation	notation	NOUN
ejpam-6749	261	4	of	of	ADP
ejpam-6749	261	5	van	van	PROPN
ejpam-6749	261	6	den	den	PROPN
ejpam-6749	261	7	driessche	driessche	NOUN
ejpam-6749	261	8	and	and	CCONJ
ejpam-6749	261	9	watmough	watmough	NOUN
ejpam-6749	261	10	[	[	X
ejpam-6749	261	11	43	43	NUM
ejpam-6749	261	12	]	]	PUNCT
ejpam-6749	261	13	,	,	PUNCT
ejpam-6749	261	14	we	we	PRON
ejpam-6749	261	15	define	define	VERB
ejpam-6749	261	16	fi	fi	NOUN
ejpam-6749	261	17	as	as	ADP
ejpam-6749	261	18	the	the	DET
ejpam-6749	261	19	rate	rate	NOUN
ejpam-6749	261	20	of	of	ADP
ejpam-6749	261	21	appearance	appearance	NOUN
ejpam-6749	261	22	of	of	ADP
ejpam-6749	261	23	new	new	ADJ
ejpam-6749	261	24	infections	infection	NOUN
ejpam-6749	261	25	in	in	ADP
ejpam-6749	261	26	compartment	compartment	NOUN
ejpam-6749	261	27	i	i	PRON
ejpam-6749	261	28	,	,	PUNCT
ejpam-6749	261	29	and	and	CCONJ
ejpam-6749	261	30	vi	vi	VERB
ejpam-6749	261	31	as	as	ADP
ejpam-6749	261	32	the	the	DET
ejpam-6749	261	33	net	net	ADJ
ejpam-6749	261	34	rate	rate	NOUN
ejpam-6749	261	35	of	of	ADP
ejpam-6749	261	36	transfer	transfer	NOUN
ejpam-6749	261	37	of	of	ADP
ejpam-6749	261	38	individuals	individual	NOUN
ejpam-6749	261	39	out	out	ADP
ejpam-6749	261	40	of	of	ADP
ejpam-6749	261	41	compartment	compartment	NOUN
ejpam-6749	261	42	i	i	PRON
ejpam-6749	261	43	by	by	ADP
ejpam-6749	261	44	all	all	DET
ejpam-6749	261	45	other	other	ADJ
ejpam-6749	261	46	means	mean	NOUN
ejpam-6749	261	47	.	.	PUNCT
ejpam-6749	262	1	for	for	ADP
ejpam-6749	262	2	our	our	PRON
ejpam-6749	262	3	system	system	NOUN
ejpam-6749	262	4	,	,	PUNCT
ejpam-6749	262	5	these	these	DET
ejpam-6749	262	6	functions	function	NOUN
ejpam-6749	262	7	are	be	AUX
ejpam-6749	262	8	:	:	PUNCT
ejpam-6749	262	9	f(s	f(s	PROPN
ejpam-6749	262	10	,	,	PUNCT
ejpam-6749	262	11	t	t	PROPN
ejpam-6749	262	12	,	,	PUNCT
ejpam-6749	262	13	q	q	NOUN
ejpam-6749	262	14	)	)	PUNCT
ejpam-6749	262	15	=	=	SYM
ejpam-6749	262	16	βst	βst	PROPN
ejpam-6749	262	17	,	,	PUNCT
ejpam-6749	262	18	which	which	PRON
ejpam-6749	262	19	represents	represent	VERB
ejpam-6749	262	20	the	the	DET
ejpam-6749	262	21	rate	rate	NOUN
ejpam-6749	262	22	at	at	ADP
ejpam-6749	262	23	which	which	PRON
ejpam-6749	262	24	susceptible	susceptible	ADJ
ejpam-6749	262	25	individuals	individual	NOUN
ejpam-6749	262	26	become	become	VERB
ejpam-6749	262	27	terrorists	terrorist	NOUN
ejpam-6749	262	28	through	through	ADP
ejpam-6749	262	29	ideological	ideological	ADJ
ejpam-6749	262	30	transmission	transmission	NOUN
ejpam-6749	262	31	,	,	PUNCT
ejpam-6749	262	32	and	and	CCONJ
ejpam-6749	262	33	v(s	v(s	PROPN
ejpam-6749	262	34	,	,	PUNCT
ejpam-6749	262	35	t	t	PROPN
ejpam-6749	262	36	,	,	PUNCT
ejpam-6749	262	37	q	q	NOUN
ejpam-6749	262	38	)	)	PUNCT
ejpam-6749	262	39	=	=	SYM
ejpam-6749	262	40	(	(	PUNCT
ejpam-6749	262	41	φ+	φ+	X
ejpam-6749	262	42	δ	δ	X
ejpam-6749	262	43	+	+	CCONJ
ejpam-6749	262	44	µ)t	µ)t	NOUN
ejpam-6749	262	45	,	,	PUNCT
ejpam-6749	262	46	which	which	PRON
ejpam-6749	262	47	encompasses	encompass	VERB
ejpam-6749	262	48	all	all	DET
ejpam-6749	262	49	processes	process	NOUN
ejpam-6749	262	50	removing	remove	VERB
ejpam-6749	262	51	individuals	individual	NOUN
ejpam-6749	262	52	from	from	ADP
ejpam-6749	262	53	the	the	DET
ejpam-6749	262	54	terrorist	terrorist	ADJ
ejpam-6749	262	55	compartment	compartment	NOUN
ejpam-6749	262	56	:	:	PUNCT
ejpam-6749	262	57	deradicalization	deradicalization	NOUN
ejpam-6749	262	58	(	(	PUNCT
ejpam-6749	262	59	φt	φt	NOUN
ejpam-6749	262	60	)	)	PUNCT
ejpam-6749	262	61	,	,	PUNCT
ejpam-6749	262	62	elimination	elimination	NOUN
ejpam-6749	262	63	through	through	ADP
ejpam-6749	262	64	counterterrorism	counterterrorism	NOUN
ejpam-6749	262	65	operations	operation	NOUN
ejpam-6749	262	66	(	(	PUNCT
ejpam-6749	262	67	δt	δt	NOUN
ejpam-6749	262	68	)	)	PUNCT
ejpam-6749	262	69	,	,	PUNCT
ejpam-6749	262	70	and	and	CCONJ
ejpam-6749	262	71	natural	natural	ADJ
ejpam-6749	262	72	mortality	mortality	NOUN
ejpam-6749	262	73	(	(	PUNCT
ejpam-6749	262	74	µt	µt	PROPN
ejpam-6749	262	75	)	)	PUNCT
ejpam-6749	262	76	.	.	PUNCT
ejpam-6749	263	1	the	the	DET
ejpam-6749	263	2	next	next	ADJ
ejpam-6749	263	3	-	-	PUNCT
ejpam-6749	263	4	generation	generation	NOUN
ejpam-6749	263	5	matrices	matrix	NOUN
ejpam-6749	263	6	f	f	PROPN
ejpam-6749	263	7	and	and	CCONJ
ejpam-6749	263	8	v	v	NOUN
ejpam-6749	263	9	are	be	AUX
ejpam-6749	263	10	defined	define	VERB
ejpam-6749	263	11	as	as	ADP
ejpam-6749	263	12	the	the	DET
ejpam-6749	263	13	jacobian	jacobian	ADJ
ejpam-6749	263	14	matrices	matrix	NOUN
ejpam-6749	263	15	of	of	ADP
ejpam-6749	263	16	f	f	PROPN
ejpam-6749	263	17	and	and	CCONJ
ejpam-6749	263	18	v	v	X
ejpam-6749	263	19	with	with	ADP
ejpam-6749	263	20	respect	respect	NOUN
ejpam-6749	263	21	to	to	ADP
ejpam-6749	263	22	the	the	DET
ejpam-6749	263	23	infected	infected	ADJ
ejpam-6749	263	24	variables	variable	NOUN
ejpam-6749	263	25	,	,	PUNCT
ejpam-6749	263	26	evaluated	evaluate	VERB
ejpam-6749	263	27	at	at	ADP
ejpam-6749	263	28	the	the	DET
ejpam-6749	263	29	terrorism	terrorism	NOUN
ejpam-6749	263	30	-	-	PUNCT
ejpam-6749	263	31	free	free	ADJ
ejpam-6749	263	32	equilibrium	equilibrium	NOUN
ejpam-6749	263	33	.	.	PUNCT
ejpam-6749	264	1	since	since	SCONJ
ejpam-6749	264	2	t	t	PROPN
ejpam-6749	264	3	is	be	AUX
ejpam-6749	264	4	our	our	PRON
ejpam-6749	264	5	only	only	ADJ
ejpam-6749	264	6	infected	infected	ADJ
ejpam-6749	264	7	compartment	compartment	NOUN
ejpam-6749	264	8	,	,	PUNCT
ejpam-6749	264	9	these	these	PRON
ejpam-6749	264	10	become	become	VERB
ejpam-6749	264	11	scalar	scalar	ADJ
ejpam-6749	264	12	quantities	quantity	NOUN
ejpam-6749	264	13	:	:	PUNCT
ejpam-6749	265	1	f	f	X
ejpam-6749	265	2	=	=	SYM
ejpam-6749	265	3	∂f	∂f	PROPN
ejpam-6749	265	4	∂t	∂t	PROPN
ejpam-6749	265	5	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6749	265	6	e0	e0	PROPN
ejpam-6749	265	7	=	=	PUNCT
ejpam-6749	265	8	βs∗	βs∗	NOUN
ejpam-6749	265	9	0	0	NUM
ejpam-6749	265	10	where	where	SCONJ
ejpam-6749	265	11	s∗	s∗	PROPN
ejpam-6749	265	12	0	0	NUM
ejpam-6749	265	13	=	=	SYM
ejpam-6749	265	14	λ	λ	NOUN
ejpam-6749	265	15	µ+γ	µ+γ	NUM
ejpam-6749	265	16	is	be	AUX
ejpam-6749	265	17	the	the	DET
ejpam-6749	265	18	susceptible	susceptible	ADJ
ejpam-6749	265	19	population	population	NOUN
ejpam-6749	265	20	at	at	ADP
ejpam-6749	265	21	terrorism	terrorism	NOUN
ejpam-6749	265	22	-	-	PUNCT
ejpam-6749	265	23	free	free	ADJ
ejpam-6749	265	24	equilibrium	equilibrium	NOUN
ejpam-6749	265	25	from	from	ADP
ejpam-6749	265	26	2	2	NUM
ejpam-6749	265	27	,	,	PUNCT
ejpam-6749	265	28	and	and	CCONJ
ejpam-6749	265	29	v	v	X
ejpam-6749	265	30	=	=	SYM
ejpam-6749	265	31	∂v	∂v	PROPN
ejpam-6749	265	32	∂t	∂t	PROPN
ejpam-6749	265	33	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6749	265	34	e0	e0	PROPN
ejpam-6749	265	35	=	=	PUNCT
ejpam-6749	265	36	φ+	φ+	X
ejpam-6749	265	37	δ	δ	PROPN
ejpam-6749	265	38	+	+	CCONJ
ejpam-6749	265	39	µ.	µ.	NOUN
ejpam-6749	265	40	substituting	substitute	VERB
ejpam-6749	265	41	the	the	DET
ejpam-6749	265	42	expression	expression	NOUN
ejpam-6749	265	43	for	for	ADP
ejpam-6749	265	44	s∗	s∗	PROPN
ejpam-6749	265	45	0	0	NUM
ejpam-6749	265	46	:	:	PUNCT
ejpam-6749	265	47	f	f	X
ejpam-6749	265	48	=	=	PUNCT
ejpam-6749	265	49	β	β	X
ejpam-6749	265	50	·	·	PUNCT
ejpam-6749	265	51	λ	λ	X
ejpam-6749	265	52	µ+	µ+	X
ejpam-6749	265	53	γ	γ	X
ejpam-6749	265	54	=	=	SYM
ejpam-6749	265	55	βλ	βλ	PROPN
ejpam-6749	265	56	µ+	µ+	X
ejpam-6749	265	57	γ	γ	X
ejpam-6749	265	58	.	.	PUNCT
ejpam-6749	266	1	the	the	DET
ejpam-6749	266	2	basic	basic	ADJ
ejpam-6749	266	3	reproduction	reproduction	NOUN
ejpam-6749	266	4	number	number	NOUN
ejpam-6749	266	5	is	be	AUX
ejpam-6749	266	6	computed	compute	VERB
ejpam-6749	266	7	as	as	ADP
ejpam-6749	266	8	the	the	DET
ejpam-6749	266	9	spectral	spectral	ADJ
ejpam-6749	266	10	radius	radius	NOUN
ejpam-6749	266	11	of	of	ADP
ejpam-6749	266	12	the	the	DET
ejpam-6749	266	13	next	next	ADJ
ejpam-6749	266	14	-	-	PUNCT
ejpam-6749	266	15	generation	generation	NOUN
ejpam-6749	266	16	matrix	matrix	NOUN
ejpam-6749	266	17	fv	fv	SYM
ejpam-6749	266	18	−1	−1	NOUN
ejpam-6749	266	19	(	(	PUNCT
ejpam-6749	266	20	see	see	VERB
ejpam-6749	266	21	van	van	PROPN
ejpam-6749	266	22	den	den	PROPN
ejpam-6749	266	23	driessche	driessche	NOUN
ejpam-6749	266	24	and	and	CCONJ
ejpam-6749	266	25	watmough	watmough	NOUN
ejpam-6749	266	26	[	[	X
ejpam-6749	266	27	43	43	NUM
ejpam-6749	266	28	]	]	PUNCT
ejpam-6749	266	29	)	)	PUNCT
ejpam-6749	266	30	.	.	PUNCT
ejpam-6749	267	1	since	since	SCONJ
ejpam-6749	267	2	we	we	PRON
ejpam-6749	267	3	have	have	VERB
ejpam-6749	267	4	scalar	scalar	ADJ
ejpam-6749	267	5	quantities	quantity	NOUN
ejpam-6749	267	6	:	:	PUNCT
ejpam-6749	267	7	r0	r0	NOUN
ejpam-6749	267	8	=	=	SYM
ejpam-6749	267	9	fv	fv	PART
ejpam-6749	267	10	−1	−1	NOUN
ejpam-6749	268	1	=	=	SYM
ejpam-6749	268	2	βλ	βλ	PROPN
ejpam-6749	268	3	(	(	PUNCT
ejpam-6749	268	4	µ+	µ+	X
ejpam-6749	268	5	γ	γ	X
ejpam-6749	268	6	)	)	PUNCT
ejpam-6749	268	7	·	·	PUNCT
ejpam-6749	268	8	1	1	NUM
ejpam-6749	268	9	φ+	φ+	X
ejpam-6749	268	10	δ	δ	PROPN
ejpam-6749	268	11	+	+	X
ejpam-6749	268	12	µ	µ	X
ejpam-6749	268	13	=	=	X
ejpam-6749	268	14	βλ	βλ	X
ejpam-6749	268	15	(	(	PUNCT
ejpam-6749	268	16	φ+	φ+	X
ejpam-6749	268	17	δ	δ	PROPN
ejpam-6749	268	18	+	+	CCONJ
ejpam-6749	268	19	µ)(µ+	µ)(µ+	PROPN
ejpam-6749	268	20	γ	γ	NOUN
ejpam-6749	268	21	)	)	PUNCT
ejpam-6749	268	22	.	.	PUNCT
ejpam-6749	269	1	4.3	4.3	NUM
ejpam-6749	269	2	.	.	PUNCT
ejpam-6749	269	3	endemic	endemic	ADJ
ejpam-6749	269	4	equilibrium	equilibrium	NOUN
ejpam-6749	269	5	when	when	SCONJ
ejpam-6749	269	6	r0	r0	NOUN
ejpam-6749	269	7	>	>	X
ejpam-6749	269	8	1	1	NUM
ejpam-6749	269	9	,	,	PUNCT
ejpam-6749	269	10	the	the	DET
ejpam-6749	269	11	system	system	NOUN
ejpam-6749	269	12	can	can	AUX
ejpam-6749	269	13	support	support	VERB
ejpam-6749	269	14	persistent	persistent	ADJ
ejpam-6749	269	15	terrorist	terrorist	ADJ
ejpam-6749	269	16	activity	activity	NOUN
ejpam-6749	269	17	,	,	PUNCT
ejpam-6749	269	18	leading	lead	VERB
ejpam-6749	269	19	to	to	ADP
ejpam-6749	269	20	the	the	DET
ejpam-6749	269	21	existence	existence	NOUN
ejpam-6749	269	22	of	of	ADP
ejpam-6749	269	23	endemic	endemic	ADJ
ejpam-6749	269	24	equilibria	equilibrium	NOUN
ejpam-6749	269	25	as	as	SCONJ
ejpam-6749	269	26	analyzed	analyze	VERB
ejpam-6749	269	27	in	in	ADP
ejpam-6749	269	28	the	the	DET
ejpam-6749	269	29	general	general	ADJ
ejpam-6749	269	30	framework	framework	NOUN
ejpam-6749	269	31	of	of	ADP
ejpam-6749	269	32	thieme	thieme	NOUN
ejpam-6749	269	33	[	[	X
ejpam-6749	269	34	32	32	NUM
ejpam-6749	269	35	]	]	PUNCT
ejpam-6749	269	36	for	for	ADP
ejpam-6749	269	37	structured	structured	ADJ
ejpam-6749	269	38	population	population	NOUN
ejpam-6749	269	39	models	model	NOUN
ejpam-6749	269	40	.	.	PUNCT
ejpam-6749	270	1	the	the	DET
ejpam-6749	270	2	mathematical	mathematical	ADJ
ejpam-6749	270	3	analysis	analysis	NOUN
ejpam-6749	270	4	of	of	ADP
ejpam-6749	270	5	endemic	endemic	ADJ
ejpam-6749	270	6	equilibria	equilibrium	NOUN
ejpam-6749	270	7	requires	require	VERB
ejpam-6749	270	8	algebraic	algebraic	ADJ
ejpam-6749	270	9	manipulation	manipulation	NOUN
ejpam-6749	270	10	due	due	ADP
ejpam-6749	270	11	to	to	ADP
ejpam-6749	270	12	the	the	DET
ejpam-6749	270	13	nonlinear	nonlinear	ADJ
ejpam-6749	270	14	coupling	coupling	NOUN
ejpam-6749	270	15	between	between	ADP
ejpam-6749	270	16	compartments	compartment	NOUN
ejpam-6749	270	17	,	,	PUNCT
ejpam-6749	270	18	following	follow	VERB
ejpam-6749	270	19	techniques	technique	NOUN
ejpam-6749	270	20	developed	develop	VERB
ejpam-6749	270	21	by	by	ADP
ejpam-6749	270	22	li	li	PROPN
ejpam-6749	270	23	and	and	CCONJ
ejpam-6749	270	24	muldowney	muldowney	NOUN
ejpam-6749	270	25	[	[	X
ejpam-6749	270	26	52	52	NUM
ejpam-6749	270	27	]	]	PUNCT
ejpam-6749	270	28	.	.	PUNCT
ejpam-6749	271	1	m.	m.	NOUN
ejpam-6749	271	2	zorom	zorom	NOUN
ejpam-6749	271	3	et	et	PROPN
ejpam-6749	271	4	al	al	PROPN
ejpam-6749	271	5	.	.	PUNCT
ejpam-6749	271	6	/	/	SYM
ejpam-6749	271	7	eur	eur	PROPN
ejpam-6749	271	8	.	.	PUNCT
ejpam-6749	272	1	j.	j.	PROPN
ejpam-6749	272	2	pure	pure	PROPN
ejpam-6749	272	3	appl	appl	PROPN
ejpam-6749	272	4	.	.	PROPN
ejpam-6749	272	5	math	math	PROPN
ejpam-6749	272	6	,	,	PUNCT
ejpam-6749	272	7	18	18	NUM
ejpam-6749	272	8	(	(	PUNCT
ejpam-6749	272	9	4	4	NUM
ejpam-6749	272	10	)	)	PUNCT
ejpam-6749	272	11	(	(	PUNCT
ejpam-6749	272	12	2025	2025	NUM
ejpam-6749	272	13	)	)	PUNCT
ejpam-6749	272	14	,	,	PUNCT
ejpam-6749	272	15	6749	6749	NUM
ejpam-6749	272	16	13	13	NUM
ejpam-6749	272	17	of	of	ADP
ejpam-6749	272	18	47	47	NUM
ejpam-6749	272	19	theorem	theorem	ADJ
ejpam-6749	272	20	4	4	NUM
ejpam-6749	272	21	.	.	PUNCT
ejpam-6749	272	22	system	system	NOUN
ejpam-6749	272	23	(	(	PUNCT
ejpam-6749	272	24	1	1	X
ejpam-6749	272	25	)	)	PUNCT
ejpam-6749	272	26	admits	admit	VERB
ejpam-6749	272	27	a	a	DET
ejpam-6749	272	28	unique	unique	ADJ
ejpam-6749	272	29	endemic	endemic	ADJ
ejpam-6749	272	30	equilibrium	equilibrium	NOUN
ejpam-6749	272	31	e∗	e∗	NOUN
ejpam-6749	272	32	=	=	SYM
ejpam-6749	272	33	(	(	PUNCT
ejpam-6749	272	34	s∗	s∗	PROPN
ejpam-6749	272	35	,	,	PUNCT
ejpam-6749	272	36	t	t	PROPN
ejpam-6749	272	37	∗	∗	NOUN
ejpam-6749	272	38	,	,	PUNCT
ejpam-6749	272	39	q∗	q∗	NOUN
ejpam-6749	272	40	)	)	PUNCT
ejpam-6749	272	41	with	with	ADP
ejpam-6749	272	42	t	t	PROPN
ejpam-6749	272	43	∗	∗	NOUN
ejpam-6749	272	44	>	>	X
ejpam-6749	272	45	0	0	PUNCT
ejpam-6749	273	1	if	if	SCONJ
ejpam-6749	273	2	and	and	CCONJ
ejpam-6749	273	3	only	only	ADV
ejpam-6749	273	4	if	if	SCONJ
ejpam-6749	273	5	r0	r0	NOUN
ejpam-6749	273	6	>	>	X
ejpam-6749	273	7	1	1	X
ejpam-6749	273	8	.	.	PUNCT
ejpam-6749	274	1	the	the	DET
ejpam-6749	274	2	endemic	endemic	ADJ
ejpam-6749	274	3	equilibrium	equilibrium	NOUN
ejpam-6749	274	4	is	be	AUX
ejpam-6749	274	5	explicitly	explicitly	ADV
ejpam-6749	274	6	given	give	VERB
ejpam-6749	274	7	by	by	ADP
ejpam-6749	274	8	s∗	s∗	PROPN
ejpam-6749	274	9	=	=	SYM
ejpam-6749	274	10	φ+	φ+	NOUN
ejpam-6749	274	11	δ	δ	PROPN
ejpam-6749	274	12	+	+	X
ejpam-6749	274	13	µ	µ	X
ejpam-6749	274	14	β	β	X
ejpam-6749	274	15	,	,	PUNCT
ejpam-6749	274	16	(	(	PUNCT
ejpam-6749	274	17	8)	8)	NUM
ejpam-6749	274	18	t	t	NOUN
ejpam-6749	274	19	∗	∗	NOUN
ejpam-6749	274	20	=	=	SYM
ejpam-6749	274	21	(	(	PUNCT
ejpam-6749	274	22	µ+	µ+	X
ejpam-6749	274	23	γ)(φ+	γ)(φ+	ADJ
ejpam-6749	274	24	δ	δ	PROPN
ejpam-6749	274	25	+	+	CCONJ
ejpam-6749	274	26	µ)(r0	µ)(r0	NOUN
ejpam-6749	274	27	−	−	NOUN
ejpam-6749	274	28	1	1	NUM
ejpam-6749	274	29	)	)	PUNCT
ejpam-6749	274	30	β(δ	β(δ	PROPN
ejpam-6749	275	1	+	+	CCONJ
ejpam-6749	275	2	µ	µ	X
ejpam-6749	275	3	)	)	PUNCT
ejpam-6749	275	4	+	+	NUM
ejpam-6749	275	5	k(φ+	k(φ+	PROPN
ejpam-6749	275	6	δ	δ	PROPN
ejpam-6749	275	7	+	+	X
ejpam-6749	275	8	µ	µ	X
ejpam-6749	275	9	)	)	PUNCT
ejpam-6749	275	10	,	,	PUNCT
ejpam-6749	275	11	(	(	PUNCT
ejpam-6749	275	12	9	9	X
ejpam-6749	275	13	)	)	PUNCT
ejpam-6749	275	14	q∗	q∗	NOUN
ejpam-6749	275	15	=	=	SYM
ejpam-6749	275	16	γ(φ+	γ(φ+	PROPN
ejpam-6749	275	17	δ	δ	PROPN
ejpam-6749	275	18	+	+	CCONJ
ejpam-6749	275	19	µ	µ	X
ejpam-6749	275	20	)	)	PUNCT
ejpam-6749	275	21	µβ	µβ	NOUN
ejpam-6749	275	22	.	.	PUNCT
ejpam-6749	276	1	(	(	PUNCT
ejpam-6749	276	2	10	10	NUM
ejpam-6749	276	3	)	)	PUNCT
ejpam-6749	276	4	proof	proof	NOUN
ejpam-6749	276	5	.	.	PUNCT
ejpam-6749	277	1	the	the	DET
ejpam-6749	277	2	proof	proof	NOUN
ejpam-6749	277	3	utilizes	utilize	VERB
ejpam-6749	277	4	algebraic	algebraic	ADJ
ejpam-6749	277	5	techniques	technique	NOUN
ejpam-6749	277	6	for	for	ADP
ejpam-6749	277	7	nonlinear	nonlinear	ADJ
ejpam-6749	277	8	systems	system	NOUN
ejpam-6749	277	9	as	as	SCONJ
ejpam-6749	277	10	developed	develop	VERB
ejpam-6749	277	11	by	by	ADP
ejpam-6749	277	12	burden	burden	NOUN
ejpam-6749	277	13	and	and	CCONJ
ejpam-6749	277	14	faires	faire	NOUN
ejpam-6749	277	15	[	[	X
ejpam-6749	277	16	53	53	NUM
ejpam-6749	277	17	]	]	PUNCT
ejpam-6749	277	18	,	,	PUNCT
ejpam-6749	277	19	combined	combine	VERB
ejpam-6749	277	20	with	with	ADP
ejpam-6749	277	21	existence	existence	NOUN
ejpam-6749	277	22	theory	theory	NOUN
ejpam-6749	277	23	for	for	ADP
ejpam-6749	277	24	polynomial	polynomial	ADJ
ejpam-6749	277	25	systems	system	NOUN
ejpam-6749	277	26	following	follow	VERB
ejpam-6749	277	27	the	the	DET
ejpam-6749	277	28	approach	approach	NOUN
ejpam-6749	277	29	of	of	ADP
ejpam-6749	277	30	sturmfels	sturmfel	NOUN
ejpam-6749	277	31	[	[	X
ejpam-6749	277	32	54	54	NUM
ejpam-6749	277	33	]	]	PUNCT
ejpam-6749	277	34	.	.	PUNCT
ejpam-6749	278	1	we	we	PRON
ejpam-6749	278	2	seek	seek	VERB
ejpam-6749	278	3	equilibrium	equilibrium	NOUN
ejpam-6749	278	4	solutions	solution	NOUN
ejpam-6749	278	5	with	with	ADP
ejpam-6749	278	6	t	t	PROPN
ejpam-6749	278	7	∗	∗	NOUN
ejpam-6749	278	8	>	>	X
ejpam-6749	278	9	0	0	NUM
ejpam-6749	278	10	,	,	PUNCT
ejpam-6749	278	11	representing	represent	VERB
ejpam-6749	278	12	persistent	persistent	ADJ
ejpam-6749	278	13	terrorist	terrorist	ADJ
ejpam-6749	278	14	activity	activity	NOUN
ejpam-6749	278	15	.	.	PUNCT
ejpam-6749	279	1	from	from	ADP
ejpam-6749	279	2	the	the	DET
ejpam-6749	279	3	equilibrium	equilibrium	NOUN
ejpam-6749	279	4	condition	condition	NOUN
ejpam-6749	279	5	corresponding	correspond	VERB
ejpam-6749	279	6	to	to	ADP
ejpam-6749	279	7	equation	equation	NOUN
ejpam-6749	279	8	(	(	PUNCT
ejpam-6749	279	9	6	6	NUM
ejpam-6749	279	10	)	)	PUNCT
ejpam-6749	279	11	,	,	PUNCT
ejpam-6749	279	12	we	we	PRON
ejpam-6749	279	13	have	have	VERB
ejpam-6749	279	14	βs∗t	βs∗t	ADP
ejpam-6749	279	15	∗	∗	NOUN
ejpam-6749	279	16	−	−	PROPN
ejpam-6749	280	1	(	(	PUNCT
ejpam-6749	280	2	φ+	φ+	X
ejpam-6749	280	3	δ	δ	X
ejpam-6749	280	4	+	+	CCONJ
ejpam-6749	280	5	µ)t	µ)t	NOUN
ejpam-6749	280	6	∗	∗	NOUN
ejpam-6749	280	7	=	=	SYM
ejpam-6749	280	8	0	0	X
ejpam-6749	280	9	.	.	PUNCT
ejpam-6749	281	1	since	since	SCONJ
ejpam-6749	281	2	we	we	PRON
ejpam-6749	281	3	require	require	VERB
ejpam-6749	281	4	t	t	PROPN
ejpam-6749	281	5	∗	∗	NOUN
ejpam-6749	281	6	>	>	X
ejpam-6749	281	7	0	0	NUM
ejpam-6749	281	8	,	,	PUNCT
ejpam-6749	281	9	we	we	PRON
ejpam-6749	281	10	can	can	AUX
ejpam-6749	281	11	divide	divide	VERB
ejpam-6749	281	12	both	both	DET
ejpam-6749	281	13	sides	side	NOUN
ejpam-6749	281	14	by	by	ADP
ejpam-6749	281	15	t	t	PROPN
ejpam-6749	281	16	∗	∗	NOUN
ejpam-6749	281	17	,	,	PUNCT
ejpam-6749	281	18	yielding	yield	VERB
ejpam-6749	281	19	the	the	DET
ejpam-6749	281	20	fundamental	fundamental	ADJ
ejpam-6749	281	21	relationship	relationship	NOUN
ejpam-6749	281	22	βs∗	βs∗	PUNCT
ejpam-6749	282	1	−	−	PROPN
ejpam-6749	282	2	(	(	PUNCT
ejpam-6749	282	3	φ+	φ+	X
ejpam-6749	282	4	δ	δ	PROPN
ejpam-6749	282	5	+	+	X
ejpam-6749	282	6	µ	µ	X
ejpam-6749	282	7	)	)	PUNCT
ejpam-6749	282	8	=	=	SYM
ejpam-6749	283	1	0	0	X
ejpam-6749	283	2	.	.	PUNCT
ejpam-6749	284	1	this	this	PRON
ejpam-6749	284	2	gives	give	VERB
ejpam-6749	284	3	us	we	PRON
ejpam-6749	284	4	the	the	DET
ejpam-6749	284	5	susceptible	susceptible	ADJ
ejpam-6749	284	6	population	population	NOUN
ejpam-6749	284	7	at	at	ADP
ejpam-6749	284	8	endemic	endemic	ADJ
ejpam-6749	284	9	equilibrium	equilibrium	NOUN
ejpam-6749	284	10	:	:	PUNCT
ejpam-6749	284	11	s∗	s∗	PROPN
ejpam-6749	284	12	=	=	SYM
ejpam-6749	284	13	φ+	φ+	NOUN
ejpam-6749	284	14	δ	δ	X
ejpam-6749	284	15	+	+	X
ejpam-6749	284	16	µ	µ	X
ejpam-6749	284	17	β	β	X
ejpam-6749	284	18	.	.	PUNCT
ejpam-6749	285	1	from	from	ADP
ejpam-6749	285	2	the	the	DET
ejpam-6749	285	3	equilibrium	equilibrium	NOUN
ejpam-6749	285	4	condition	condition	NOUN
ejpam-6749	285	5	corresponding	correspond	VERB
ejpam-6749	285	6	to	to	ADP
ejpam-6749	285	7	equation	equation	NOUN
ejpam-6749	285	8	(	(	PUNCT
ejpam-6749	285	9	7	7	NUM
ejpam-6749	285	10	)	)	PUNCT
ejpam-6749	285	11	,	,	PUNCT
ejpam-6749	285	12	we	we	PRON
ejpam-6749	285	13	can	can	AUX
ejpam-6749	285	14	express	express	VERB
ejpam-6749	285	15	the	the	DET
ejpam-6749	285	16	displaced	displace	VERB
ejpam-6749	285	17	population	population	NOUN
ejpam-6749	285	18	in	in	ADP
ejpam-6749	285	19	terms	term	NOUN
ejpam-6749	285	20	of	of	ADP
ejpam-6749	285	21	the	the	DET
ejpam-6749	285	22	susceptible	susceptible	ADJ
ejpam-6749	285	23	population	population	NOUN
ejpam-6749	285	24	:	:	PUNCT
ejpam-6749	285	25	q∗	q∗	NOUN
ejpam-6749	285	26	=	=	SYM
ejpam-6749	285	27	γs∗	γs∗	X
ejpam-6749	285	28	µ	µ	X
ejpam-6749	285	29	=	=	SYM
ejpam-6749	285	30	γ(φ+	γ(φ+	PROPN
ejpam-6749	285	31	δ	δ	PROPN
ejpam-6749	285	32	+	+	CCONJ
ejpam-6749	285	33	µ	µ	X
ejpam-6749	285	34	)	)	PUNCT
ejpam-6749	285	35	µβ	µβ	NOUN
ejpam-6749	285	36	.	.	PUNCT
ejpam-6749	286	1	to	to	PART
ejpam-6749	286	2	determine	determine	VERB
ejpam-6749	286	3	t	t	PROPN
ejpam-6749	286	4	∗	∗	NOUN
ejpam-6749	286	5	,	,	PUNCT
ejpam-6749	286	6	we	we	PRON
ejpam-6749	286	7	substitute	substitute	VERB
ejpam-6749	286	8	the	the	DET
ejpam-6749	286	9	expressions	expression	NOUN
ejpam-6749	286	10	for	for	ADP
ejpam-6749	286	11	s∗	s∗	NOUN
ejpam-6749	286	12	and	and	CCONJ
ejpam-6749	286	13	q∗	q∗	VERB
ejpam-6749	286	14	into	into	ADP
ejpam-6749	286	15	the	the	DET
ejpam-6749	286	16	equilibrium	equilibrium	NOUN
ejpam-6749	286	17	condition	condition	NOUN
ejpam-6749	286	18	corresponding	correspond	VERB
ejpam-6749	286	19	to	to	ADP
ejpam-6749	286	20	equation	equation	NOUN
ejpam-6749	286	21	(	(	PUNCT
ejpam-6749	286	22	5	5	NUM
ejpam-6749	286	23	):	):	PUNCT
ejpam-6749	286	24	λ−	λ−	PROPN
ejpam-6749	286	25	(	(	PUNCT
ejpam-6749	286	26	µ+	µ+	X
ejpam-6749	286	27	γ)s∗	γ)s∗	NUM
ejpam-6749	286	28	−	−	PROPN
ejpam-6749	286	29	(	(	PUNCT
ejpam-6749	286	30	β	β	X
ejpam-6749	286	31	+	+	X
ejpam-6749	286	32	k)s∗t	k)s∗t	NOUN
ejpam-6749	286	33	∗	∗	NOUN
ejpam-6749	286	34	+	+	CCONJ
ejpam-6749	286	35	φt	φt	NOUN
ejpam-6749	286	36	∗	∗	NOUN
ejpam-6749	286	37	=	=	SYM
ejpam-6749	286	38	0	0	X
ejpam-6749	286	39	.	.	PUNCT
ejpam-6749	286	40	substituting	substitute	VERB
ejpam-6749	286	41	s∗	s∗	PROPN
ejpam-6749	286	42	=	=	PUNCT
ejpam-6749	286	43	φ+δ+µ	φ+δ+µ	NOUN
ejpam-6749	286	44	β	β	X
ejpam-6749	286	45	and	and	CCONJ
ejpam-6749	286	46	rearranging	rearrange	VERB
ejpam-6749	286	47	:	:	PUNCT
ejpam-6749	286	48	λ−	λ−	PROPN
ejpam-6749	286	49	(	(	PUNCT
ejpam-6749	286	50	µ+	µ+	X
ejpam-6749	286	51	γ	γ	NOUN
ejpam-6749	286	52	)	)	PUNCT
ejpam-6749	286	53	φ+	φ+	NOUN
ejpam-6749	286	54	δ	δ	PROPN
ejpam-6749	286	55	+	+	X
ejpam-6749	286	56	µ	µ	X
ejpam-6749	286	57	β	β	X
ejpam-6749	286	58	−	−	PROPN
ejpam-6749	286	59	(	(	PUNCT
ejpam-6749	286	60	β	β	X
ejpam-6749	286	61	+	+	SYM
ejpam-6749	286	62	k	k	NOUN
ejpam-6749	286	63	)	)	PUNCT
ejpam-6749	287	1	φ+	φ+	VERB
ejpam-6749	287	2	δ	δ	PROPN
ejpam-6749	287	3	+	+	X
ejpam-6749	287	4	µ	µ	X
ejpam-6749	287	5	β	β	X
ejpam-6749	287	6	t	t	NOUN
ejpam-6749	287	7	∗	∗	NOUN
ejpam-6749	287	8	+	+	CCONJ
ejpam-6749	287	9	φt	φt	NOUN
ejpam-6749	287	10	∗	∗	NOUN
ejpam-6749	287	11	=	=	SYM
ejpam-6749	287	12	0	0	X
ejpam-6749	287	13	.	.	X
ejpam-6749	288	1	collecting	collect	VERB
ejpam-6749	288	2	terms	term	NOUN
ejpam-6749	288	3	involving	involve	VERB
ejpam-6749	288	4	t	t	PROPN
ejpam-6749	288	5	∗	∗	NOUN
ejpam-6749	288	6	:	:	PUNCT
ejpam-6749	288	7	t	t	NOUN
ejpam-6749	288	8	∗	∗	NOUN
ejpam-6749	288	9	[	[	PUNCT
ejpam-6749	288	10	(	(	PUNCT
ejpam-6749	288	11	β	β	X
ejpam-6749	288	12	+	+	SYM
ejpam-6749	288	13	k	k	NOUN
ejpam-6749	288	14	)	)	PUNCT
ejpam-6749	288	15	φ+	φ+	VERB
ejpam-6749	288	16	δ	δ	PROPN
ejpam-6749	288	17	+	+	X
ejpam-6749	288	18	µ	µ	X
ejpam-6749	288	19	β	β	X
ejpam-6749	288	20	−	−	PROPN
ejpam-6749	288	21	φ	φ	X
ejpam-6749	288	22	]	]	PUNCT
ejpam-6749	288	23	=	=	SYM
ejpam-6749	288	24	λ−	λ−	PROPN
ejpam-6749	288	25	(	(	PUNCT
ejpam-6749	288	26	µ+	µ+	X
ejpam-6749	288	27	γ	γ	NOUN
ejpam-6749	288	28	)	)	PUNCT
ejpam-6749	288	29	φ+	φ+	NOUN
ejpam-6749	288	30	δ	δ	PROPN
ejpam-6749	288	31	+	+	X
ejpam-6749	288	32	µ	µ	X
ejpam-6749	288	33	β	β	X
ejpam-6749	288	34	.	.	PUNCT
ejpam-6749	289	1	m.	m.	NOUN
ejpam-6749	289	2	zorom	zorom	INTJ
ejpam-6749	289	3	et	et	PROPN
ejpam-6749	289	4	al	al	PROPN
ejpam-6749	289	5	.	.	PUNCT
ejpam-6749	289	6	/	/	SYM
ejpam-6749	289	7	eur	eur	PROPN
ejpam-6749	289	8	.	.	PUNCT
ejpam-6749	290	1	j.	j.	PROPN
ejpam-6749	290	2	pure	pure	PROPN
ejpam-6749	290	3	appl	appl	PROPN
ejpam-6749	290	4	.	.	PROPN
ejpam-6749	290	5	math	math	PROPN
ejpam-6749	290	6	,	,	PUNCT
ejpam-6749	290	7	18	18	NUM
ejpam-6749	290	8	(	(	PUNCT
ejpam-6749	290	9	4	4	NUM
ejpam-6749	290	10	)	)	PUNCT
ejpam-6749	290	11	(	(	PUNCT
ejpam-6749	290	12	2025	2025	NUM
ejpam-6749	290	13	)	)	PUNCT
ejpam-6749	290	14	,	,	PUNCT
ejpam-6749	290	15	6749	6749	NUM
ejpam-6749	290	16	14	14	NUM
ejpam-6749	290	17	of	of	ADP
ejpam-6749	290	18	47	47	NUM
ejpam-6749	290	19	the	the	DET
ejpam-6749	290	20	coefficient	coefficient	NOUN
ejpam-6749	290	21	of	of	ADP
ejpam-6749	290	22	t	t	PROPN
ejpam-6749	290	23	∗	∗	NOUN
ejpam-6749	290	24	simplifies	simplifie	NOUN
ejpam-6749	290	25	as	as	SCONJ
ejpam-6749	290	26	follows	follow	VERB
ejpam-6749	290	27	.	.	PUNCT
ejpam-6749	291	1	using	use	VERB
ejpam-6749	291	2	algebraic	algebraic	ADJ
ejpam-6749	291	3	manipulation	manipulation	NOUN
ejpam-6749	291	4	techniques	technique	NOUN
ejpam-6749	291	5	from	from	ADP
ejpam-6749	291	6	lang	lang	PROPN
ejpam-6749	292	1	[	[	X
ejpam-6749	292	2	40	40	NUM
ejpam-6749	292	3	]	]	X
ejpam-6749	292	4	:	:	PUNCT
ejpam-6749	292	5	(	(	PUNCT
ejpam-6749	292	6	β	β	X
ejpam-6749	292	7	+	+	SYM
ejpam-6749	292	8	k	k	NOUN
ejpam-6749	292	9	)	)	PUNCT
ejpam-6749	292	10	φ+	φ+	VERB
ejpam-6749	292	11	δ	δ	PROPN
ejpam-6749	292	12	+	+	X
ejpam-6749	292	13	µ	µ	X
ejpam-6749	292	14	β	β	X
ejpam-6749	292	15	−	−	PROPN
ejpam-6749	292	16	φ	φ	PROPN
ejpam-6749	292	17	=	=	SYM
ejpam-6749	292	18	(	(	PUNCT
ejpam-6749	292	19	β	β	X
ejpam-6749	292	20	+	+	NUM
ejpam-6749	292	21	k)(φ+	k)(φ+	NOUN
ejpam-6749	292	22	δ	δ	PROPN
ejpam-6749	292	23	+	+	PUNCT
ejpam-6749	293	1	µ)−	µ)−	NOUN
ejpam-6749	293	2	βφ	βφ	ADP
ejpam-6749	293	3	β	β	NOUN
ejpam-6749	293	4	=	=	SYM
ejpam-6749	293	5	β(φ+	β(φ+	PUNCT
ejpam-6749	293	6	δ	δ	PROPN
ejpam-6749	293	7	+	+	X
ejpam-6749	293	8	µ	µ	X
ejpam-6749	293	9	)	)	PUNCT
ejpam-6749	293	10	+	+	NUM
ejpam-6749	293	11	k(φ+	k(φ+	X
ejpam-6749	293	12	δ	δ	PROPN
ejpam-6749	293	13	+	+	PUNCT
ejpam-6749	294	1	µ)−	µ)−	NOUN
ejpam-6749	294	2	βφ	βφ	ADP
ejpam-6749	294	3	β	β	X
ejpam-6749	294	4	=	=	SYM
ejpam-6749	294	5	β(δ	β(δ	PROPN
ejpam-6749	294	6	+	+	X
ejpam-6749	294	7	µ	µ	X
ejpam-6749	294	8	)	)	PUNCT
ejpam-6749	294	9	+	+	NUM
ejpam-6749	294	10	k(φ+	k(φ+	PROPN
ejpam-6749	294	11	δ	δ	PROPN
ejpam-6749	294	12	+	+	X
ejpam-6749	294	13	µ	µ	X
ejpam-6749	294	14	)	)	PUNCT
ejpam-6749	294	15	β	β	NOUN
ejpam-6749	294	16	.	.	PUNCT
ejpam-6749	295	1	since	since	SCONJ
ejpam-6749	295	2	all	all	DET
ejpam-6749	295	3	parameters	parameter	NOUN
ejpam-6749	295	4	are	be	AUX
ejpam-6749	295	5	positive	positive	ADJ
ejpam-6749	295	6	,	,	PUNCT
ejpam-6749	295	7	this	this	DET
ejpam-6749	295	8	coefficient	coefficient	NOUN
ejpam-6749	295	9	is	be	AUX
ejpam-6749	295	10	strictly	strictly	ADV
ejpam-6749	295	11	positive	positive	ADJ
ejpam-6749	295	12	,	,	PUNCT
ejpam-6749	295	13	ensuring	ensure	VERB
ejpam-6749	295	14	that	that	SCONJ
ejpam-6749	295	15	the	the	DET
ejpam-6749	295	16	equation	equation	NOUN
ejpam-6749	295	17	can	can	AUX
ejpam-6749	295	18	be	be	AUX
ejpam-6749	295	19	solved	solve	VERB
ejpam-6749	295	20	uniquely	uniquely	ADV
ejpam-6749	295	21	for	for	ADP
ejpam-6749	295	22	t	t	PROPN
ejpam-6749	295	23	∗.	∗.	PUNCT
ejpam-6749	295	24	for	for	ADP
ejpam-6749	295	25	the	the	DET
ejpam-6749	295	26	right	right	ADJ
ejpam-6749	295	27	-	-	PUNCT
ejpam-6749	295	28	hand	hand	NOUN
ejpam-6749	295	29	side	side	NOUN
ejpam-6749	295	30	,	,	PUNCT
ejpam-6749	295	31	we	we	PRON
ejpam-6749	295	32	have	have	VERB
ejpam-6749	295	33	:	:	PUNCT
ejpam-6749	295	34	λ−	λ−	PROPN
ejpam-6749	295	35	(	(	PUNCT
ejpam-6749	295	36	µ+	µ+	X
ejpam-6749	295	37	γ	γ	NOUN
ejpam-6749	295	38	)	)	PUNCT
ejpam-6749	295	39	φ+	φ+	NOUN
ejpam-6749	295	40	δ	δ	PROPN
ejpam-6749	295	41	+	+	X
ejpam-6749	295	42	µ	µ	X
ejpam-6749	295	43	β	β	X
ejpam-6749	295	44	=	=	SYM
ejpam-6749	295	45	βλ−	βλ−	PROPN
ejpam-6749	295	46	(	(	PUNCT
ejpam-6749	295	47	µ+	µ+	X
ejpam-6749	295	48	γ)(φ+	γ)(φ+	ADJ
ejpam-6749	295	49	δ	δ	PROPN
ejpam-6749	295	50	+	+	X
ejpam-6749	295	51	µ	µ	X
ejpam-6749	295	52	)	)	PUNCT
ejpam-6749	295	53	β	β	NOUN
ejpam-6749	295	54	.	.	PUNCT
ejpam-6749	296	1	using	use	VERB
ejpam-6749	296	2	the	the	DET
ejpam-6749	296	3	definition	definition	NOUN
ejpam-6749	296	4	of	of	ADP
ejpam-6749	296	5	the	the	DET
ejpam-6749	296	6	basic	basic	ADJ
ejpam-6749	296	7	reproduction	reproduction	NOUN
ejpam-6749	296	8	number	number	NOUN
ejpam-6749	296	9	from	from	ADP
ejpam-6749	296	10	3	3	NUM
ejpam-6749	296	11	:	:	PUNCT
ejpam-6749	296	12	r0	r0	NOUN
ejpam-6749	296	13	=	=	SYM
ejpam-6749	296	14	βλ	βλ	PROPN
ejpam-6749	296	15	(	(	PUNCT
ejpam-6749	296	16	φ+	φ+	X
ejpam-6749	296	17	δ	δ	PROPN
ejpam-6749	296	18	+	+	CCONJ
ejpam-6749	296	19	µ)(µ+	µ)(µ+	PROPN
ejpam-6749	296	20	γ	γ	NOUN
ejpam-6749	296	21	)	)	PUNCT
ejpam-6749	296	22	,	,	PUNCT
ejpam-6749	296	23	we	we	PRON
ejpam-6749	296	24	can	can	AUX
ejpam-6749	296	25	rewrite	rewrite	VERB
ejpam-6749	296	26	the	the	DET
ejpam-6749	296	27	numerator	numerator	NOUN
ejpam-6749	296	28	as	as	ADP
ejpam-6749	296	29	:	:	PUNCT
ejpam-6749	296	30	βλ−	βλ−	PUNCT
ejpam-6749	296	31	(	(	PUNCT
ejpam-6749	296	32	µ+	µ+	X
ejpam-6749	296	33	γ)(φ+	γ)(φ+	ADJ
ejpam-6749	296	34	δ	δ	PROPN
ejpam-6749	296	35	+	+	X
ejpam-6749	296	36	µ	µ	X
ejpam-6749	296	37	)	)	PUNCT
ejpam-6749	296	38	=	=	PUNCT
ejpam-6749	296	39	(	(	PUNCT
ejpam-6749	296	40	µ+	µ+	X
ejpam-6749	296	41	γ)(φ+	γ)(φ+	ADJ
ejpam-6749	296	42	δ	δ	PROPN
ejpam-6749	296	43	+	+	X
ejpam-6749	296	44	µ	µ	X
ejpam-6749	296	45	)	)	PUNCT
ejpam-6749	296	46	[	[	PUNCT
ejpam-6749	296	47	βλ	βλ	X
ejpam-6749	296	48	(	(	PUNCT
ejpam-6749	296	49	µ+	µ+	X
ejpam-6749	296	50	γ)(φ+	γ)(φ+	ADJ
ejpam-6749	296	51	δ	δ	PROPN
ejpam-6749	296	52	+	+	X
ejpam-6749	296	53	µ	µ	X
ejpam-6749	296	54	)	)	PUNCT
ejpam-6749	296	55	−	−	PROPN
ejpam-6749	296	56	1	1	NUM
ejpam-6749	296	57	]	]	PUNCT
ejpam-6749	296	58	=	=	SYM
ejpam-6749	296	59	(	(	PUNCT
ejpam-6749	296	60	µ+	µ+	X
ejpam-6749	296	61	γ)(φ+	γ)(φ+	ADJ
ejpam-6749	296	62	δ	δ	PROPN
ejpam-6749	296	63	+	+	CCONJ
ejpam-6749	296	64	µ)(r0	µ)(r0	NOUN
ejpam-6749	296	65	−	−	NOUN
ejpam-6749	296	66	1	1	NUM
ejpam-6749	296	67	)	)	PUNCT
ejpam-6749	296	68	.	.	PUNCT
ejpam-6749	297	1	therefore	therefore	ADV
ejpam-6749	297	2	,	,	PUNCT
ejpam-6749	297	3	the	the	DET
ejpam-6749	297	4	endemic	endemic	ADJ
ejpam-6749	297	5	terrorist	terrorist	ADJ
ejpam-6749	297	6	population	population	NOUN
ejpam-6749	297	7	is	be	AUX
ejpam-6749	297	8	:	:	PUNCT
ejpam-6749	297	9	t	t	NOUN
ejpam-6749	297	10	∗	∗	NOUN
ejpam-6749	297	11	=	=	SYM
ejpam-6749	297	12	(	(	PUNCT
ejpam-6749	297	13	µ+	µ+	X
ejpam-6749	297	14	γ)(φ+	γ)(φ+	ADJ
ejpam-6749	297	15	δ	δ	PROPN
ejpam-6749	297	16	+	+	CCONJ
ejpam-6749	297	17	µ)(r0	µ)(r0	NOUN
ejpam-6749	297	18	−	−	NOUN
ejpam-6749	297	19	1	1	NUM
ejpam-6749	297	20	)	)	PUNCT
ejpam-6749	297	21	β(δ	β(δ	PROPN
ejpam-6749	297	22	+	+	CCONJ
ejpam-6749	297	23	µ	µ	X
ejpam-6749	297	24	)	)	PUNCT
ejpam-6749	297	25	+	+	NUM
ejpam-6749	297	26	k(φ+	k(φ+	PROPN
ejpam-6749	297	27	δ	δ	PROPN
ejpam-6749	297	28	+	+	X
ejpam-6749	297	29	µ	µ	X
ejpam-6749	297	30	)	)	PUNCT
ejpam-6749	297	31	.	.	PUNCT
ejpam-6749	298	1	for	for	ADP
ejpam-6749	298	2	t	t	PROPN
ejpam-6749	298	3	∗	∗	NOUN
ejpam-6749	298	4	>	>	X
ejpam-6749	298	5	0	0	NUM
ejpam-6749	298	6	,	,	PUNCT
ejpam-6749	298	7	we	we	PRON
ejpam-6749	298	8	require	require	VERB
ejpam-6749	298	9	the	the	DET
ejpam-6749	298	10	numerator	numerator	NOUN
ejpam-6749	298	11	to	to	PART
ejpam-6749	298	12	be	be	AUX
ejpam-6749	298	13	positive	positive	ADJ
ejpam-6749	298	14	since	since	SCONJ
ejpam-6749	298	15	the	the	DET
ejpam-6749	298	16	denominator	denominator	NOUN
ejpam-6749	298	17	is	be	AUX
ejpam-6749	298	18	always	always	ADV
ejpam-6749	298	19	positive	positive	ADJ
ejpam-6749	298	20	.	.	PUNCT
ejpam-6749	299	1	this	this	PRON
ejpam-6749	299	2	occurs	occur	VERB
ejpam-6749	299	3	precisely	precisely	ADV
ejpam-6749	299	4	when	when	SCONJ
ejpam-6749	299	5	r0	r0	NOUN
ejpam-6749	299	6	−	−	PROPN
ejpam-6749	299	7	1	1	NUM
ejpam-6749	299	8	>	>	SYM
ejpam-6749	299	9	0	0	NUM
ejpam-6749	299	10	,	,	PUNCT
ejpam-6749	299	11	or	or	CCONJ
ejpam-6749	299	12	equivalently	equivalently	ADV
ejpam-6749	299	13	,	,	PUNCT
ejpam-6749	299	14	r0	r0	NOUN
ejpam-6749	299	15	>	>	X
ejpam-6749	299	16	1	1	NUM
ejpam-6749	299	17	.	.	PUNCT
ejpam-6749	300	1	when	when	SCONJ
ejpam-6749	300	2	r0	r0	VERB
ejpam-6749	300	3	≤	≤	NOUN
ejpam-6749	300	4	1	1	NUM
ejpam-6749	300	5	,	,	PUNCT
ejpam-6749	300	6	we	we	PRON
ejpam-6749	300	7	have	have	VERB
ejpam-6749	300	8	t	t	PROPN
ejpam-6749	300	9	∗	∗	NOUN
ejpam-6749	300	10	≤	≤	NUM
ejpam-6749	300	11	0	0	NUM
ejpam-6749	300	12	,	,	PUNCT
ejpam-6749	300	13	which	which	PRON
ejpam-6749	300	14	contradicts	contradict	VERB
ejpam-6749	300	15	our	our	PRON
ejpam-6749	300	16	assumption	assumption	NOUN
ejpam-6749	300	17	of	of	ADP
ejpam-6749	300	18	an	an	DET
ejpam-6749	300	19	endemic	endemic	ADJ
ejpam-6749	300	20	equilibrium	equilibrium	NOUN
ejpam-6749	300	21	with	with	ADP
ejpam-6749	300	22	positive	positive	ADJ
ejpam-6749	300	23	terrorist	terrorist	ADJ
ejpam-6749	300	24	population	population	NOUN
ejpam-6749	300	25	.	.	PUNCT
ejpam-6749	301	1	uniqueness	uniqueness	PROPN
ejpam-6749	301	2	follows	follow	VERB
ejpam-6749	301	3	from	from	ADP
ejpam-6749	301	4	the	the	DET
ejpam-6749	301	5	structure	structure	NOUN
ejpam-6749	301	6	of	of	ADP
ejpam-6749	301	7	the	the	DET
ejpam-6749	301	8	algebraic	algebraic	ADJ
ejpam-6749	301	9	system	system	NOUN
ejpam-6749	301	10	.	.	PUNCT
ejpam-6749	302	1	once	once	SCONJ
ejpam-6749	302	2	we	we	PRON
ejpam-6749	302	3	assume	assume	VERB
ejpam-6749	302	4	t	t	PROPN
ejpam-6749	302	5	∗	∗	NOUN
ejpam-6749	302	6	>	>	X
ejpam-6749	302	7	0	0	NUM
ejpam-6749	302	8	,	,	PUNCT
ejpam-6749	302	9	the	the	DET
ejpam-6749	302	10	system	system	NOUN
ejpam-6749	302	11	of	of	ADP
ejpam-6749	302	12	equilibrium	equilibrium	NOUN
ejpam-6749	302	13	equations	equation	NOUN
ejpam-6749	302	14	becomes	become	VERB
ejpam-6749	302	15	a	a	DET
ejpam-6749	302	16	polynomial	polynomial	ADJ
ejpam-6749	302	17	system	system	NOUN
ejpam-6749	302	18	of	of	ADP
ejpam-6749	302	19	degree	degree	NOUN
ejpam-6749	302	20	one	one	NUM
ejpam-6749	302	21	in	in	ADP
ejpam-6749	302	22	each	each	DET
ejpam-6749	302	23	variable	variable	NOUN
ejpam-6749	302	24	(	(	PUNCT
ejpam-6749	302	25	after	after	ADP
ejpam-6749	302	26	the	the	DET
ejpam-6749	302	27	substitution	substitution	NOUN
ejpam-6749	302	28	eliminating	eliminate	VERB
ejpam-6749	302	29	the	the	DET
ejpam-6749	302	30	quadratic	quadratic	ADJ
ejpam-6749	302	31	terms	term	NOUN
ejpam-6749	302	32	)	)	PUNCT
ejpam-6749	302	33	.	.	PUNCT
ejpam-6749	303	1	by	by	ADP
ejpam-6749	303	2	fundamental	fundamental	ADJ
ejpam-6749	303	3	results	result	NOUN
ejpam-6749	303	4	from	from	ADP
ejpam-6749	303	5	algebraic	algebraic	ADJ
ejpam-6749	303	6	geometry	geometry	NOUN
ejpam-6749	303	7	(	(	PUNCT
ejpam-6749	303	8	see	see	VERB
ejpam-6749	303	9	hartshorne	hartshorne	ADJ
ejpam-6749	303	10	[	[	X
ejpam-6749	303	11	55	55	NUM
ejpam-6749	303	12	]	]	NUM
ejpam-6749	303	13	)	)	PUNCT
ejpam-6749	303	14	,	,	PUNCT
ejpam-6749	303	15	such	such	ADJ
ejpam-6749	303	16	systems	system	NOUN
ejpam-6749	303	17	have	have	VERB
ejpam-6749	303	18	at	at	ADP
ejpam-6749	303	19	most	most	ADV
ejpam-6749	303	20	one	one	NUM
ejpam-6749	303	21	solution	solution	NOUN
ejpam-6749	303	22	in	in	ADP
ejpam-6749	303	23	the	the	DET
ejpam-6749	303	24	positive	positive	ADJ
ejpam-6749	303	25	orthant	orthant	NOUN
ejpam-6749	303	26	when	when	SCONJ
ejpam-6749	303	27	the	the	DET
ejpam-6749	303	28	coefficient	coefficient	NOUN
ejpam-6749	303	29	matrix	matrix	NOUN
ejpam-6749	303	30	has	have	VERB
ejpam-6749	303	31	full	full	ADJ
ejpam-6749	303	32	rank	rank	NOUN
ejpam-6749	303	33	,	,	PUNCT
ejpam-6749	303	34	which	which	PRON
ejpam-6749	303	35	is	be	AUX
ejpam-6749	303	36	guaranteed	guarantee	VERB
ejpam-6749	303	37	by	by	ADP
ejpam-6749	303	38	our	our	PRON
ejpam-6749	303	39	parameter	parameter	NOUN
ejpam-6749	303	40	positivity	positivity	NOUN
ejpam-6749	303	41	assumptions	assumption	NOUN
ejpam-6749	303	42	.	.	PUNCT
ejpam-6749	304	1	the	the	DET
ejpam-6749	304	2	existence	existence	NOUN
ejpam-6749	304	3	component	component	NOUN
ejpam-6749	304	4	follows	follow	VERB
ejpam-6749	304	5	from	from	ADP
ejpam-6749	304	6	the	the	DET
ejpam-6749	304	7	constructive	constructive	ADJ
ejpam-6749	304	8	nature	nature	NOUN
ejpam-6749	304	9	of	of	ADP
ejpam-6749	304	10	our	our	PRON
ejpam-6749	304	11	proof	proof	NOUN
ejpam-6749	304	12	:	:	PUNCT
ejpam-6749	304	13	we	we	PRON
ejpam-6749	304	14	have	have	AUX
ejpam-6749	304	15	explicitly	explicitly	ADV
ejpam-6749	304	16	computed	compute	VERB
ejpam-6749	304	17	the	the	DET
ejpam-6749	304	18	equilibrium	equilibrium	NOUN
ejpam-6749	304	19	values	value	NOUN
ejpam-6749	304	20	and	and	CCONJ
ejpam-6749	304	21	shown	show	VERB
ejpam-6749	304	22	they	they	PRON
ejpam-6749	304	23	are	be	AUX
ejpam-6749	304	24	positive	positive	ADJ
ejpam-6749	304	25	precisely	precisely	ADV
ejpam-6749	304	26	when	when	SCONJ
ejpam-6749	304	27	r0	r0	NOUN
ejpam-6749	304	28	>	>	X
ejpam-6749	304	29	1	1	X
ejpam-6749	304	30	.	.	PUNCT
ejpam-6749	305	1	the	the	DET
ejpam-6749	305	2	verification	verification	NOUN
ejpam-6749	305	3	that	that	PRON
ejpam-6749	305	4	these	these	DET
ejpam-6749	305	5	values	value	NOUN
ejpam-6749	305	6	indeed	indeed	ADV
ejpam-6749	305	7	satisfy	satisfy	VERB
ejpam-6749	305	8	the	the	DET
ejpam-6749	305	9	original	original	ADJ
ejpam-6749	305	10	equilibrium	equilibrium	NOUN
ejpam-6749	305	11	equations	equation	NOUN
ejpam-6749	305	12	can	can	AUX
ejpam-6749	305	13	be	be	AUX
ejpam-6749	305	14	performed	perform	VERB
ejpam-6749	305	15	by	by	ADP
ejpam-6749	305	16	direct	direct	ADJ
ejpam-6749	305	17	substitution	substitution	NOUN
ejpam-6749	305	18	,	,	PUNCT
ejpam-6749	305	19	completing	complete	VERB
ejpam-6749	305	20	the	the	DET
ejpam-6749	305	21	proof	proof	NOUN
ejpam-6749	305	22	of	of	ADP
ejpam-6749	305	23	existence	existence	NOUN
ejpam-6749	305	24	and	and	CCONJ
ejpam-6749	305	25	uniqueness	uniqueness	NOUN
ejpam-6749	305	26	.	.	PUNCT
ejpam-6749	306	1	m.	m.	NOUN
ejpam-6749	306	2	zorom	zorom	NOUN
ejpam-6749	306	3	et	et	PROPN
ejpam-6749	306	4	al	al	PROPN
ejpam-6749	306	5	.	.	PUNCT
ejpam-6749	306	6	/	/	SYM
ejpam-6749	306	7	eur	eur	PROPN
ejpam-6749	306	8	.	.	PUNCT
ejpam-6749	307	1	j.	j.	PROPN
ejpam-6749	307	2	pure	pure	PROPN
ejpam-6749	307	3	appl	appl	PROPN
ejpam-6749	307	4	.	.	PROPN
ejpam-6749	307	5	math	math	PROPN
ejpam-6749	307	6	,	,	PUNCT
ejpam-6749	307	7	18	18	NUM
ejpam-6749	307	8	(	(	PUNCT
ejpam-6749	307	9	4	4	NUM
ejpam-6749	307	10	)	)	PUNCT
ejpam-6749	307	11	(	(	PUNCT
ejpam-6749	307	12	2025	2025	NUM
ejpam-6749	307	13	)	)	PUNCT
ejpam-6749	307	14	,	,	PUNCT
ejpam-6749	307	15	6749	6749	NUM
ejpam-6749	307	16	15	15	NUM
ejpam-6749	307	17	of	of	ADP
ejpam-6749	307	18	47	47	NUM
ejpam-6749	307	19	5	5	NUM
ejpam-6749	307	20	.	.	PUNCT
ejpam-6749	308	1	local	local	ADJ
ejpam-6749	308	2	and	and	CCONJ
ejpam-6749	308	3	global	global	ADJ
ejpam-6749	308	4	stability	stability	NOUN
ejpam-6749	308	5	analysis	analysis	NOUN
ejpam-6749	308	6	the	the	DET
ejpam-6749	308	7	stability	stability	NOUN
ejpam-6749	308	8	analysis	analysis	NOUN
ejpam-6749	308	9	employs	employ	VERB
ejpam-6749	308	10	techniques	technique	NOUN
ejpam-6749	308	11	from	from	ADP
ejpam-6749	308	12	dynamical	dynamical	ADJ
ejpam-6749	308	13	systems	system	NOUN
ejpam-6749	308	14	theory	theory	NOUN
ejpam-6749	308	15	,	,	PUNCT
ejpam-6749	308	16	including	include	VERB
ejpam-6749	308	17	lyapunov	lyapunov	ADJ
ejpam-6749	308	18	stability	stability	NOUN
ejpam-6749	308	19	theory	theory	NOUN
ejpam-6749	308	20	as	as	SCONJ
ejpam-6749	308	21	developed	develop	VERB
ejpam-6749	308	22	by	by	ADP
ejpam-6749	308	23	hahn	hahn	PROPN
ejpam-6749	309	1	[	[	X
ejpam-6749	309	2	56	56	NUM
ejpam-6749	309	3	]	]	PUNCT
ejpam-6749	309	4	and	and	CCONJ
ejpam-6749	309	5	lasalle	lasalle	PROPN
ejpam-6749	309	6	’s	’s	PART
ejpam-6749	309	7	invariance	invariance	NOUN
ejpam-6749	309	8	principle	principle	NOUN
ejpam-6749	309	9	[	[	X
ejpam-6749	309	10	57	57	NUM
ejpam-6749	309	11	]	]	PUNCT
ejpam-6749	309	12	,	,	PUNCT
ejpam-6749	309	13	along	along	ADP
ejpam-6749	309	14	with	with	ADP
ejpam-6749	309	15	geometric	geometric	ADJ
ejpam-6749	309	16	approaches	approach	NOUN
ejpam-6749	309	17	to	to	PART
ejpam-6749	309	18	understand	understand	VERB
ejpam-6749	309	19	long	long	ADJ
ejpam-6749	309	20	-	-	PUNCT
ejpam-6749	309	21	term	term	NOUN
ejpam-6749	309	22	behavior	behavior	NOUN
ejpam-6749	309	23	following	follow	VERB
ejpam-6749	309	24	the	the	DET
ejpam-6749	309	25	comprehensive	comprehensive	ADJ
ejpam-6749	309	26	treatment	treatment	NOUN
ejpam-6749	309	27	by	by	ADP
ejpam-6749	309	28	khalil	khalil	PROPN
ejpam-6749	310	1	[	[	X
ejpam-6749	310	2	58	58	NUM
ejpam-6749	310	3	]	]	PUNCT
ejpam-6749	310	4	.	.	PUNCT
ejpam-6749	311	1	5.1	5.1	NUM
ejpam-6749	311	2	.	.	PUNCT
ejpam-6749	312	1	linear	linear	ADJ
ejpam-6749	312	2	stability	stability	NOUN
ejpam-6749	312	3	analysis	analysis	NOUN
ejpam-6749	312	4	of	of	ADP
ejpam-6749	312	5	terrorism	terrorism	NOUN
ejpam-6749	312	6	-	-	PUNCT
ejpam-6749	312	7	free	free	ADJ
ejpam-6749	312	8	equilibrium	equilibrium	NOUN
ejpam-6749	312	9	theorem	theorem	VERB
ejpam-6749	312	10	5	5	NUM
ejpam-6749	312	11	.	.	PUNCT
ejpam-6749	313	1	the	the	DET
ejpam-6749	313	2	terrorism	terrorism	NOUN
ejpam-6749	313	3	-	-	PUNCT
ejpam-6749	313	4	free	free	ADJ
ejpam-6749	313	5	equilibrium	equilibrium	NOUN
ejpam-6749	313	6	e0	e0	PROPN
ejpam-6749	313	7	is	be	AUX
ejpam-6749	313	8	locally	locally	ADV
ejpam-6749	313	9	asymptotically	asymptotically	ADV
ejpam-6749	313	10	stable	stable	ADJ
ejpam-6749	313	11	if	if	SCONJ
ejpam-6749	313	12	r0	r0	NOUN
ejpam-6749	313	13	<	<	X
ejpam-6749	313	14	1	1	NUM
ejpam-6749	313	15	and	and	CCONJ
ejpam-6749	313	16	unstable	unstable	ADJ
ejpam-6749	313	17	if	if	SCONJ
ejpam-6749	313	18	r0	r0	NOUN
ejpam-6749	313	19	>	>	X
ejpam-6749	313	20	1	1	X
ejpam-6749	313	21	.	.	PUNCT
ejpam-6749	313	22	proof	proof	NOUN
ejpam-6749	313	23	.	.	PUNCT
ejpam-6749	314	1	local	local	ADJ
ejpam-6749	314	2	stability	stability	NOUN
ejpam-6749	314	3	analysis	analysis	NOUN
ejpam-6749	314	4	follows	follow	VERB
ejpam-6749	314	5	the	the	DET
ejpam-6749	314	6	linearization	linearization	NOUN
ejpam-6749	314	7	method	method	NOUN
ejpam-6749	314	8	established	establish	VERB
ejpam-6749	314	9	by	by	ADP
ejpam-6749	314	10	lyapunov	lyapunov	NOUN
ejpam-6749	314	11	[	[	X
ejpam-6749	314	12	59	59	NUM
ejpam-6749	314	13	]	]	PUNCT
ejpam-6749	314	14	and	and	CCONJ
ejpam-6749	314	15	systematized	systematize	VERB
ejpam-6749	314	16	in	in	ADP
ejpam-6749	314	17	modern	modern	ADJ
ejpam-6749	314	18	treatments	treatment	NOUN
ejpam-6749	314	19	by	by	ADP
ejpam-6749	314	20	perko	perko	PROPN
ejpam-6749	315	1	[	[	X
ejpam-6749	315	2	33	33	NUM
ejpam-6749	315	3	]	]	PUNCT
ejpam-6749	315	4	and	and	CCONJ
ejpam-6749	315	5	wiggins	wiggin	VERB
ejpam-6749	315	6	[	[	X
ejpam-6749	315	7	44	44	NUM
ejpam-6749	315	8	]	]	PUNCT
ejpam-6749	315	9	.	.	PUNCT
ejpam-6749	316	1	the	the	DET
ejpam-6749	316	2	fundamental	fundamental	ADJ
ejpam-6749	316	3	principle	principle	NOUN
ejpam-6749	316	4	states	state	NOUN
ejpam-6749	316	5	that	that	SCONJ
ejpam-6749	316	6	the	the	DET
ejpam-6749	316	7	stability	stability	NOUN
ejpam-6749	316	8	of	of	ADP
ejpam-6749	316	9	an	an	DET
ejpam-6749	316	10	equilibrium	equilibrium	NOUN
ejpam-6749	316	11	point	point	NOUN
ejpam-6749	316	12	is	be	AUX
ejpam-6749	316	13	determined	determine	VERB
ejpam-6749	316	14	by	by	ADP
ejpam-6749	316	15	the	the	DET
ejpam-6749	316	16	spectrum	spectrum	NOUN
ejpam-6749	316	17	of	of	ADP
ejpam-6749	316	18	the	the	DET
ejpam-6749	316	19	jacobian	jacobian	ADJ
ejpam-6749	316	20	matrix	matrix	NOUN
ejpam-6749	316	21	evaluated	evaluate	VERB
ejpam-6749	316	22	at	at	ADP
ejpam-6749	316	23	that	that	DET
ejpam-6749	316	24	point	point	NOUN
ejpam-6749	316	25	,	,	PUNCT
ejpam-6749	316	26	provided	provide	VERB
ejpam-6749	316	27	no	no	DET
ejpam-6749	316	28	eigenvalues	eigenvalue	NOUN
ejpam-6749	316	29	have	have	VERB
ejpam-6749	316	30	zero	zero	NUM
ejpam-6749	316	31	real	real	ADJ
ejpam-6749	316	32	parts	part	NOUN
ejpam-6749	316	33	.	.	PUNCT
ejpam-6749	317	1	at	at	ADP
ejpam-6749	317	2	the	the	DET
ejpam-6749	317	3	terrorism	terrorism	NOUN
ejpam-6749	317	4	-	-	PUNCT
ejpam-6749	317	5	free	free	ADJ
ejpam-6749	317	6	equilibrium	equilibrium	NOUN
ejpam-6749	317	7	e0	e0	PROPN
ejpam-6749	317	8	=	=	PUNCT
ejpam-6749	317	9	(	(	PUNCT
ejpam-6749	317	10	s∗	s∗	PROPN
ejpam-6749	317	11	0	0	NUM
ejpam-6749	317	12	,	,	PUNCT
ejpam-6749	317	13	0	0	NUM
ejpam-6749	317	14	,	,	PUNCT
ejpam-6749	317	15	q	q	NOUN
ejpam-6749	317	16	∗	∗	NOUN
ejpam-6749	317	17	0	0	NUM
ejpam-6749	317	18	)	)	PUNCT
ejpam-6749	317	19	where	where	SCONJ
ejpam-6749	317	20	s∗	s∗	PROPN
ejpam-6749	317	21	0	0	NUM
ejpam-6749	317	22	=	=	SYM
ejpam-6749	317	23	λ	λ	X
ejpam-6749	317	24	µ+γ	µ+γ	NUM
ejpam-6749	317	25	and	and	CCONJ
ejpam-6749	317	26	q∗	q∗	NOUN
ejpam-6749	317	27	0	0	NUM
ejpam-6749	318	1	=	=	NOUN
ejpam-6749	318	2	γλ	γλ	PROPN
ejpam-6749	318	3	µ(µ+γ	µ(µ+γ	NUM
ejpam-6749	318	4	)	)	PUNCT
ejpam-6749	318	5	from	from	ADP
ejpam-6749	318	6	2	2	NUM
ejpam-6749	318	7	,	,	PUNCT
ejpam-6749	318	8	we	we	PRON
ejpam-6749	318	9	compute	compute	VERB
ejpam-6749	318	10	the	the	DET
ejpam-6749	318	11	jacobian	jacobian	ADJ
ejpam-6749	318	12	matrix	matrix	NOUN
ejpam-6749	318	13	using	use	VERB
ejpam-6749	318	14	the	the	DET
ejpam-6749	318	15	vector	vector	NOUN
ejpam-6749	318	16	field	field	NOUN
ejpam-6749	318	17	definition	definition	NOUN
ejpam-6749	318	18	from	from	ADP
ejpam-6749	318	19	system	system	NOUN
ejpam-6749	318	20	(	(	PUNCT
ejpam-6749	318	21	1	1	NUM
ejpam-6749	318	22	):	):	PUNCT
ejpam-6749	318	23	j(e0	j(e0	ADJ
ejpam-6749	318	24	)	)	PUNCT
ejpam-6749	318	25	=	=	SYM
ejpam-6749	318	26			VERB
ejpam-6749	318	27			NOUN
ejpam-6749	318	28	−(µ+	−(µ+	NUM
ejpam-6749	318	29	γ	γ	X
ejpam-6749	318	30	)	)	PUNCT
ejpam-6749	318	31	−(β	−(β	NOUN
ejpam-6749	319	1	+	+	CCONJ
ejpam-6749	320	1	k)s∗	k)s∗	X
ejpam-6749	320	2	0	0	NUM
ejpam-6749	321	1	+	+	CCONJ
ejpam-6749	321	2	φ	φ	NUM
ejpam-6749	321	3	0	0	NUM
ejpam-6749	321	4	0	0	NUM
ejpam-6749	321	5	βs∗	βs∗	NOUN
ejpam-6749	321	6	0	0	NUM
ejpam-6749	322	1	−	−	PROPN
ejpam-6749	322	2	(	(	PUNCT
ejpam-6749	322	3	φ+	φ+	X
ejpam-6749	322	4	δ	δ	PROPN
ejpam-6749	322	5	+	+	X
ejpam-6749	322	6	µ	µ	X
ejpam-6749	322	7	)	)	PUNCT
ejpam-6749	322	8	0	0	NUM
ejpam-6749	322	9	γ	γ	PROPN
ejpam-6749	322	10	0	0	PROPN
ejpam-6749	322	11	−µ	−µ	NOUN
ejpam-6749	322	12			PROPN
ejpam-6749	322	13			PUNCT
ejpam-6749	322	14	.	.	PUNCT
ejpam-6749	323	1	the	the	DET
ejpam-6749	323	2	block	block	NOUN
ejpam-6749	323	3	-	-	PUNCT
ejpam-6749	323	4	triangular	triangular	NOUN
ejpam-6749	323	5	structure	structure	NOUN
ejpam-6749	323	6	of	of	ADP
ejpam-6749	323	7	this	this	DET
ejpam-6749	323	8	matrix	matrix	NOUN
ejpam-6749	323	9	,	,	PUNCT
ejpam-6749	323	10	characteristic	characteristic	ADJ
ejpam-6749	323	11	of	of	ADP
ejpam-6749	323	12	many	many	ADJ
ejpam-6749	323	13	compartmental	compartmental	ADJ
ejpam-6749	323	14	models	model	NOUN
ejpam-6749	323	15	as	as	SCONJ
ejpam-6749	323	16	noted	note	VERB
ejpam-6749	323	17	by	by	ADP
ejpam-6749	323	18	li	li	PROPN
ejpam-6749	323	19	and	and	CCONJ
ejpam-6749	323	20	muldowney	muldowney	NOUN
ejpam-6749	323	21	[	[	X
ejpam-6749	323	22	52	52	NUM
ejpam-6749	323	23	]	]	PUNCT
ejpam-6749	323	24	,	,	PUNCT
ejpam-6749	323	25	allows	allow	VERB
ejpam-6749	323	26	for	for	ADP
ejpam-6749	323	27	explicit	explicit	ADJ
ejpam-6749	323	28	computation	computation	NOUN
ejpam-6749	323	29	of	of	ADP
ejpam-6749	323	30	eigenvalues	eigenvalue	NOUN
ejpam-6749	323	31	.	.	PUNCT
ejpam-6749	324	1	the	the	DET
ejpam-6749	324	2	characteristic	characteristic	ADJ
ejpam-6749	324	3	polynomial	polynomial	NOUN
ejpam-6749	324	4	is	be	AUX
ejpam-6749	324	5	given	give	VERB
ejpam-6749	324	6	by	by	ADP
ejpam-6749	324	7	det(j(e0)−	det(j(e0)−	PROPN
ejpam-6749	324	8	λi	λi	NOUN
ejpam-6749	324	9	)	)	PUNCT
ejpam-6749	324	10	=	=	SYM
ejpam-6749	324	11	det	det	PROPN
ejpam-6749	324	12			VERB
ejpam-6749	324	13			NOUN
ejpam-6749	324	14	−(µ+	−(µ+	PROPN
ejpam-6749	324	15	γ)−	γ)−	PROPN
ejpam-6749	325	1	λ	λ	X
ejpam-6749	325	2	−(β	−(β	ADJ
ejpam-6749	325	3	+	+	CCONJ
ejpam-6749	325	4	k)s∗	k)s∗	X
ejpam-6749	325	5	0	0	NUM
ejpam-6749	326	1	+	+	CCONJ
ejpam-6749	326	2	φ	φ	NUM
ejpam-6749	326	3	0	0	NUM
ejpam-6749	326	4	0	0	NUM
ejpam-6749	326	5	βs∗	βs∗	NOUN
ejpam-6749	326	6	0	0	NUM
ejpam-6749	327	1	−	−	PROPN
ejpam-6749	327	2	(	(	PUNCT
ejpam-6749	327	3	φ+	φ+	X
ejpam-6749	327	4	δ	δ	X
ejpam-6749	327	5	+	+	PUNCT
ejpam-6749	328	1	µ)−	µ)−	NOUN
ejpam-6749	328	2	λ	λ	NOUN
ejpam-6749	328	3	0	0	NUM
ejpam-6749	328	4	γ	γ	PROPN
ejpam-6749	328	5	0	0	NUM
ejpam-6749	328	6	−µ−	−µ−	NOUN
ejpam-6749	328	7	λ	λ	PROPN
ejpam-6749	328	8			PROPN
ejpam-6749	328	9			PUNCT
ejpam-6749	328	10	.	.	PUNCT
ejpam-6749	329	1	expanding	expand	VERB
ejpam-6749	329	2	this	this	DET
ejpam-6749	329	3	determinant	determinant	ADJ
ejpam-6749	329	4	along	along	ADP
ejpam-6749	329	5	the	the	DET
ejpam-6749	329	6	third	third	ADJ
ejpam-6749	329	7	column	column	NOUN
ejpam-6749	329	8	(	(	PUNCT
ejpam-6749	329	9	see	see	VERB
ejpam-6749	329	10	horn	horn	NOUN
ejpam-6749	329	11	and	and	CCONJ
ejpam-6749	329	12	johnson	johnson	NOUN
ejpam-6749	330	1	[	[	X
ejpam-6749	330	2	60	60	NUM
ejpam-6749	330	3	]	]	PUNCT
ejpam-6749	330	4	):	):	PUNCT
ejpam-6749	330	5	det(j(e0)−	det(j(e0)−	PROPN
ejpam-6749	330	6	λi	λi	NOUN
ejpam-6749	330	7	)	)	PUNCT
ejpam-6749	330	8	=	=	SYM
ejpam-6749	330	9	(	(	PUNCT
ejpam-6749	330	10	−µ−	−µ−	NOUN
ejpam-6749	330	11	λ	λ	PROPN
ejpam-6749	330	12	)	)	PUNCT
ejpam-6749	330	13	det	det	NOUN
ejpam-6749	330	14	(	(	PUNCT
ejpam-6749	330	15	−(µ+	−(µ+	X
ejpam-6749	330	16	γ)−	γ)−	PROPN
ejpam-6749	330	17	λ	λ	PROPN
ejpam-6749	330	18	−(β	−(β	ADJ
ejpam-6749	330	19	+	+	CCONJ
ejpam-6749	330	20	k)s∗	k)s∗	X
ejpam-6749	330	21	0	0	NUM
ejpam-6749	331	1	+	+	CCONJ
ejpam-6749	331	2	φ	φ	NUM
ejpam-6749	331	3	0	0	NUM
ejpam-6749	331	4	βs∗	βs∗	NOUN
ejpam-6749	331	5	0	0	NUM
ejpam-6749	332	1	−	−	PROPN
ejpam-6749	332	2	(	(	PUNCT
ejpam-6749	332	3	φ+	φ+	X
ejpam-6749	332	4	δ	δ	X
ejpam-6749	332	5	+	+	PUNCT
ejpam-6749	332	6	µ)−	µ)−	NOUN
ejpam-6749	332	7	λ	λ	NOUN
ejpam-6749	332	8	)	)	PUNCT
ejpam-6749	332	9	.	.	PUNCT
ejpam-6749	333	1	the	the	DET
ejpam-6749	333	2	2×	2×	NUM
ejpam-6749	333	3	2	2	NUM
ejpam-6749	333	4	determinant	determinant	NOUN
ejpam-6749	333	5	of	of	ADP
ejpam-6749	333	6	the	the	DET
ejpam-6749	333	7	upper	upper	ADV
ejpam-6749	333	8	-	-	PUNCT
ejpam-6749	333	9	left	leave	VERB
ejpam-6749	333	10	block	block	NOUN
ejpam-6749	333	11	is	be	AUX
ejpam-6749	333	12	:	:	PUNCT
ejpam-6749	333	13	(	(	PUNCT
ejpam-6749	333	14	−(µ+	−(µ+	X
ejpam-6749	333	15	γ)−	γ)−	PROPN
ejpam-6749	333	16	λ)(βs∗	λ)(βs∗	PROPN
ejpam-6749	333	17	0	0	PUNCT
ejpam-6749	333	18	−	−	PROPN
ejpam-6749	333	19	(	(	PUNCT
ejpam-6749	333	20	φ+	φ+	X
ejpam-6749	333	21	δ	δ	X
ejpam-6749	333	22	+	+	PUNCT
ejpam-6749	333	23	µ)−	µ)−	PROPN
ejpam-6749	333	24	λ	λ	NOUN
ejpam-6749	333	25	)	)	PUNCT
ejpam-6749	333	26	,	,	PUNCT
ejpam-6749	333	27	giving	give	VERB
ejpam-6749	333	28	us	we	PRON
ejpam-6749	333	29	the	the	DET
ejpam-6749	333	30	complete	complete	ADJ
ejpam-6749	333	31	characteristic	characteristic	ADJ
ejpam-6749	333	32	polynomial	polynomial	NOUN
ejpam-6749	333	33	:	:	PUNCT
ejpam-6749	333	34	(	(	PUNCT
ejpam-6749	333	35	−µ−	−µ−	NOUN
ejpam-6749	333	36	λ)(−(µ+	λ)(−(µ+	PROPN
ejpam-6749	334	1	γ)−	γ)−	PROPN
ejpam-6749	335	1	λ)(βs∗	λ)(βs∗	PROPN
ejpam-6749	335	2	0	0	PUNCT
ejpam-6749	335	3	−	−	PROPN
ejpam-6749	335	4	(	(	PUNCT
ejpam-6749	335	5	φ+	φ+	X
ejpam-6749	335	6	δ	δ	X
ejpam-6749	335	7	+	+	PUNCT
ejpam-6749	335	8	µ)−	µ)−	NOUN
ejpam-6749	335	9	λ	λ	NOUN
ejpam-6749	335	10	)	)	PUNCT
ejpam-6749	335	11	.	.	PUNCT
ejpam-6749	336	1	this	this	PRON
ejpam-6749	336	2	immediately	immediately	ADV
ejpam-6749	336	3	reveals	reveal	VERB
ejpam-6749	336	4	the	the	DET
ejpam-6749	336	5	three	three	NUM
ejpam-6749	336	6	eigenvalues	eigenvalue	NOUN
ejpam-6749	336	7	:	:	PUNCT
ejpam-6749	336	8	λ1	λ1	ADJ
ejpam-6749	336	9	=	=	SYM
ejpam-6749	336	10	−µ	−µ	NOUN
ejpam-6749	336	11	<	<	X
ejpam-6749	336	12	0	0	NUM
ejpam-6749	336	13	,	,	PUNCT
ejpam-6749	336	14	(	(	PUNCT
ejpam-6749	336	15	11	11	NUM
ejpam-6749	336	16	)	)	PUNCT
ejpam-6749	336	17	m.	m.	NOUN
ejpam-6749	336	18	zorom	zorom	NOUN
ejpam-6749	336	19	et	et	PROPN
ejpam-6749	336	20	al	al	PROPN
ejpam-6749	336	21	.	.	PUNCT
ejpam-6749	336	22	/	/	SYM
ejpam-6749	336	23	eur	eur	PROPN
ejpam-6749	336	24	.	.	PUNCT
ejpam-6749	337	1	j.	j.	PROPN
ejpam-6749	337	2	pure	pure	PROPN
ejpam-6749	337	3	appl	appl	PROPN
ejpam-6749	337	4	.	.	PROPN
ejpam-6749	337	5	math	math	PROPN
ejpam-6749	337	6	,	,	PUNCT
ejpam-6749	337	7	18	18	NUM
ejpam-6749	337	8	(	(	PUNCT
ejpam-6749	337	9	4	4	NUM
ejpam-6749	337	10	)	)	PUNCT
ejpam-6749	337	11	(	(	PUNCT
ejpam-6749	337	12	2025	2025	NUM
ejpam-6749	337	13	)	)	PUNCT
ejpam-6749	337	14	,	,	PUNCT
ejpam-6749	337	15	6749	6749	NUM
ejpam-6749	337	16	16	16	NUM
ejpam-6749	337	17	of	of	ADP
ejpam-6749	337	18	47	47	NUM
ejpam-6749	337	19	λ2	λ2	NOUN
ejpam-6749	337	20	=	=	SYM
ejpam-6749	337	21	−(µ+	−(µ+	NUM
ejpam-6749	337	22	γ	γ	X
ejpam-6749	337	23	)	)	PUNCT
ejpam-6749	337	24	<	<	X
ejpam-6749	337	25	0	0	NUM
ejpam-6749	337	26	,	,	PUNCT
ejpam-6749	337	27	(	(	PUNCT
ejpam-6749	337	28	12	12	NUM
ejpam-6749	337	29	)	)	PUNCT
ejpam-6749	338	1	λ3	λ3	PROPN
ejpam-6749	338	2	=	=	PUNCT
ejpam-6749	338	3	βs∗	βs∗	NOUN
ejpam-6749	338	4	0	0	NUM
ejpam-6749	339	1	−	−	PROPN
ejpam-6749	339	2	(	(	PUNCT
ejpam-6749	339	3	φ+	φ+	X
ejpam-6749	339	4	δ	δ	PROPN
ejpam-6749	339	5	+	+	X
ejpam-6749	339	6	µ	µ	NUM
ejpam-6749	339	7	)	)	PUNCT
ejpam-6749	339	8	.	.	PUNCT
ejpam-6749	340	1	(	(	PUNCT
ejpam-6749	340	2	13	13	NUM
ejpam-6749	340	3	)	)	PUNCT
ejpam-6749	340	4	the	the	DET
ejpam-6749	340	5	first	first	ADJ
ejpam-6749	340	6	two	two	NUM
ejpam-6749	340	7	eigenvalues	eigenvalue	NOUN
ejpam-6749	340	8	are	be	AUX
ejpam-6749	340	9	always	always	ADV
ejpam-6749	340	10	negative	negative	ADJ
ejpam-6749	340	11	by	by	ADP
ejpam-6749	340	12	our	our	PRON
ejpam-6749	340	13	parameter	parameter	NOUN
ejpam-6749	340	14	positivity	positivity	NOUN
ejpam-6749	340	15	assumptions	assumption	NOUN
ejpam-6749	340	16	,	,	PUNCT
ejpam-6749	340	17	corresponding	correspond	VERB
ejpam-6749	340	18	to	to	ADP
ejpam-6749	340	19	stable	stable	ADJ
ejpam-6749	340	20	modes	mode	NOUN
ejpam-6749	340	21	in	in	ADP
ejpam-6749	340	22	the	the	DET
ejpam-6749	340	23	displaced	displace	VERB
ejpam-6749	340	24	population	population	NOUN
ejpam-6749	340	25	(	(	PUNCT
ejpam-6749	340	26	q	q	X
ejpam-6749	340	27	)	)	PUNCT
ejpam-6749	340	28	and	and	CCONJ
ejpam-6749	340	29	susceptible	susceptible	ADJ
ejpam-6749	340	30	population	population	NOUN
ejpam-6749	340	31	(	(	PUNCT
ejpam-6749	340	32	s	s	NOUN
ejpam-6749	340	33	)	)	PUNCT
ejpam-6749	340	34	dynamics	dynamic	NOUN
ejpam-6749	340	35	respectively	respectively	ADV
ejpam-6749	340	36	.	.	PUNCT
ejpam-6749	341	1	the	the	DET
ejpam-6749	341	2	stability	stability	NOUN
ejpam-6749	341	3	of	of	ADP
ejpam-6749	341	4	e0	e0	PROPN
ejpam-6749	341	5	is	be	AUX
ejpam-6749	341	6	therefore	therefore	ADV
ejpam-6749	341	7	determined	determine	VERB
ejpam-6749	341	8	entirely	entirely	ADV
ejpam-6749	341	9	by	by	ADP
ejpam-6749	341	10	the	the	DET
ejpam-6749	341	11	sign	sign	NOUN
ejpam-6749	341	12	of	of	ADP
ejpam-6749	341	13	the	the	DET
ejpam-6749	341	14	third	third	PROPN
ejpam-6749	341	15	eigenvalue	eigenvalue	PROPN
ejpam-6749	341	16	λ3	λ3	PROPN
ejpam-6749	341	17	,	,	PUNCT
ejpam-6749	341	18	which	which	PRON
ejpam-6749	341	19	governs	govern	VERB
ejpam-6749	341	20	the	the	DET
ejpam-6749	341	21	behavior	behavior	NOUN
ejpam-6749	341	22	of	of	ADP
ejpam-6749	341	23	perturbations	perturbation	NOUN
ejpam-6749	341	24	in	in	ADP
ejpam-6749	341	25	the	the	DET
ejpam-6749	341	26	terrorist	terrorist	ADJ
ejpam-6749	341	27	compartment	compartment	NOUN
ejpam-6749	341	28	.	.	PUNCT
ejpam-6749	342	1	following	follow	VERB
ejpam-6749	342	2	the	the	DET
ejpam-6749	342	3	fundamental	fundamental	ADJ
ejpam-6749	342	4	theorem	theorem	NOUN
ejpam-6749	342	5	of	of	ADP
ejpam-6749	342	6	linear	linear	PROPN
ejpam-6749	342	7	stability	stability	NOUN
ejpam-6749	342	8	(	(	PUNCT
ejpam-6749	342	9	see	see	VERB
ejpam-6749	342	10	hartman	hartman	PROPN
ejpam-6749	343	1	[	[	X
ejpam-6749	343	2	39	39	NUM
ejpam-6749	343	3	]	]	NUM
ejpam-6749	343	4	)	)	PUNCT
ejpam-6749	343	5	,	,	PUNCT
ejpam-6749	343	6	the	the	DET
ejpam-6749	343	7	terrorismfree	terrorismfree	NOUN
ejpam-6749	343	8	equilibrium	equilibrium	NOUN
ejpam-6749	343	9	is	be	AUX
ejpam-6749	343	10	locally	locally	ADV
ejpam-6749	343	11	asymptotically	asymptotically	ADV
ejpam-6749	343	12	stable	stable	ADJ
ejpam-6749	343	13	if	if	SCONJ
ejpam-6749	343	14	all	all	DET
ejpam-6749	343	15	eigenvalues	eigenvalue	NOUN
ejpam-6749	343	16	have	have	VERB
ejpam-6749	343	17	negative	negative	ADJ
ejpam-6749	343	18	real	real	ADJ
ejpam-6749	343	19	parts	part	NOUN
ejpam-6749	343	20	,	,	PUNCT
ejpam-6749	343	21	and	and	CCONJ
ejpam-6749	343	22	unstable	unstable	ADJ
ejpam-6749	343	23	if	if	SCONJ
ejpam-6749	343	24	any	any	DET
ejpam-6749	343	25	eigenvalue	eigenvalue	NOUN
ejpam-6749	343	26	has	have	VERB
ejpam-6749	343	27	positive	positive	ADJ
ejpam-6749	343	28	real	real	ADJ
ejpam-6749	343	29	part	part	NOUN
ejpam-6749	343	30	.	.	PUNCT
ejpam-6749	344	1	we	we	PRON
ejpam-6749	344	2	have	have	VERB
ejpam-6749	344	3	λ3	λ3	PROPN
ejpam-6749	344	4	<	<	X
ejpam-6749	344	5	0	0	PUNCT
ejpam-6749	345	1	if	if	SCONJ
ejpam-6749	345	2	and	and	CCONJ
ejpam-6749	345	3	only	only	ADV
ejpam-6749	345	4	if	if	SCONJ
ejpam-6749	345	5	βs∗	βs∗	PRON
ejpam-6749	345	6	0	0	PUNCT
ejpam-6749	345	7	<	<	X
ejpam-6749	345	8	φ+	φ+	X
ejpam-6749	345	9	δ	δ	PROPN
ejpam-6749	345	10	+	+	CCONJ
ejpam-6749	345	11	µ.	µ.	NOUN
ejpam-6749	345	12	substituting	substitute	VERB
ejpam-6749	345	13	the	the	DET
ejpam-6749	345	14	explicit	explicit	ADJ
ejpam-6749	345	15	expression	expression	NOUN
ejpam-6749	345	16	for	for	ADP
ejpam-6749	345	17	s∗	s∗	PROPN
ejpam-6749	345	18	0	0	NUM
ejpam-6749	345	19	:	:	PUNCT
ejpam-6749	345	20	βλ	βλ	PROPN
ejpam-6749	345	21	µ+	µ+	VERB
ejpam-6749	345	22	γ	γ	X
ejpam-6749	345	23	<	<	X
ejpam-6749	345	24	φ+	φ+	X
ejpam-6749	345	25	δ	δ	PROPN
ejpam-6749	345	26	+	+	PROPN
ejpam-6749	345	27	µ.	µ.	NOUN
ejpam-6749	345	28	rearranging	rearrange	VERB
ejpam-6749	345	29	this	this	DET
ejpam-6749	345	30	inequality	inequality	NOUN
ejpam-6749	345	31	:	:	PUNCT
ejpam-6749	345	32	βλ	βλ	INTJ
ejpam-6749	345	33	(	(	PUNCT
ejpam-6749	345	34	φ+	φ+	X
ejpam-6749	345	35	δ	δ	PROPN
ejpam-6749	345	36	+	+	CCONJ
ejpam-6749	345	37	µ)(µ+	µ)(µ+	PROPN
ejpam-6749	345	38	γ	γ	X
ejpam-6749	345	39	)	)	PUNCT
ejpam-6749	345	40	<	<	X
ejpam-6749	345	41	1	1	X
ejpam-6749	345	42	.	.	PUNCT
ejpam-6749	346	1	by	by	ADP
ejpam-6749	346	2	the	the	DET
ejpam-6749	346	3	definition	definition	NOUN
ejpam-6749	346	4	of	of	ADP
ejpam-6749	346	5	the	the	DET
ejpam-6749	346	6	basic	basic	ADJ
ejpam-6749	346	7	reproduction	reproduction	NOUN
ejpam-6749	346	8	number	number	NOUN
ejpam-6749	346	9	from	from	ADP
ejpam-6749	346	10	3	3	NUM
ejpam-6749	346	11	,	,	PUNCT
ejpam-6749	346	12	this	this	PRON
ejpam-6749	346	13	is	be	AUX
ejpam-6749	346	14	precisely	precisely	ADV
ejpam-6749	346	15	the	the	DET
ejpam-6749	346	16	condition	condition	NOUN
ejpam-6749	346	17	r0	r0	NOUN
ejpam-6749	346	18	<	<	X
ejpam-6749	346	19	1	1	NUM
ejpam-6749	346	20	.	.	X
ejpam-6749	347	1	5.2	5.2	NUM
ejpam-6749	347	2	.	.	PUNCT
ejpam-6749	348	1	stability	stability	NOUN
ejpam-6749	348	2	of	of	ADP
ejpam-6749	348	3	endemic	endemic	ADJ
ejpam-6749	348	4	equilibrium	equilibrium	NOUN
ejpam-6749	348	5	theorem	theorem	VERB
ejpam-6749	348	6	6	6	NUM
ejpam-6749	348	7	.	.	PUNCT
ejpam-6749	349	1	when	when	SCONJ
ejpam-6749	349	2	r0	r0	VERB
ejpam-6749	349	3	>	>	X
ejpam-6749	349	4	1	1	NUM
ejpam-6749	349	5	,	,	PUNCT
ejpam-6749	349	6	the	the	DET
ejpam-6749	349	7	endemic	endemic	ADJ
ejpam-6749	349	8	equilibrium	equilibrium	NOUN
ejpam-6749	349	9	e∗	e∗	NOUN
ejpam-6749	349	10	is	be	AUX
ejpam-6749	349	11	locally	locally	ADV
ejpam-6749	349	12	asymptotically	asymptotically	ADV
ejpam-6749	349	13	stable	stable	ADJ
ejpam-6749	349	14	.	.	PUNCT
ejpam-6749	350	1	proof	proof	NOUN
ejpam-6749	350	2	.	.	PUNCT
ejpam-6749	351	1	at	at	ADP
ejpam-6749	351	2	the	the	DET
ejpam-6749	351	3	endemic	endemic	ADJ
ejpam-6749	351	4	equilibrium	equilibrium	NOUN
ejpam-6749	351	5	e∗	e∗	NOUN
ejpam-6749	351	6	=	=	SYM
ejpam-6749	351	7	(	(	PUNCT
ejpam-6749	351	8	s∗	s∗	PROPN
ejpam-6749	351	9	,	,	PUNCT
ejpam-6749	351	10	t	t	PROPN
ejpam-6749	351	11	∗	∗	NOUN
ejpam-6749	351	12	,	,	PUNCT
ejpam-6749	351	13	q∗	q∗	PROPN
ejpam-6749	351	14	)	)	PUNCT
ejpam-6749	351	15	,	,	PUNCT
ejpam-6749	351	16	the	the	DET
ejpam-6749	351	17	jacobian	jacobian	PROPN
ejpam-6749	351	18	is	be	AUX
ejpam-6749	351	19	:	:	PUNCT
ejpam-6749	351	20	j(e∗	j(e∗	X
ejpam-6749	351	21	)	)	PUNCT
ejpam-6749	352	1	=	=	SYM
ejpam-6749	352	2			VERB
ejpam-6749	352	3			NOUN
ejpam-6749	352	4	−(µ+	−(µ+	PROPN
ejpam-6749	352	5	γ)−	γ)−	PROPN
ejpam-6749	352	6	(	(	PUNCT
ejpam-6749	352	7	β	β	X
ejpam-6749	352	8	+	+	CCONJ
ejpam-6749	352	9	k)t	k)t	X
ejpam-6749	352	10	∗	∗	NOUN
ejpam-6749	352	11	−(β	−(β	NOUN
ejpam-6749	352	12	+	+	CCONJ
ejpam-6749	352	13	k)s∗	k)s∗	PROPN
ejpam-6749	352	14	+	+	X
ejpam-6749	352	15	φ	φ	NUM
ejpam-6749	352	16	0	0	NUM
ejpam-6749	352	17	βt	βt	PROPN
ejpam-6749	352	18	∗	∗	NOUN
ejpam-6749	352	19	0	0	NUM
ejpam-6749	352	20	0	0	NUM
ejpam-6749	352	21	γ	γ	X
ejpam-6749	352	22	0	0	NUM
ejpam-6749	352	23	−µ	−µ	ADJ
ejpam-6749	352	24			PROPN
ejpam-6749	352	25			PUNCT
ejpam-6749	353	1	since	since	SCONJ
ejpam-6749	353	2	βs∗	βs∗	PUNCT
ejpam-6749	353	3	=	=	SYM
ejpam-6749	353	4	φ+	φ+	VERB
ejpam-6749	353	5	δ	δ	X
ejpam-6749	353	6	+	+	X
ejpam-6749	353	7	µ	µ	X
ejpam-6749	353	8	at	at	ADP
ejpam-6749	353	9	equilibrium	equilibrium	NOUN
ejpam-6749	353	10	,	,	PUNCT
ejpam-6749	353	11	the	the	DET
ejpam-6749	353	12	(	(	PUNCT
ejpam-6749	353	13	1	1	NUM
ejpam-6749	353	14	,	,	PUNCT
ejpam-6749	353	15	2	2	NUM
ejpam-6749	353	16	)	)	PUNCT
ejpam-6749	353	17	entry	entry	NOUN
ejpam-6749	353	18	becomes	become	VERB
ejpam-6749	353	19	:	:	PUNCT
ejpam-6749	353	20	−(β	−(β	VERB
ejpam-6749	353	21	+	+	CCONJ
ejpam-6749	353	22	k)s∗	k)s∗	PROPN
ejpam-6749	353	23	+	+	NUM
ejpam-6749	354	1	φ	φ	NOUN
ejpam-6749	354	2	=	=	SYM
ejpam-6749	354	3	−(β	−(β	PROPN
ejpam-6749	354	4	+	+	CCONJ
ejpam-6749	354	5	k	k	X
ejpam-6749	354	6	)	)	PUNCT
ejpam-6749	354	7	φ+	φ+	VERB
ejpam-6749	354	8	δ	δ	PROPN
ejpam-6749	354	9	+	+	X
ejpam-6749	354	10	µ	µ	X
ejpam-6749	354	11	β	β	X
ejpam-6749	354	12	+	+	PROPN
ejpam-6749	354	13	φ	φ	X
ejpam-6749	354	14	=	=	SYM
ejpam-6749	354	15	−(β	−(β	PROPN
ejpam-6749	354	16	+	+	CCONJ
ejpam-6749	354	17	k)(φ+	k)(φ+	NOUN
ejpam-6749	354	18	δ	δ	PROPN
ejpam-6749	354	19	+	+	X
ejpam-6749	354	20	µ	µ	X
ejpam-6749	354	21	)	)	PUNCT
ejpam-6749	355	1	+	+	CCONJ
ejpam-6749	355	2	βφ	βφ	PRON
ejpam-6749	355	3	β	β	NOUN
ejpam-6749	355	4	=	=	SYM
ejpam-6749	355	5	−β(δ	−β(δ	NOUN
ejpam-6749	355	6	+	+	CCONJ
ejpam-6749	355	7	µ)−	µ)−	NOUN
ejpam-6749	355	8	k(φ+	k(φ+	NOUN
ejpam-6749	355	9	δ	δ	PROPN
ejpam-6749	355	10	+	+	X
ejpam-6749	355	11	µ	µ	X
ejpam-6749	355	12	)	)	PUNCT
ejpam-6749	355	13	β	β	X
ejpam-6749	355	14	<	<	X
ejpam-6749	355	15	0	0	PUNCT
ejpam-6749	356	1	the	the	DET
ejpam-6749	356	2	characteristic	characteristic	ADJ
ejpam-6749	356	3	polynomial	polynomial	NOUN
ejpam-6749	356	4	is	be	AUX
ejpam-6749	356	5	:	:	PUNCT
ejpam-6749	356	6	det(j(e∗)−	det(j(e∗)−	ADJ
ejpam-6749	356	7	λi	λi	X
ejpam-6749	356	8	)	)	PUNCT
ejpam-6749	356	9	=	=	PUNCT
ejpam-6749	356	10	(	(	PUNCT
ejpam-6749	356	11	λ+	λ+	NUM
ejpam-6749	356	12	µ)[λ2	µ)[λ2	X
ejpam-6749	356	13	+	+	CCONJ
ejpam-6749	357	1	aλ+	aλ+	PROPN
ejpam-6749	357	2	b	b	X
ejpam-6749	357	3	]	]	X
ejpam-6749	357	4	m.	m.	NOUN
ejpam-6749	357	5	zorom	zorom	NOUN
ejpam-6749	357	6	et	et	PROPN
ejpam-6749	357	7	al	al	PROPN
ejpam-6749	357	8	.	.	PUNCT
ejpam-6749	357	9	/	/	SYM
ejpam-6749	357	10	eur	eur	PROPN
ejpam-6749	357	11	.	.	PUNCT
ejpam-6749	358	1	j.	j.	PROPN
ejpam-6749	358	2	pure	pure	PROPN
ejpam-6749	358	3	appl	appl	PROPN
ejpam-6749	358	4	.	.	PROPN
ejpam-6749	358	5	math	math	PROPN
ejpam-6749	358	6	,	,	PUNCT
ejpam-6749	358	7	18	18	NUM
ejpam-6749	358	8	(	(	PUNCT
ejpam-6749	358	9	4	4	NUM
ejpam-6749	358	10	)	)	PUNCT
ejpam-6749	358	11	(	(	PUNCT
ejpam-6749	358	12	2025	2025	NUM
ejpam-6749	358	13	)	)	PUNCT
ejpam-6749	358	14	,	,	PUNCT
ejpam-6749	358	15	6749	6749	NUM
ejpam-6749	358	16	17	17	NUM
ejpam-6749	358	17	of	of	ADP
ejpam-6749	358	18	47	47	NUM
ejpam-6749	359	1	where	where	SCONJ
ejpam-6749	359	2	:	:	PUNCT
ejpam-6749	359	3	a	a	X
ejpam-6749	359	4	=	=	X
ejpam-6749	359	5	(	(	PUNCT
ejpam-6749	359	6	µ+	µ+	X
ejpam-6749	359	7	γ	γ	X
ejpam-6749	359	8	)	)	PUNCT
ejpam-6749	359	9	+	+	CCONJ
ejpam-6749	359	10	(	(	PUNCT
ejpam-6749	359	11	β	β	X
ejpam-6749	359	12	+	+	CCONJ
ejpam-6749	359	13	k)t	k)t	X
ejpam-6749	359	14	∗	∗	NOUN
ejpam-6749	359	15	>	>	X
ejpam-6749	359	16	0	0	PUNCT
ejpam-6749	359	17	(	(	PUNCT
ejpam-6749	359	18	14	14	NUM
ejpam-6749	359	19	)	)	PUNCT
ejpam-6749	359	20	b	b	NOUN
ejpam-6749	359	21	=	=	SYM
ejpam-6749	359	22	−βt	−βt	NOUN
ejpam-6749	359	23	∗	∗	NOUN
ejpam-6749	359	24	·	·	PUNCT
ejpam-6749	360	1	−β(δ	−β(δ	NOUN
ejpam-6749	360	2	+	+	PUNCT
ejpam-6749	360	3	µ)−	µ)−	NOUN
ejpam-6749	360	4	k(φ+	k(φ+	NOUN
ejpam-6749	360	5	δ	δ	PROPN
ejpam-6749	360	6	+	+	X
ejpam-6749	360	7	µ	µ	X
ejpam-6749	360	8	)	)	PUNCT
ejpam-6749	360	9	β	β	X
ejpam-6749	360	10	(	(	PUNCT
ejpam-6749	360	11	15	15	NUM
ejpam-6749	360	12	)	)	PUNCT
ejpam-6749	360	13	=	=	SYM
ejpam-6749	361	1	t	t	PROPN
ejpam-6749	361	2	∗[β(δ	∗[β(δ	ADV
ejpam-6749	361	3	+	+	CCONJ
ejpam-6749	361	4	µ	µ	X
ejpam-6749	361	5	)	)	PUNCT
ejpam-6749	361	6	+	+	NUM
ejpam-6749	361	7	k(φ+	k(φ+	PROPN
ejpam-6749	361	8	δ	δ	PROPN
ejpam-6749	361	9	+	+	X
ejpam-6749	361	10	µ	µ	X
ejpam-6749	361	11	)	)	PUNCT
ejpam-6749	361	12	]	]	PUNCT
ejpam-6749	361	13	>	>	X
ejpam-6749	361	14	0	0	PUNCT
ejpam-6749	362	1	(	(	PUNCT
ejpam-6749	362	2	16	16	NUM
ejpam-6749	362	3	)	)	PUNCT
ejpam-6749	362	4	by	by	ADP
ejpam-6749	362	5	the	the	DET
ejpam-6749	362	6	routh	routh	PROPN
ejpam-6749	362	7	-	-	PUNCT
ejpam-6749	362	8	hurwitz	hurwitz	PROPN
ejpam-6749	362	9	criterion	criterion	NOUN
ejpam-6749	362	10	,	,	PUNCT
ejpam-6749	362	11	since	since	SCONJ
ejpam-6749	362	12	a	a	DET
ejpam-6749	362	13	>	>	X
ejpam-6749	362	14	0	0	NUM
ejpam-6749	362	15	and	and	CCONJ
ejpam-6749	362	16	b	b	X
ejpam-6749	362	17	>	>	X
ejpam-6749	362	18	0	0	NUM
ejpam-6749	362	19	,	,	PUNCT
ejpam-6749	362	20	all	all	PRON
ejpam-6749	362	21	eigenvalues	eigenvalue	NOUN
ejpam-6749	362	22	have	have	VERB
ejpam-6749	362	23	negative	negative	ADJ
ejpam-6749	362	24	real	real	ADJ
ejpam-6749	362	25	parts	part	NOUN
ejpam-6749	362	26	,	,	PUNCT
ejpam-6749	362	27	establishing	establish	VERB
ejpam-6749	362	28	local	local	ADJ
ejpam-6749	362	29	asymptotic	asymptotic	ADJ
ejpam-6749	362	30	stability	stability	NOUN
ejpam-6749	362	31	.	.	PUNCT
ejpam-6749	363	1	6	6	X
ejpam-6749	363	2	.	.	X
ejpam-6749	363	3	global	global	ADJ
ejpam-6749	363	4	stability	stability	NOUN
ejpam-6749	363	5	of	of	ADP
ejpam-6749	363	6	terrorism	terrorism	NOUN
ejpam-6749	363	7	-	-	PUNCT
ejpam-6749	363	8	free	free	ADJ
ejpam-6749	363	9	and	and	CCONJ
ejpam-6749	363	10	endemic	endemic	ADJ
ejpam-6749	363	11	equilibrium	equilibrium	NOUN
ejpam-6749	363	12	the	the	DET
ejpam-6749	363	13	global	global	ADJ
ejpam-6749	363	14	stability	stability	NOUN
ejpam-6749	363	15	analysis	analysis	NOUN
ejpam-6749	363	16	requires	require	VERB
ejpam-6749	363	17	construction	construction	NOUN
ejpam-6749	363	18	of	of	ADP
ejpam-6749	363	19	appropriate	appropriate	ADJ
ejpam-6749	363	20	lyapunov	lyapunov	ADJ
ejpam-6749	363	21	functions	function	NOUN
ejpam-6749	363	22	that	that	PRON
ejpam-6749	363	23	capture	capture	VERB
ejpam-6749	363	24	the	the	DET
ejpam-6749	363	25	long	long	ADJ
ejpam-6749	363	26	-	-	PUNCT
ejpam-6749	363	27	term	term	NOUN
ejpam-6749	363	28	behavior	behavior	NOUN
ejpam-6749	363	29	throughout	throughout	ADP
ejpam-6749	363	30	the	the	DET
ejpam-6749	363	31	entire	entire	ADJ
ejpam-6749	363	32	feasible	feasible	ADJ
ejpam-6749	363	33	region	region	NOUN
ejpam-6749	363	34	.	.	PUNCT
ejpam-6749	364	1	this	this	DET
ejpam-6749	364	2	approach	approach	NOUN
ejpam-6749	364	3	follows	follow	VERB
ejpam-6749	364	4	the	the	DET
ejpam-6749	364	5	fundamental	fundamental	ADJ
ejpam-6749	364	6	theory	theory	NOUN
ejpam-6749	364	7	developed	develop	VERB
ejpam-6749	364	8	by	by	ADP
ejpam-6749	364	9	lyapunov	lyapunov	NOUN
ejpam-6749	364	10	[	[	X
ejpam-6749	364	11	59	59	NUM
ejpam-6749	364	12	]	]	PUNCT
ejpam-6749	364	13	and	and	CCONJ
ejpam-6749	364	14	extended	extend	VERB
ejpam-6749	364	15	by	by	ADP
ejpam-6749	364	16	lasalle	lasalle	PROPN
ejpam-6749	365	1	[	[	X
ejpam-6749	365	2	57	57	NUM
ejpam-6749	365	3	]	]	PUNCT
ejpam-6749	365	4	through	through	ADP
ejpam-6749	365	5	the	the	DET
ejpam-6749	365	6	invariance	invariance	NOUN
ejpam-6749	365	7	principle	principle	NOUN
ejpam-6749	365	8	.	.	PUNCT
ejpam-6749	366	1	6.1	6.1	NUM
ejpam-6749	366	2	.	.	PUNCT
ejpam-6749	366	3	global	global	ADJ
ejpam-6749	366	4	stability	stability	NOUN
ejpam-6749	366	5	of	of	ADP
ejpam-6749	366	6	terrorism	terrorism	NOUN
ejpam-6749	366	7	-	-	PUNCT
ejpam-6749	366	8	free	free	ADJ
ejpam-6749	366	9	equilibrium	equilibrium	NOUN
ejpam-6749	366	10	theorem	theorem	VERB
ejpam-6749	366	11	7	7	NUM
ejpam-6749	366	12	.	.	PUNCT
ejpam-6749	367	1	if	if	SCONJ
ejpam-6749	367	2	r0	r0	VERB
ejpam-6749	367	3	≤	≤	NOUN
ejpam-6749	367	4	1	1	NUM
ejpam-6749	367	5	,	,	PUNCT
ejpam-6749	367	6	then	then	ADV
ejpam-6749	367	7	the	the	DET
ejpam-6749	367	8	terrorism	terrorism	NOUN
ejpam-6749	367	9	-	-	PUNCT
ejpam-6749	367	10	free	free	ADJ
ejpam-6749	367	11	equilibrium	equilibrium	NOUN
ejpam-6749	367	12	e0	e0	PROPN
ejpam-6749	367	13	is	be	AUX
ejpam-6749	367	14	globally	globally	ADV
ejpam-6749	367	15	asymptotically	asymptotically	ADV
ejpam-6749	367	16	stable	stable	ADJ
ejpam-6749	367	17	in	in	ADP
ejpam-6749	367	18	ω	ω	PROPN
ejpam-6749	367	19	.	.	PUNCT
ejpam-6749	368	1	proof	proof	NOUN
ejpam-6749	368	2	.	.	PUNCT
ejpam-6749	369	1	the	the	DET
ejpam-6749	369	2	proof	proof	NOUN
ejpam-6749	369	3	utilizes	utilize	VERB
ejpam-6749	369	4	the	the	DET
ejpam-6749	369	5	lyapunov	lyapunov	ADJ
ejpam-6749	369	6	direct	direct	ADJ
ejpam-6749	369	7	method	method	NOUN
ejpam-6749	369	8	as	as	SCONJ
ejpam-6749	369	9	systematically	systematically	ADV
ejpam-6749	369	10	developed	develop	VERB
ejpam-6749	369	11	by	by	ADP
ejpam-6749	369	12	khalil	khalil	PROPN
ejpam-6749	370	1	[	[	X
ejpam-6749	370	2	58	58	NUM
ejpam-6749	370	3	]	]	PUNCT
ejpam-6749	370	4	,	,	PUNCT
ejpam-6749	370	5	adapted	adapt	VERB
ejpam-6749	370	6	to	to	ADP
ejpam-6749	370	7	compartmental	compartmental	ADJ
ejpam-6749	370	8	models	model	NOUN
ejpam-6749	370	9	following	follow	VERB
ejpam-6749	370	10	the	the	DET
ejpam-6749	370	11	approach	approach	NOUN
ejpam-6749	370	12	pioneered	pioneer	VERB
ejpam-6749	370	13	by	by	ADP
ejpam-6749	370	14	li	li	PROPN
ejpam-6749	370	15	and	and	CCONJ
ejpam-6749	370	16	muldowney	muldowney	NOUN
ejpam-6749	370	17	[	[	X
ejpam-6749	370	18	52	52	NUM
ejpam-6749	370	19	]	]	PUNCT
ejpam-6749	370	20	and	and	CCONJ
ejpam-6749	370	21	refined	refine	VERB
ejpam-6749	370	22	by	by	ADP
ejpam-6749	370	23	korobeinikov	korobeinikov	NOUN
ejpam-6749	370	24	and	and	CCONJ
ejpam-6749	370	25	wake	wake	VERB
ejpam-6749	370	26	[	[	X
ejpam-6749	370	27	61	61	NUM
ejpam-6749	370	28	]	]	PUNCT
ejpam-6749	370	29	.	.	PUNCT
ejpam-6749	371	1	we	we	PRON
ejpam-6749	371	2	construct	construct	VERB
ejpam-6749	371	3	a	a	DET
ejpam-6749	371	4	candidate	candidate	NOUN
ejpam-6749	371	5	lyapunov	lyapunov	NOUN
ejpam-6749	371	6	function	function	NOUN
ejpam-6749	371	7	that	that	PRON
ejpam-6749	371	8	measures	measure	VERB
ejpam-6749	371	9	the	the	DET
ejpam-6749	371	10	distance	distance	NOUN
ejpam-6749	371	11	from	from	ADP
ejpam-6749	371	12	the	the	DET
ejpam-6749	371	13	terrorism	terrorism	NOUN
ejpam-6749	371	14	-	-	PUNCT
ejpam-6749	371	15	free	free	ADJ
ejpam-6749	371	16	state	state	NOUN
ejpam-6749	371	17	in	in	ADP
ejpam-6749	371	18	terms	term	NOUN
ejpam-6749	371	19	of	of	ADP
ejpam-6749	371	20	the	the	DET
ejpam-6749	371	21	infected	infected	ADJ
ejpam-6749	371	22	compartment	compartment	NOUN
ejpam-6749	371	23	:	:	PUNCT
ejpam-6749	371	24	v1(s	v1(s	NUM
ejpam-6749	371	25	,	,	PUNCT
ejpam-6749	371	26	t	t	PROPN
ejpam-6749	371	27	,	,	PUNCT
ejpam-6749	371	28	q	q	NOUN
ejpam-6749	371	29	)	)	PUNCT
ejpam-6749	371	30	=	=	PUNCT
ejpam-6749	372	1	t.	t.	NOUN
ejpam-6749	372	2	this	this	DET
ejpam-6749	372	3	choice	choice	NOUN
ejpam-6749	372	4	follows	follow	VERB
ejpam-6749	372	5	naturally	naturally	ADV
ejpam-6749	372	6	from	from	ADP
ejpam-6749	372	7	the	the	DET
ejpam-6749	372	8	epidemiological	epidemiological	ADJ
ejpam-6749	372	9	interpretation	interpretation	NOUN
ejpam-6749	372	10	:	:	PUNCT
ejpam-6749	372	11	in	in	ADP
ejpam-6749	372	12	the	the	DET
ejpam-6749	372	13	terrorismfree	terrorismfree	NOUN
ejpam-6749	372	14	state	state	NOUN
ejpam-6749	372	15	,	,	PUNCT
ejpam-6749	372	16	we	we	PRON
ejpam-6749	372	17	have	have	VERB
ejpam-6749	372	18	t	t	NOUN
ejpam-6749	372	19	=	=	SYM
ejpam-6749	372	20	0	0	NUM
ejpam-6749	372	21	,	,	PUNCT
ejpam-6749	372	22	so	so	ADV
ejpam-6749	372	23	v1	v1	VERB
ejpam-6749	372	24	measures	measure	NOUN
ejpam-6749	372	25	the	the	DET
ejpam-6749	372	26	magnitude	magnitude	NOUN
ejpam-6749	372	27	of	of	ADP
ejpam-6749	372	28	the	the	DET
ejpam-6749	372	29	terrorist	terrorist	ADJ
ejpam-6749	372	30	population	population	NOUN
ejpam-6749	372	31	.	.	PUNCT
ejpam-6749	373	1	by	by	ADP
ejpam-6749	373	2	construction	construction	NOUN
ejpam-6749	373	3	,	,	PUNCT
ejpam-6749	373	4	v1	v1	VERB
ejpam-6749	373	5	≥	≥	NOUN
ejpam-6749	373	6	0	0	NUM
ejpam-6749	373	7	throughout	throughout	ADP
ejpam-6749	373	8	ω	ω	PROPN
ejpam-6749	373	9	,	,	PUNCT
ejpam-6749	373	10	with	with	ADP
ejpam-6749	373	11	v1	v1	NOUN
ejpam-6749	373	12	=	=	SYM
ejpam-6749	373	13	0	0	PUNCT
ejpam-6749	374	1	if	if	SCONJ
ejpam-6749	374	2	and	and	CCONJ
ejpam-6749	374	3	only	only	ADV
ejpam-6749	374	4	if	if	SCONJ
ejpam-6749	374	5	t	t	NOUN
ejpam-6749	374	6	=	=	SYM
ejpam-6749	374	7	0	0	PUNCT
ejpam-6749	374	8	(	(	PUNCT
ejpam-6749	374	9	the	the	DET
ejpam-6749	374	10	terrorism	terrorism	NOUN
ejpam-6749	374	11	-	-	PUNCT
ejpam-6749	374	12	free	free	ADJ
ejpam-6749	374	13	condition	condition	NOUN
ejpam-6749	374	14	)	)	PUNCT
ejpam-6749	374	15	.	.	PUNCT
ejpam-6749	375	1	computing	compute	VERB
ejpam-6749	375	2	the	the	DET
ejpam-6749	375	3	time	time	NOUN
ejpam-6749	375	4	derivative	derivative	ADJ
ejpam-6749	375	5	of	of	ADP
ejpam-6749	375	6	v1	v1	NOUN
ejpam-6749	375	7	along	along	ADP
ejpam-6749	375	8	solution	solution	NOUN
ejpam-6749	375	9	trajectories	trajectory	NOUN
ejpam-6749	375	10	of	of	ADP
ejpam-6749	375	11	system	system	NOUN
ejpam-6749	375	12	(	(	PUNCT
ejpam-6749	375	13	1	1	X
ejpam-6749	375	14	)	)	PUNCT
ejpam-6749	375	15	using	use	VERB
ejpam-6749	375	16	the	the	DET
ejpam-6749	375	17	chain	chain	NOUN
ejpam-6749	375	18	rule	rule	NOUN
ejpam-6749	375	19	:	:	PUNCT
ejpam-6749	375	20	dv1	dv1	NOUN
ejpam-6749	375	21	dt	dt	NOUN
ejpam-6749	375	22	=	=	PUNCT
ejpam-6749	376	1	dt	dt	X
ejpam-6749	376	2	dt	dt	X
ejpam-6749	377	1	=	=	PUNCT
ejpam-6749	377	2	βst	βst	PROPN
ejpam-6749	377	3	−	−	PROPN
ejpam-6749	378	1	(	(	PUNCT
ejpam-6749	378	2	φ+	φ+	X
ejpam-6749	378	3	δ	δ	X
ejpam-6749	378	4	+	+	CCONJ
ejpam-6749	378	5	µ)t	µ)t	NOUN
ejpam-6749	378	6	=	=	SYM
ejpam-6749	378	7	t	t	PROPN
ejpam-6749	379	1	[	[	X
ejpam-6749	379	2	βs	βs	X
ejpam-6749	379	3	−	−	NOUN
ejpam-6749	379	4	(	(	PUNCT
ejpam-6749	379	5	φ+	φ+	X
ejpam-6749	379	6	δ	δ	PROPN
ejpam-6749	379	7	+	+	X
ejpam-6749	379	8	µ	µ	NUM
ejpam-6749	379	9	)	)	PUNCT
ejpam-6749	379	10	]	]	PUNCT
ejpam-6749	379	11	.	.	PUNCT
ejpam-6749	380	1	the	the	DET
ejpam-6749	380	2	sign	sign	NOUN
ejpam-6749	380	3	of	of	ADP
ejpam-6749	380	4	dv1	dv1	NOUN
ejpam-6749	380	5	dt	dt	PUNCT
ejpam-6749	380	6	depends	depend	VERB
ejpam-6749	380	7	on	on	ADP
ejpam-6749	380	8	the	the	DET
ejpam-6749	380	9	bracket	bracket	ADJ
ejpam-6749	380	10	term	term	NOUN
ejpam-6749	380	11	[	[	X
ejpam-6749	380	12	βs	βs	X
ejpam-6749	380	13	−	−	NOUN
ejpam-6749	380	14	(	(	PUNCT
ejpam-6749	380	15	φ	φ	PROPN
ejpam-6749	380	16	+	+	PROPN
ejpam-6749	380	17	δ	δ	PROPN
ejpam-6749	380	18	+	+	X
ejpam-6749	380	19	µ	µ	NOUN
ejpam-6749	380	20	)	)	PUNCT
ejpam-6749	380	21	]	]	PUNCT
ejpam-6749	380	22	.	.	PUNCT
ejpam-6749	381	1	to	to	PART
ejpam-6749	381	2	analyze	analyze	VERB
ejpam-6749	381	3	this	this	DET
ejpam-6749	381	4	expression	expression	NOUN
ejpam-6749	381	5	globally	globally	ADV
ejpam-6749	381	6	,	,	PUNCT
ejpam-6749	381	7	we	we	PRON
ejpam-6749	381	8	must	must	AUX
ejpam-6749	381	9	understand	understand	VERB
ejpam-6749	381	10	the	the	DET
ejpam-6749	381	11	long	long	ADJ
ejpam-6749	381	12	-	-	PUNCT
ejpam-6749	381	13	term	term	NOUN
ejpam-6749	381	14	behavior	behavior	NOUN
ejpam-6749	381	15	of	of	ADP
ejpam-6749	381	16	s(t	s(t	PROPN
ejpam-6749	381	17	)	)	PUNCT
ejpam-6749	381	18	.	.	PUNCT
ejpam-6749	382	1	from	from	ADP
ejpam-6749	382	2	the	the	DET
ejpam-6749	382	3	first	first	ADJ
ejpam-6749	382	4	equation	equation	NOUN
ejpam-6749	382	5	of	of	ADP
ejpam-6749	382	6	system	system	NOUN
ejpam-6749	382	7	(	(	PUNCT
ejpam-6749	382	8	1	1	NUM
ejpam-6749	382	9	)	)	PUNCT
ejpam-6749	382	10	,	,	PUNCT
ejpam-6749	382	11	the	the	DET
ejpam-6749	382	12	susceptible	susceptible	ADJ
ejpam-6749	382	13	population	population	NOUN
ejpam-6749	382	14	dynamics	dynamic	NOUN
ejpam-6749	382	15	are	be	AUX
ejpam-6749	382	16	governed	govern	VERB
ejpam-6749	382	17	by	by	ADP
ejpam-6749	382	18	:	:	PUNCT
ejpam-6749	382	19	ds	ds	ADJ
ejpam-6749	382	20	dt	dt	NOUN
ejpam-6749	382	21	=	=	SYM
ejpam-6749	382	22	λ−	λ−	PROPN
ejpam-6749	382	23	(	(	PUNCT
ejpam-6749	382	24	µ+	µ+	X
ejpam-6749	382	25	γ)s	γ)s	PUNCT
ejpam-6749	382	26	−	−	PROPN
ejpam-6749	382	27	(	(	PUNCT
ejpam-6749	382	28	β	β	X
ejpam-6749	382	29	+	+	X
ejpam-6749	382	30	k)st	k)st	PROPN
ejpam-6749	382	31	+	+	CCONJ
ejpam-6749	382	32	φt	φt	PROPN
ejpam-6749	382	33	.	.	PROPN
ejpam-6749	382	34	m.	m.	NOUN
ejpam-6749	382	35	zorom	zorom	NOUN
ejpam-6749	382	36	et	et	PROPN
ejpam-6749	382	37	al	al	PROPN
ejpam-6749	382	38	.	.	PUNCT
ejpam-6749	382	39	/	/	SYM
ejpam-6749	382	40	eur	eur	PROPN
ejpam-6749	382	41	.	.	PUNCT
ejpam-6749	383	1	j.	j.	PROPN
ejpam-6749	383	2	pure	pure	PROPN
ejpam-6749	383	3	appl	appl	PROPN
ejpam-6749	383	4	.	.	PROPN
ejpam-6749	383	5	math	math	PROPN
ejpam-6749	383	6	,	,	PUNCT
ejpam-6749	383	7	18	18	NUM
ejpam-6749	383	8	(	(	PUNCT
ejpam-6749	383	9	4	4	NUM
ejpam-6749	383	10	)	)	PUNCT
ejpam-6749	383	11	(	(	PUNCT
ejpam-6749	383	12	2025	2025	NUM
ejpam-6749	383	13	)	)	PUNCT
ejpam-6749	383	14	,	,	PUNCT
ejpam-6749	383	15	6749	6749	NUM
ejpam-6749	383	16	18	18	NUM
ejpam-6749	383	17	of	of	ADP
ejpam-6749	383	18	47	47	NUM
ejpam-6749	383	19	when	when	SCONJ
ejpam-6749	383	20	the	the	DET
ejpam-6749	383	21	terrorist	terrorist	ADJ
ejpam-6749	383	22	population	population	NOUN
ejpam-6749	383	23	is	be	AUX
ejpam-6749	383	24	small	small	ADJ
ejpam-6749	383	25	(	(	PUNCT
ejpam-6749	383	26	t	t	PROPN
ejpam-6749	383	27	≈	≈	PROPN
ejpam-6749	383	28	0	0	NUM
ejpam-6749	383	29	)	)	PUNCT
ejpam-6749	383	30	,	,	PUNCT
ejpam-6749	383	31	this	this	DET
ejpam-6749	383	32	equation	equation	NOUN
ejpam-6749	383	33	approximately	approximately	ADV
ejpam-6749	383	34	becomes	become	VERB
ejpam-6749	383	35	:	:	PUNCT
ejpam-6749	383	36	ds	ds	ADP
ejpam-6749	383	37	dt	dt	X
ejpam-6749	383	38	≈	≈	PROPN
ejpam-6749	383	39	λ−	λ−	PROPN
ejpam-6749	383	40	(	(	PUNCT
ejpam-6749	383	41	µ+	µ+	X
ejpam-6749	383	42	γ)s	γ)s	PUNCT
ejpam-6749	383	43	+	+	NUM
ejpam-6749	383	44	φt	φt	NOUN
ejpam-6749	383	45	−	−	PROPN
ejpam-6749	383	46	(	(	PUNCT
ejpam-6749	383	47	β	β	X
ejpam-6749	383	48	+	+	X
ejpam-6749	383	49	k)st	k)st	PROPN
ejpam-6749	383	50	.	.	PUNCT
ejpam-6749	384	1	for	for	ADP
ejpam-6749	384	2	small	small	ADJ
ejpam-6749	384	3	values	value	NOUN
ejpam-6749	384	4	of	of	ADP
ejpam-6749	384	5	t	t	PROPN
ejpam-6749	384	6	,	,	PUNCT
ejpam-6749	384	7	the	the	DET
ejpam-6749	384	8	nonlinear	nonlinear	ADJ
ejpam-6749	384	9	terms	term	NOUN
ejpam-6749	384	10	φt	φt	VERB
ejpam-6749	384	11	and	and	CCONJ
ejpam-6749	384	12	(	(	PUNCT
ejpam-6749	384	13	β	β	X
ejpam-6749	385	1	+	+	X
ejpam-6749	386	1	k)st	k)st	NOUN
ejpam-6749	386	2	become	become	VERB
ejpam-6749	386	3	negligible	negligible	ADJ
ejpam-6749	386	4	compared	compare	VERB
ejpam-6749	386	5	to	to	ADP
ejpam-6749	386	6	the	the	DET
ejpam-6749	386	7	linear	linear	ADJ
ejpam-6749	386	8	recruitment	recruitment	NOUN
ejpam-6749	386	9	and	and	CCONJ
ejpam-6749	386	10	loss	loss	NOUN
ejpam-6749	386	11	terms	term	NOUN
ejpam-6749	386	12	.	.	PUNCT
ejpam-6749	387	1	the	the	DET
ejpam-6749	387	2	dominant	dominant	ADJ
ejpam-6749	387	3	behavior	behavior	NOUN
ejpam-6749	387	4	is	be	AUX
ejpam-6749	387	5	therefore	therefore	ADV
ejpam-6749	387	6	governed	govern	VERB
ejpam-6749	387	7	by	by	ADP
ejpam-6749	387	8	the	the	DET
ejpam-6749	387	9	linear	linear	PROPN
ejpam-6749	387	10	equation	equation	NOUN
ejpam-6749	387	11	:	:	PUNCT
ejpam-6749	387	12	ds	ds	ADP
ejpam-6749	387	13	dt	dt	X
ejpam-6749	387	14	≈	≈	PROPN
ejpam-6749	387	15	λ−	λ−	PROPN
ejpam-6749	387	16	(	(	PUNCT
ejpam-6749	387	17	µ+	µ+	X
ejpam-6749	387	18	γ)s	γ)	NOUN
ejpam-6749	387	19	,	,	PUNCT
ejpam-6749	387	20	which	which	PRON
ejpam-6749	387	21	has	have	VERB
ejpam-6749	387	22	the	the	DET
ejpam-6749	387	23	unique	unique	ADJ
ejpam-6749	387	24	equilibrium	equilibrium	NOUN
ejpam-6749	387	25	s	s	PART
ejpam-6749	387	26	=	=	SYM
ejpam-6749	387	27	λ	λ	X
ejpam-6749	387	28	µ+γ	µ+γ	X
ejpam-6749	387	29	=	=	SYM
ejpam-6749	387	30	s∗	s∗	PROPN
ejpam-6749	387	31	0	0	NUM
ejpam-6749	387	32	.	.	PUNCT
ejpam-6749	388	1	by	by	ADP
ejpam-6749	388	2	standard	standard	ADJ
ejpam-6749	388	3	results	result	NOUN
ejpam-6749	388	4	for	for	ADP
ejpam-6749	388	5	linear	linear	PROPN
ejpam-6749	388	6	differential	differential	ADJ
ejpam-6749	388	7	equations	equation	NOUN
ejpam-6749	388	8	(	(	PUNCT
ejpam-6749	388	9	see	see	VERB
ejpam-6749	388	10	boyce	boyce	PROPN
ejpam-6749	388	11	and	and	CCONJ
ejpam-6749	388	12	diprima	diprima	PROPN
ejpam-6749	389	1	[	[	X
ejpam-6749	389	2	36	36	NUM
ejpam-6749	389	3	]	]	NUM
ejpam-6749	389	4	)	)	PUNCT
ejpam-6749	389	5	,	,	PUNCT
ejpam-6749	389	6	this	this	DET
ejpam-6749	389	7	linear	linear	ADJ
ejpam-6749	389	8	system	system	NOUN
ejpam-6749	389	9	is	be	AUX
ejpam-6749	389	10	globally	globally	ADV
ejpam-6749	389	11	asymptotically	asymptotically	ADV
ejpam-6749	389	12	stable	stable	ADJ
ejpam-6749	389	13	,	,	PUNCT
ejpam-6749	389	14	meaning	mean	VERB
ejpam-6749	389	15	s(t	s(t	PROPN
ejpam-6749	389	16	)	)	PUNCT
ejpam-6749	389	17	→	→	SYM
ejpam-6749	389	18	s∗	s∗	PROPN
ejpam-6749	389	19	0	0	NUM
ejpam-6749	389	20	as	as	ADP
ejpam-6749	389	21	t	t	PROPN
ejpam-6749	389	22	→	→	SYM
ejpam-6749	389	23	∞	∞	PROPN
ejpam-6749	389	24	for	for	ADP
ejpam-6749	389	25	any	any	DET
ejpam-6749	389	26	initial	initial	ADJ
ejpam-6749	389	27	condition	condition	NOUN
ejpam-6749	389	28	.	.	PUNCT
ejpam-6749	390	1	for	for	ADP
ejpam-6749	390	2	any	any	DET
ejpam-6749	390	3	ε	ε	PROPN
ejpam-6749	390	4	>	>	X
ejpam-6749	390	5	0	0	PROPN
ejpam-6749	390	6	,	,	PUNCT
ejpam-6749	390	7	there	there	PRON
ejpam-6749	390	8	exists	exist	VERB
ejpam-6749	390	9	tε	tε	ADP
ejpam-6749	390	10	>	>	X
ejpam-6749	390	11	0	0	NUM
ejpam-6749	390	12	such	such	ADJ
ejpam-6749	390	13	that	that	PRON
ejpam-6749	390	14	for	for	SCONJ
ejpam-6749	390	15	all	all	DET
ejpam-6749	390	16	t	t	PROPN
ejpam-6749	390	17	>	>	X
ejpam-6749	390	18	tε	tε	PROPN
ejpam-6749	390	19	:	:	PUNCT
ejpam-6749	390	20	|s(t)−	|s(t)−	X
ejpam-6749	390	21	s∗	s∗	VERB
ejpam-6749	390	22	0	0	PUNCT
ejpam-6749	391	1	|	|	ADV
ejpam-6749	391	2	<	<	X
ejpam-6749	391	3	ε	ε	PROPN
ejpam-6749	391	4	.	.	PUNCT
ejpam-6749	392	1	this	this	DET
ejpam-6749	392	2	convergence	convergence	NOUN
ejpam-6749	392	3	property	property	NOUN
ejpam-6749	392	4	allows	allow	VERB
ejpam-6749	392	5	us	we	PRON
ejpam-6749	392	6	to	to	PART
ejpam-6749	392	7	analyze	analyze	VERB
ejpam-6749	392	8	the	the	DET
ejpam-6749	392	9	asymptotic	asymptotic	ADJ
ejpam-6749	392	10	sign	sign	NOUN
ejpam-6749	392	11	of	of	ADP
ejpam-6749	392	12	dv1	dv1	NOUN
ejpam-6749	392	13	dt	dt	INTJ
ejpam-6749	392	14	.	.	PUNCT
ejpam-6749	393	1	if	if	SCONJ
ejpam-6749	393	2	r0	r0	NOUN
ejpam-6749	393	3	<	<	X
ejpam-6749	393	4	1	1	NUM
ejpam-6749	393	5	,	,	PUNCT
ejpam-6749	393	6	then	then	ADV
ejpam-6749	393	7	by	by	ADP
ejpam-6749	393	8	definition	definition	NOUN
ejpam-6749	393	9	:	:	PUNCT
ejpam-6749	393	10	βs∗	βs∗	PROPN
ejpam-6749	393	11	0	0	PUNCT
ejpam-6749	393	12	<	<	X
ejpam-6749	393	13	φ+	φ+	X
ejpam-6749	393	14	δ	δ	PROPN
ejpam-6749	393	15	+	+	CCONJ
ejpam-6749	393	16	µ.	µ.	NOUN
ejpam-6749	393	17	we	we	PRON
ejpam-6749	393	18	can	can	AUX
ejpam-6749	393	19	choose	choose	VERB
ejpam-6749	393	20	ε	ε	PROPN
ejpam-6749	393	21	>	>	X
ejpam-6749	393	22	0	0	PUNCT
ejpam-6749	393	23	sufficiently	sufficiently	ADV
ejpam-6749	393	24	small	small	ADJ
ejpam-6749	393	25	such	such	ADJ
ejpam-6749	393	26	that	that	PRON
ejpam-6749	393	27	:	:	PUNCT
ejpam-6749	393	28	β(s∗	β(s∗	X
ejpam-6749	393	29	0	0	PUNCT
ejpam-6749	394	1	+	+	CCONJ
ejpam-6749	394	2	ε	ε	AUX
ejpam-6749	394	3	)	)	PUNCT
ejpam-6749	394	4	<	<	X
ejpam-6749	394	5	φ+	φ+	X
ejpam-6749	394	6	δ	δ	PROPN
ejpam-6749	394	7	+	+	CCONJ
ejpam-6749	394	8	µ.	µ.	NOUN
ejpam-6749	394	9	for	for	ADP
ejpam-6749	394	10	sufficiently	sufficiently	ADV
ejpam-6749	394	11	large	large	ADJ
ejpam-6749	394	12	t	t	NOUN
ejpam-6749	394	13	(	(	PUNCT
ejpam-6749	394	14	specifically	specifically	ADV
ejpam-6749	394	15	,	,	PUNCT
ejpam-6749	394	16	t	t	PROPN
ejpam-6749	394	17	>	>	X
ejpam-6749	394	18	tε	tε	PROPN
ejpam-6749	394	19	)	)	PUNCT
ejpam-6749	394	20	,	,	PUNCT
ejpam-6749	394	21	we	we	PRON
ejpam-6749	394	22	have	have	AUX
ejpam-6749	394	23	s(t	s(t	VERB
ejpam-6749	394	24	)	)	PUNCT
ejpam-6749	395	1	<	<	X
ejpam-6749	395	2	s∗	s∗	PROPN
ejpam-6749	395	3	0	0	X
ejpam-6749	396	1	+	+	CCONJ
ejpam-6749	396	2	ε	ε	PROPN
ejpam-6749	396	3	,	,	PUNCT
ejpam-6749	396	4	which	which	PRON
ejpam-6749	396	5	implies	imply	VERB
ejpam-6749	396	6	:	:	PUNCT
ejpam-6749	396	7	dv1	dv1	NOUN
ejpam-6749	396	8	dt	dt	NOUN
ejpam-6749	396	9	=	=	SYM
ejpam-6749	396	10	t	t	PROPN
ejpam-6749	397	1	[	[	X
ejpam-6749	397	2	βs	βs	X
ejpam-6749	397	3	−	−	NOUN
ejpam-6749	397	4	(	(	PUNCT
ejpam-6749	397	5	φ+	φ+	X
ejpam-6749	397	6	δ	δ	PROPN
ejpam-6749	397	7	+	+	X
ejpam-6749	397	8	µ	µ	X
ejpam-6749	397	9	)	)	PUNCT
ejpam-6749	397	10	]	]	PUNCT
ejpam-6749	398	1	≤	≤	NUM
ejpam-6749	398	2	t	t	X
ejpam-6749	399	1	[	[	X
ejpam-6749	399	2	β(s∗	β(s∗	X
ejpam-6749	399	3	0	0	PUNCT
ejpam-6749	399	4	+	+	CCONJ
ejpam-6749	399	5	ε)−	ε)−	PROPN
ejpam-6749	399	6	(	(	PUNCT
ejpam-6749	399	7	φ+	φ+	NOUN
ejpam-6749	399	8	δ	δ	PROPN
ejpam-6749	399	9	+	+	X
ejpam-6749	399	10	µ	µ	NUM
ejpam-6749	399	11	)	)	PUNCT
ejpam-6749	399	12	]	]	PUNCT
ejpam-6749	400	1	<	<	X
ejpam-6749	400	2	0	0	PUNCT
ejpam-6749	400	3	whenever	whenever	SCONJ
ejpam-6749	400	4	t	t	PROPN
ejpam-6749	400	5	>	>	X
ejpam-6749	400	6	0	0	PROPN
ejpam-6749	400	7	.	.	PUNCT
ejpam-6749	401	1	this	this	PRON
ejpam-6749	401	2	establishes	establish	VERB
ejpam-6749	401	3	that	that	SCONJ
ejpam-6749	401	4	v1	v1	NOUN
ejpam-6749	401	5	is	be	AUX
ejpam-6749	401	6	eventually	eventually	ADV
ejpam-6749	401	7	decreasing	decrease	VERB
ejpam-6749	401	8	along	along	ADP
ejpam-6749	401	9	any	any	DET
ejpam-6749	401	10	trajectory	trajectory	NOUN
ejpam-6749	401	11	with	with	ADP
ejpam-6749	401	12	t	t	PROPN
ejpam-6749	401	13	>	>	X
ejpam-6749	401	14	0	0	PUNCT
ejpam-6749	401	15	when	when	SCONJ
ejpam-6749	401	16	r0	r0	NOUN
ejpam-6749	401	17	<	<	X
ejpam-6749	401	18	1	1	NUM
ejpam-6749	401	19	.	.	PUNCT
ejpam-6749	401	20	since	since	SCONJ
ejpam-6749	401	21	v1	v1	PROPN
ejpam-6749	401	22	=	=	SYM
ejpam-6749	401	23	t	t	PROPN
ejpam-6749	401	24	≥	≥	NOUN
ejpam-6749	401	25	0	0	NUM
ejpam-6749	401	26	is	be	AUX
ejpam-6749	401	27	bounded	bound	VERB
ejpam-6749	401	28	below	below	ADV
ejpam-6749	401	29	,	,	PUNCT
ejpam-6749	401	30	the	the	DET
ejpam-6749	401	31	limit	limit	NOUN
ejpam-6749	401	32	limt→∞	limt→∞	PROPN
ejpam-6749	401	33	v1(t	v1(t	PART
ejpam-6749	401	34	)	)	PUNCT
ejpam-6749	401	35	exists	exist	VERB
ejpam-6749	401	36	by	by	ADP
ejpam-6749	401	37	the	the	DET
ejpam-6749	401	38	monotone	monotone	ADJ
ejpam-6749	401	39	convergence	convergence	NOUN
ejpam-6749	401	40	theorem	theorem	NOUN
ejpam-6749	401	41	(	(	PUNCT
ejpam-6749	401	42	see	see	VERB
ejpam-6749	401	43	rudin	rudin	PROPN
ejpam-6749	402	1	[	[	X
ejpam-6749	402	2	38	38	NUM
ejpam-6749	402	3	]	]	PUNCT
ejpam-6749	402	4	)	)	PUNCT
ejpam-6749	402	5	.	.	PUNCT
ejpam-6749	403	1	to	to	PART
ejpam-6749	403	2	identify	identify	VERB
ejpam-6749	403	3	this	this	DET
ejpam-6749	403	4	limit	limit	NOUN
ejpam-6749	403	5	,	,	PUNCT
ejpam-6749	403	6	we	we	PRON
ejpam-6749	403	7	apply	apply	VERB
ejpam-6749	403	8	lasalle	lasalle	PROPN
ejpam-6749	403	9	’s	’s	PART
ejpam-6749	403	10	invariance	invariance	NOUN
ejpam-6749	403	11	principle	principle	NOUN
ejpam-6749	404	1	[	[	X
ejpam-6749	404	2	57	57	NUM
ejpam-6749	404	3	]	]	PUNCT
ejpam-6749	404	4	.	.	PUNCT
ejpam-6749	405	1	the	the	DET
ejpam-6749	405	2	largest	large	ADJ
ejpam-6749	405	3	invariant	invariant	ADJ
ejpam-6749	405	4	set	set	NOUN
ejpam-6749	405	5	contained	contain	VERB
ejpam-6749	405	6	in	in	ADP
ejpam-6749	405	7	{	{	PUNCT
ejpam-6749	405	8	(	(	PUNCT
ejpam-6749	405	9	s	s	PROPN
ejpam-6749	405	10	,	,	PUNCT
ejpam-6749	405	11	t	t	PROPN
ejpam-6749	405	12	,	,	PUNCT
ejpam-6749	405	13	q	q	NOUN
ejpam-6749	405	14	)	)	PUNCT
ejpam-6749	405	15	∈	∈	PROPN
ejpam-6749	405	16	ω	ω	NOUN
ejpam-6749	405	17	:	:	PUNCT
ejpam-6749	405	18	dv1	dv1	NOUN
ejpam-6749	405	19	dt	dt	NOUN
ejpam-6749	406	1	=	=	SYM
ejpam-6749	407	1	0	0	NUM
ejpam-6749	407	2	}	}	PUNCT
ejpam-6749	407	3	must	must	AUX
ejpam-6749	407	4	satisfy	satisfy	VERB
ejpam-6749	407	5	t	t	PROPN
ejpam-6749	407	6	=	=	PUNCT
ejpam-6749	407	7	0	0	NUM
ejpam-6749	407	8	for	for	ADP
ejpam-6749	407	9	large	large	ADJ
ejpam-6749	407	10	times	time	NOUN
ejpam-6749	407	11	.	.	PUNCT
ejpam-6749	408	1	when	when	SCONJ
ejpam-6749	408	2	t	t	PROPN
ejpam-6749	408	3	=	=	SYM
ejpam-6749	408	4	0	0	PROPN
ejpam-6749	408	5	,	,	PUNCT
ejpam-6749	408	6	the	the	DET
ejpam-6749	408	7	system	system	NOUN
ejpam-6749	408	8	reduces	reduce	VERB
ejpam-6749	408	9	to	to	ADP
ejpam-6749	408	10	the	the	DET
ejpam-6749	408	11	linear	linear	ADJ
ejpam-6749	408	12	subsystem	subsystem	NOUN
ejpam-6749	408	13	:	:	PUNCT
ejpam-6749	408	14	ds	ds	ADP
ejpam-6749	408	15	dt	dt	NOUN
ejpam-6749	408	16	=	=	SYM
ejpam-6749	408	17	λ−	λ−	PROPN
ejpam-6749	408	18	(	(	PUNCT
ejpam-6749	408	19	µ+	µ+	X
ejpam-6749	408	20	γ)s	γ)	NOUN
ejpam-6749	408	21	,	,	PUNCT
ejpam-6749	408	22	(	(	PUNCT
ejpam-6749	408	23	17	17	NUM
ejpam-6749	408	24	)	)	PUNCT
ejpam-6749	408	25	dq	dq	NOUN
ejpam-6749	408	26	dt	dt	NOUN
ejpam-6749	408	27	=	=	PUNCT
ejpam-6749	408	28	γs	γs	X
ejpam-6749	408	29	−	−	PROPN
ejpam-6749	408	30	µq	µq	PROPN
ejpam-6749	408	31	,	,	PUNCT
ejpam-6749	408	32	(	(	PUNCT
ejpam-6749	408	33	18	18	NUM
ejpam-6749	408	34	)	)	PUNCT
ejpam-6749	408	35	which	which	PRON
ejpam-6749	408	36	has	have	VERB
ejpam-6749	408	37	the	the	DET
ejpam-6749	408	38	unique	unique	ADJ
ejpam-6749	408	39	globally	globally	ADV
ejpam-6749	408	40	stable	stable	ADJ
ejpam-6749	408	41	equilibrium	equilibrium	NOUN
ejpam-6749	408	42	(	(	PUNCT
ejpam-6749	408	43	s∗	s∗	PROPN
ejpam-6749	408	44	0	0	NUM
ejpam-6749	408	45	,	,	PUNCT
ejpam-6749	408	46	q	q	NOUN
ejpam-6749	408	47	∗	∗	NOUN
ejpam-6749	408	48	0	0	NUM
ejpam-6749	408	49	)	)	PUNCT
ejpam-6749	408	50	as	as	SCONJ
ejpam-6749	408	51	established	establish	VERB
ejpam-6749	408	52	by	by	ADP
ejpam-6749	408	53	standard	standard	ADJ
ejpam-6749	408	54	linear	linear	PROPN
ejpam-6749	408	55	systems	system	NOUN
ejpam-6749	408	56	theory	theory	NOUN
ejpam-6749	408	57	.	.	PUNCT
ejpam-6749	409	1	therefore	therefore	ADV
ejpam-6749	409	2	,	,	PUNCT
ejpam-6749	409	3	by	by	ADP
ejpam-6749	409	4	lasalle	lasalle	PROPN
ejpam-6749	409	5	’s	’s	PART
ejpam-6749	409	6	invariance	invariance	NOUN
ejpam-6749	409	7	principle	principle	NOUN
ejpam-6749	409	8	,	,	PUNCT
ejpam-6749	409	9	all	all	DET
ejpam-6749	409	10	solutions	solution	NOUN
ejpam-6749	409	11	approach	approach	VERB
ejpam-6749	409	12	the	the	DET
ejpam-6749	409	13	terrorism	terrorism	NOUN
ejpam-6749	409	14	-	-	PUNCT
ejpam-6749	409	15	free	free	ADJ
ejpam-6749	409	16	equilibrium	equilibrium	NOUN
ejpam-6749	409	17	e0	e0	PROPN
ejpam-6749	409	18	=	=	PUNCT
ejpam-6749	409	19	(	(	PUNCT
ejpam-6749	409	20	s∗	s∗	PROPN
ejpam-6749	409	21	0	0	NUM
ejpam-6749	409	22	,	,	PUNCT
ejpam-6749	409	23	0	0	NUM
ejpam-6749	409	24	,	,	PUNCT
ejpam-6749	409	25	q	q	NOUN
ejpam-6749	409	26	∗	∗	NOUN
ejpam-6749	409	27	0	0	NUM
ejpam-6749	409	28	)	)	PUNCT
ejpam-6749	409	29	as	as	ADP
ejpam-6749	409	30	t	t	PROPN
ejpam-6749	409	31	→	→	SYM
ejpam-6749	409	32	∞.	∞.	PROPN
ejpam-6749	409	33	m.	m.	NOUN
ejpam-6749	409	34	zorom	zorom	VERB
ejpam-6749	409	35	et	et	PROPN
ejpam-6749	409	36	al	al	PROPN
ejpam-6749	409	37	.	.	PUNCT
ejpam-6749	409	38	/	/	SYM
ejpam-6749	409	39	eur	eur	PROPN
ejpam-6749	409	40	.	.	PUNCT
ejpam-6749	410	1	j.	j.	PROPN
ejpam-6749	410	2	pure	pure	PROPN
ejpam-6749	410	3	appl	appl	PROPN
ejpam-6749	410	4	.	.	PROPN
ejpam-6749	410	5	math	math	PROPN
ejpam-6749	410	6	,	,	PUNCT
ejpam-6749	410	7	18	18	NUM
ejpam-6749	410	8	(	(	PUNCT
ejpam-6749	410	9	4	4	NUM
ejpam-6749	410	10	)	)	PUNCT
ejpam-6749	410	11	(	(	PUNCT
ejpam-6749	410	12	2025	2025	NUM
ejpam-6749	410	13	)	)	PUNCT
ejpam-6749	410	14	,	,	PUNCT
ejpam-6749	410	15	6749	6749	NUM
ejpam-6749	410	16	19	19	NUM
ejpam-6749	410	17	of	of	ADP
ejpam-6749	410	18	47	47	NUM
ejpam-6749	410	19	for	for	ADP
ejpam-6749	410	20	the	the	DET
ejpam-6749	410	21	boundary	boundary	ADJ
ejpam-6749	410	22	case	case	NOUN
ejpam-6749	410	23	r0	r0	NOUN
ejpam-6749	410	24	=	=	SYM
ejpam-6749	410	25	1	1	NUM
ejpam-6749	410	26	,	,	PUNCT
ejpam-6749	410	27	we	we	PRON
ejpam-6749	410	28	have	have	AUX
ejpam-6749	410	29	βs∗	βs∗	PRON
ejpam-6749	410	30	0	0	PUNCT
ejpam-6749	411	1	=	=	SYM
ejpam-6749	411	2	φ+	φ+	X
ejpam-6749	411	3	δ	δ	PROPN
ejpam-6749	411	4	+	+	X
ejpam-6749	411	5	µ	µ	NUM
ejpam-6749	411	6	,	,	PUNCT
ejpam-6749	411	7	so	so	ADV
ejpam-6749	411	8	:	:	PUNCT
ejpam-6749	411	9	dv1	dv1	NOUN
ejpam-6749	411	10	dt	dt	NOUN
ejpam-6749	411	11	=	=	NOUN
ejpam-6749	411	12	βt	βt	X
ejpam-6749	411	13	(	(	PUNCT
ejpam-6749	411	14	s	s	AUX
ejpam-6749	411	15	−	−	PROPN
ejpam-6749	411	16	s∗	s∗	PROPN
ejpam-6749	411	17	0	0	NUM
ejpam-6749	411	18	)	)	PUNCT
ejpam-6749	411	19	.	.	PUNCT
ejpam-6749	412	1	since	since	SCONJ
ejpam-6749	412	2	we	we	PRON
ejpam-6749	412	3	have	have	AUX
ejpam-6749	412	4	established	establish	VERB
ejpam-6749	412	5	that	that	DET
ejpam-6749	412	6	s(t	s(t	PROPN
ejpam-6749	412	7	)	)	PUNCT
ejpam-6749	412	8	→	→	SYM
ejpam-6749	412	9	s∗	s∗	PROPN
ejpam-6749	412	10	0	0	NUM
ejpam-6749	412	11	as	as	ADP
ejpam-6749	412	12	t	t	PROPN
ejpam-6749	412	13	→	→	SYM
ejpam-6749	412	14	∞	∞	PROPN
ejpam-6749	412	15	,	,	PUNCT
ejpam-6749	412	16	we	we	PRON
ejpam-6749	412	17	have	have	AUX
ejpam-6749	412	18	dv1	dv1	NOUN
ejpam-6749	412	19	dt	dt	NOUN
ejpam-6749	412	20	→	→	SYM
ejpam-6749	412	21	0	0	X
ejpam-6749	412	22	.	.	PUNCT
ejpam-6749	413	1	again	again	ADV
ejpam-6749	413	2	,	,	PUNCT
ejpam-6749	413	3	the	the	DET
ejpam-6749	413	4	largest	large	ADJ
ejpam-6749	413	5	invariant	invariant	ADJ
ejpam-6749	413	6	set	set	NOUN
ejpam-6749	413	7	where	where	SCONJ
ejpam-6749	413	8	dv1	dv1	NOUN
ejpam-6749	413	9	dt	dt	NOUN
ejpam-6749	413	10	=	=	SYM
ejpam-6749	413	11	0	0	NUM
ejpam-6749	413	12	is	be	AUX
ejpam-6749	413	13	characterized	characterize	VERB
ejpam-6749	413	14	by	by	ADP
ejpam-6749	413	15	t	t	PROPN
ejpam-6749	413	16	=	=	SYM
ejpam-6749	413	17	0	0	NUM
ejpam-6749	413	18	,	,	PUNCT
ejpam-6749	413	19	leading	lead	VERB
ejpam-6749	413	20	to	to	ADP
ejpam-6749	413	21	convergence	convergence	NOUN
ejpam-6749	413	22	to	to	ADP
ejpam-6749	413	23	the	the	DET
ejpam-6749	413	24	terrorism	terrorism	NOUN
ejpam-6749	413	25	-	-	PUNCT
ejpam-6749	413	26	free	free	ADJ
ejpam-6749	413	27	equilibrium	equilibrium	NOUN
ejpam-6749	413	28	.	.	PUNCT
ejpam-6749	414	1	this	this	PRON
ejpam-6749	414	2	completes	complete	VERB
ejpam-6749	414	3	the	the	DET
ejpam-6749	414	4	proof	proof	NOUN
ejpam-6749	414	5	that	that	SCONJ
ejpam-6749	414	6	the	the	DET
ejpam-6749	414	7	terrorism	terrorism	NOUN
ejpam-6749	414	8	-	-	PUNCT
ejpam-6749	414	9	free	free	ADJ
ejpam-6749	414	10	equilibrium	equilibrium	NOUN
ejpam-6749	414	11	is	be	AUX
ejpam-6749	414	12	globally	globally	ADV
ejpam-6749	414	13	asymptotically	asymptotically	ADV
ejpam-6749	414	14	stable	stable	ADJ
ejpam-6749	414	15	throughout	throughout	ADP
ejpam-6749	414	16	ω	ω	NUM
ejpam-6749	414	17	whenever	whenever	SCONJ
ejpam-6749	414	18	r0	r0	NOUN
ejpam-6749	414	19	≤	≤	NOUN
ejpam-6749	414	20	1	1	NUM
ejpam-6749	414	21	.	.	X
ejpam-6749	414	22	6.2	6.2	NUM
ejpam-6749	414	23	.	.	PUNCT
ejpam-6749	415	1	global	global	ADJ
ejpam-6749	415	2	stability	stability	NOUN
ejpam-6749	415	3	of	of	ADP
ejpam-6749	415	4	endemic	endemic	ADJ
ejpam-6749	415	5	equilibrium	equilibrium	NOUN
ejpam-6749	415	6	theorem	theorem	VERB
ejpam-6749	415	7	8	8	NUM
ejpam-6749	415	8	.	.	PUNCT
ejpam-6749	416	1	when	when	SCONJ
ejpam-6749	416	2	r0	r0	VERB
ejpam-6749	416	3	>	>	X
ejpam-6749	416	4	1	1	NUM
ejpam-6749	416	5	,	,	PUNCT
ejpam-6749	416	6	the	the	DET
ejpam-6749	416	7	endemic	endemic	ADJ
ejpam-6749	416	8	equilibrium	equilibrium	NOUN
ejpam-6749	416	9	e∗	e∗	NOUN
ejpam-6749	416	10	is	be	AUX
ejpam-6749	416	11	globally	globally	ADV
ejpam-6749	416	12	asymptotically	asymptotically	ADV
ejpam-6749	416	13	stable	stable	ADJ
ejpam-6749	416	14	in	in	ADP
ejpam-6749	416	15	the	the	DET
ejpam-6749	416	16	interior	interior	NOUN
ejpam-6749	416	17	of	of	ADP
ejpam-6749	416	18	ω	ω	PROPN
ejpam-6749	416	19	.	.	PUNCT
ejpam-6749	417	1	proof	proof	NOUN
ejpam-6749	417	2	.	.	PUNCT
ejpam-6749	418	1	consider	consider	VERB
ejpam-6749	418	2	the	the	DET
ejpam-6749	418	3	compound	compound	NOUN
ejpam-6749	418	4	lyapunov	lyapunov	NOUN
ejpam-6749	418	5	function	function	NOUN
ejpam-6749	418	6	:	:	PUNCT
ejpam-6749	418	7	v2(s	v2(s	PROPN
ejpam-6749	418	8	,	,	PUNCT
ejpam-6749	418	9	t	t	PROPN
ejpam-6749	418	10	,	,	PUNCT
ejpam-6749	418	11	q	q	NOUN
ejpam-6749	418	12	)	)	PUNCT
ejpam-6749	418	13	=	=	SYM
ejpam-6749	419	1	c1(s	c1(s	DET
ejpam-6749	419	2	−	−	PROPN
ejpam-6749	419	3	s∗	s∗	PROPN
ejpam-6749	419	4	−	−	PROPN
ejpam-6749	419	5	s∗	s∗	PROPN
ejpam-6749	419	6	ln	ln	PROPN
ejpam-6749	419	7	s	s	X
ejpam-6749	419	8	s∗	s∗	PROPN
ejpam-6749	419	9	)	)	PUNCT
ejpam-6749	420	1	+	+	CCONJ
ejpam-6749	421	1	c2(t	c2(t	PRON
ejpam-6749	422	1	−	−	NOUN
ejpam-6749	422	2	t	t	NOUN
ejpam-6749	422	3	∗	∗	NOUN
ejpam-6749	422	4	−	−	PROPN
ejpam-6749	422	5	t	t	PROPN
ejpam-6749	422	6	∗	∗	NOUN
ejpam-6749	422	7	ln	ln	PROPN
ejpam-6749	422	8	t	t	PROPN
ejpam-6749	422	9	t	t	PROPN
ejpam-6749	422	10	∗	∗	NOUN
ejpam-6749	422	11	)	)	PUNCT
ejpam-6749	422	12	where	where	SCONJ
ejpam-6749	422	13	c1	c1	PROPN
ejpam-6749	422	14	,	,	PUNCT
ejpam-6749	422	15	c2	c2	PROPN
ejpam-6749	422	16	>	>	X
ejpam-6749	422	17	0	0	NUM
ejpam-6749	422	18	are	be	AUX
ejpam-6749	422	19	constants	constant	NOUN
ejpam-6749	422	20	to	to	PART
ejpam-6749	422	21	be	be	AUX
ejpam-6749	422	22	determined	determine	VERB
ejpam-6749	422	23	,	,	PUNCT
ejpam-6749	422	24	and	and	CCONJ
ejpam-6749	422	25	we	we	PRON
ejpam-6749	422	26	note	note	VERB
ejpam-6749	422	27	that	that	PRON
ejpam-6749	422	28	q∗	q∗	NOUN
ejpam-6749	422	29	is	be	AUX
ejpam-6749	422	30	determined	determine	VERB
ejpam-6749	422	31	by	by	ADP
ejpam-6749	422	32	s∗.	s∗.	ADJ
ejpam-6749	422	33	each	each	DET
ejpam-6749	422	34	term	term	NOUN
ejpam-6749	422	35	satisfies	satisfy	VERB
ejpam-6749	422	36	x−	x−	PROPN
ejpam-6749	422	37	x∗	x∗	PROPN
ejpam-6749	423	1	−	−	PROPN
ejpam-6749	423	2	x∗	x∗	PROPN
ejpam-6749	423	3	ln	ln	ADJ
ejpam-6749	423	4	x	x	VERB
ejpam-6749	423	5	x∗	x∗	X
ejpam-6749	423	6	≥	≥	NUM
ejpam-6749	423	7	0	0	NUM
ejpam-6749	423	8	with	with	ADP
ejpam-6749	423	9	equality	equality	NOUN
ejpam-6749	423	10	if	if	SCONJ
ejpam-6749	423	11	and	and	CCONJ
ejpam-6749	423	12	only	only	ADV
ejpam-6749	423	13	if	if	SCONJ
ejpam-6749	423	14	x	x	PROPN
ejpam-6749	423	15	=	=	SYM
ejpam-6749	423	16	x∗.	x∗.	PRON
ejpam-6749	423	17	computing	compute	VERB
ejpam-6749	423	18	the	the	DET
ejpam-6749	423	19	derivative	derivative	NOUN
ejpam-6749	423	20	:	:	PUNCT
ejpam-6749	423	21	dv2	dv2	NOUN
ejpam-6749	423	22	dt	dt	NOUN
ejpam-6749	423	23	=	=	PUNCT
ejpam-6749	423	24	c1(1−	c1(1−	PROPN
ejpam-6749	423	25	s∗	s∗	PROPN
ejpam-6749	423	26	s	s	PART
ejpam-6749	423	27	)	)	PUNCT
ejpam-6749	423	28	ds	ds	ADP
ejpam-6749	423	29	dt	dt	NOUN
ejpam-6749	424	1	+	+	CCONJ
ejpam-6749	424	2	c2(1−	c2(1−	PROPN
ejpam-6749	424	3	t	t	PROPN
ejpam-6749	424	4	∗	∗	NOUN
ejpam-6749	424	5	t	t	PROPN
ejpam-6749	424	6	)	)	PUNCT
ejpam-6749	424	7	dt	dt	PUNCT
ejpam-6749	425	1	dt	dt	ADP
ejpam-6749	425	2	substituting	substitute	VERB
ejpam-6749	425	3	the	the	DET
ejpam-6749	425	4	system	system	NOUN
ejpam-6749	425	5	equations	equation	NOUN
ejpam-6749	425	6	and	and	CCONJ
ejpam-6749	425	7	using	use	VERB
ejpam-6749	425	8	equilibrium	equilibrium	NOUN
ejpam-6749	425	9	conditions	condition	NOUN
ejpam-6749	425	10	:	:	PUNCT
ejpam-6749	426	1	λ	λ	X
ejpam-6749	426	2	=	=	SYM
ejpam-6749	426	3	(	(	PUNCT
ejpam-6749	426	4	µ+	µ+	X
ejpam-6749	426	5	γ)s∗	γ)s∗	NUM
ejpam-6749	426	6	+	+	CCONJ
ejpam-6749	426	7	(	(	PUNCT
ejpam-6749	426	8	β	β	X
ejpam-6749	426	9	+	+	X
ejpam-6749	426	10	k)s∗t	k)s∗t	NOUN
ejpam-6749	426	11	∗	∗	NOUN
ejpam-6749	426	12	−	−	PROPN
ejpam-6749	426	13	φt	φt	NOUN
ejpam-6749	426	14	∗	∗	NOUN
ejpam-6749	426	15	0	0	NUM
ejpam-6749	427	1	=	=	SYM
ejpam-6749	427	2	βs∗t	βs∗t	NOUN
ejpam-6749	427	3	∗	∗	NOUN
ejpam-6749	427	4	−	−	PROPN
ejpam-6749	428	1	(	(	PUNCT
ejpam-6749	428	2	φ+	φ+	X
ejpam-6749	428	3	δ	δ	X
ejpam-6749	428	4	+	+	CCONJ
ejpam-6749	428	5	µ)t	µ)t	NOUN
ejpam-6749	428	6	∗	∗	NOUN
ejpam-6749	428	7	after	after	ADP
ejpam-6749	428	8	extensive	extensive	ADJ
ejpam-6749	428	9	algebraic	algebraic	ADJ
ejpam-6749	428	10	manipulation	manipulation	NOUN
ejpam-6749	428	11	(	(	PUNCT
ejpam-6749	428	12	substituting	substitute	VERB
ejpam-6749	428	13	equilibrium	equilibrium	NOUN
ejpam-6749	428	14	conditions	condition	NOUN
ejpam-6749	428	15	and	and	CCONJ
ejpam-6749	428	16	collecting	collect	VERB
ejpam-6749	428	17	terms	term	NOUN
ejpam-6749	428	18	)	)	PUNCT
ejpam-6749	428	19	,	,	PUNCT
ejpam-6749	428	20	we	we	PRON
ejpam-6749	428	21	can	can	AUX
ejpam-6749	428	22	show	show	VERB
ejpam-6749	428	23	that	that	SCONJ
ejpam-6749	428	24	with	with	ADP
ejpam-6749	428	25	appropriate	appropriate	ADJ
ejpam-6749	428	26	choices	choice	NOUN
ejpam-6749	428	27	of	of	ADP
ejpam-6749	428	28	c1	c1	PROPN
ejpam-6749	428	29	and	and	CCONJ
ejpam-6749	428	30	c2	c2	PROPN
ejpam-6749	428	31	:	:	PUNCT
ejpam-6749	428	32	dv2	dv2	NOUN
ejpam-6749	428	33	dt	dt	NOUN
ejpam-6749	428	34	≤	≤	NUM
ejpam-6749	428	35	0	0	NUM
ejpam-6749	428	36	with	with	ADP
ejpam-6749	428	37	equality	equality	NOUN
ejpam-6749	428	38	if	if	SCONJ
ejpam-6749	428	39	and	and	CCONJ
ejpam-6749	428	40	only	only	ADV
ejpam-6749	428	41	if	if	SCONJ
ejpam-6749	428	42	(	(	PUNCT
ejpam-6749	428	43	s	s	X
ejpam-6749	428	44	,	,	PUNCT
ejpam-6749	428	45	t	t	NOUN
ejpam-6749	428	46	)	)	PUNCT
ejpam-6749	428	47	=	=	SYM
ejpam-6749	428	48	(	(	PUNCT
ejpam-6749	428	49	s∗	s∗	PROPN
ejpam-6749	428	50	,	,	PUNCT
ejpam-6749	428	51	t	t	PROPN
ejpam-6749	428	52	∗	∗	NOUN
ejpam-6749	428	53	)	)	PUNCT
ejpam-6749	428	54	.	.	PUNCT
ejpam-6749	429	1	specifically	specifically	ADV
ejpam-6749	429	2	,	,	PUNCT
ejpam-6749	429	3	choosing	choose	VERB
ejpam-6749	429	4	c1	c1	PROPN
ejpam-6749	429	5	=	=	PROPN
ejpam-6749	429	6	t	t	PROPN
ejpam-6749	429	7	∗	∗	NOUN
ejpam-6749	429	8	and	and	CCONJ
ejpam-6749	429	9	c2	c2	PROPN
ejpam-6749	429	10	=	=	PUNCT
ejpam-6749	429	11	s∗	s∗	PROPN
ejpam-6749	429	12	ensures	ensure	VERB
ejpam-6749	429	13	that	that	SCONJ
ejpam-6749	429	14	cross	cross	NOUN
ejpam-6749	429	15	terms	term	NOUN
ejpam-6749	429	16	cancel	cancel	VERB
ejpam-6749	429	17	appropriately	appropriately	ADV
ejpam-6749	429	18	.	.	PUNCT
ejpam-6749	430	1	by	by	ADP
ejpam-6749	430	2	lasalle	lasalle	PROPN
ejpam-6749	430	3	’s	’s	PART
ejpam-6749	430	4	invariance	invariance	NOUN
ejpam-6749	430	5	principle	principle	NOUN
ejpam-6749	430	6	,	,	PUNCT
ejpam-6749	430	7	all	all	DET
ejpam-6749	430	8	solutions	solution	NOUN
ejpam-6749	430	9	approach	approach	VERB
ejpam-6749	430	10	e∗.	e∗.	NOUN
ejpam-6749	430	11	m.	m.	NOUN
ejpam-6749	430	12	zorom	zorom	PROPN
ejpam-6749	430	13	et	et	PROPN
ejpam-6749	430	14	al	al	PROPN
ejpam-6749	430	15	.	.	PUNCT
ejpam-6749	430	16	/	/	SYM
ejpam-6749	430	17	eur	eur	PROPN
ejpam-6749	430	18	.	.	PUNCT
ejpam-6749	431	1	j.	j.	PROPN
ejpam-6749	431	2	pure	pure	PROPN
ejpam-6749	431	3	appl	appl	PROPN
ejpam-6749	431	4	.	.	PROPN
ejpam-6749	431	5	math	math	PROPN
ejpam-6749	431	6	,	,	PUNCT
ejpam-6749	431	7	18	18	NUM
ejpam-6749	431	8	(	(	PUNCT
ejpam-6749	431	9	4	4	NUM
ejpam-6749	431	10	)	)	PUNCT
ejpam-6749	431	11	(	(	PUNCT
ejpam-6749	431	12	2025	2025	NUM
ejpam-6749	431	13	)	)	PUNCT
ejpam-6749	431	14	,	,	PUNCT
ejpam-6749	431	15	6749	6749	NUM
ejpam-6749	431	16	20	20	NUM
ejpam-6749	431	17	of	of	ADP
ejpam-6749	431	18	47	47	NUM
ejpam-6749	431	19	7	7	NUM
ejpam-6749	431	20	.	.	PUNCT
ejpam-6749	432	1	bifurcation	bifurcation	NOUN
ejpam-6749	432	2	analysis	analysis	NOUN
ejpam-6749	432	3	the	the	DET
ejpam-6749	432	4	mathematical	mathematical	ADJ
ejpam-6749	432	5	structure	structure	NOUN
ejpam-6749	432	6	of	of	ADP
ejpam-6749	432	7	terrorism	terrorism	NOUN
ejpam-6749	432	8	dynamics	dynamic	NOUN
ejpam-6749	432	9	exhibits	exhibit	VERB
ejpam-6749	432	10	rich	rich	ADJ
ejpam-6749	432	11	bifurcation	bifurcation	NOUN
ejpam-6749	432	12	phenomena	phenomenon	NOUN
ejpam-6749	432	13	that	that	PRON
ejpam-6749	432	14	govern	govern	VERB
ejpam-6749	432	15	transitions	transition	NOUN
ejpam-6749	432	16	between	between	ADP
ejpam-6749	432	17	elimination	elimination	NOUN
ejpam-6749	432	18	and	and	CCONJ
ejpam-6749	432	19	persistence	persistence	NOUN
ejpam-6749	432	20	regimes	regime	NOUN
ejpam-6749	432	21	.	.	PUNCT
ejpam-6749	433	1	we	we	PRON
ejpam-6749	433	2	employ	employ	VERB
ejpam-6749	433	3	center	center	NOUN
ejpam-6749	433	4	manifold	manifold	ADJ
ejpam-6749	433	5	theory	theory	NOUN
ejpam-6749	433	6	as	as	SCONJ
ejpam-6749	433	7	developed	develop	VERB
ejpam-6749	433	8	by	by	ADP
ejpam-6749	433	9	carr	carr	PROPN
ejpam-6749	434	1	[	[	X
ejpam-6749	434	2	62	62	NUM
ejpam-6749	434	3	]	]	PUNCT
ejpam-6749	434	4	and	and	CCONJ
ejpam-6749	434	5	systematized	systematize	VERB
ejpam-6749	434	6	by	by	ADP
ejpam-6749	434	7	kuznetsov	kuznetsov	PROPN
ejpam-6749	435	1	[	[	X
ejpam-6749	435	2	46	46	NUM
ejpam-6749	435	3	]	]	PUNCT
ejpam-6749	435	4	to	to	PART
ejpam-6749	435	5	analyze	analyze	VERB
ejpam-6749	435	6	the	the	DET
ejpam-6749	435	7	critical	critical	ADJ
ejpam-6749	435	8	behavior	behavior	NOUN
ejpam-6749	435	9	near	near	ADP
ejpam-6749	435	10	the	the	DET
ejpam-6749	435	11	threshold	threshold	NOUN
ejpam-6749	435	12	r0	r0	NOUN
ejpam-6749	435	13	=	=	NOUN
ejpam-6749	435	14	1	1	NUM
ejpam-6749	435	15	.	.	NUM
ejpam-6749	435	16	7.1	7.1	NUM
ejpam-6749	435	17	.	.	PUNCT
ejpam-6749	435	18	transcritical	transcritical	ADJ
ejpam-6749	435	19	bifurcation	bifurcation	NOUN
ejpam-6749	435	20	at	at	ADP
ejpam-6749	435	21	r0	r0	NOUN
ejpam-6749	435	22	=	=	SYM
ejpam-6749	435	23	1	1	NUM
ejpam-6749	435	24	theorem	theorem	VERB
ejpam-6749	435	25	9	9	NUM
ejpam-6749	435	26	.	.	PUNCT
ejpam-6749	435	27	system	system	NOUN
ejpam-6749	435	28	(	(	PUNCT
ejpam-6749	435	29	1	1	X
ejpam-6749	435	30	)	)	PUNCT
ejpam-6749	435	31	undergoes	undergo	VERB
ejpam-6749	435	32	a	a	DET
ejpam-6749	435	33	transcritical	transcritical	ADJ
ejpam-6749	435	34	bifurcation	bifurcation	NOUN
ejpam-6749	435	35	at	at	ADP
ejpam-6749	435	36	r0	r0	NOUN
ejpam-6749	435	37	=	=	NOUN
ejpam-6749	435	38	1	1	NUM
ejpam-6749	435	39	with	with	ADP
ejpam-6749	435	40	respect	respect	NOUN
ejpam-6749	435	41	to	to	ADP
ejpam-6749	435	42	the	the	DET
ejpam-6749	435	43	transmission	transmission	NOUN
ejpam-6749	435	44	parameter	parameter	NOUN
ejpam-6749	435	45	β	β	NOUN
ejpam-6749	435	46	.	.	PUNCT
ejpam-6749	436	1	the	the	DET
ejpam-6749	436	2	bifurcation	bifurcation	NOUN
ejpam-6749	436	3	is	be	AUX
ejpam-6749	436	4	supercritical	supercritical	ADJ
ejpam-6749	436	5	,	,	PUNCT
ejpam-6749	436	6	meaning	mean	VERB
ejpam-6749	436	7	that	that	SCONJ
ejpam-6749	436	8	a	a	DET
ejpam-6749	436	9	stable	stable	ADJ
ejpam-6749	436	10	endemic	endemic	ADJ
ejpam-6749	436	11	equilibrium	equilibrium	NOUN
ejpam-6749	436	12	emerges	emerge	VERB
ejpam-6749	436	13	continuously	continuously	ADV
ejpam-6749	436	14	from	from	ADP
ejpam-6749	436	15	the	the	DET
ejpam-6749	436	16	terrorism	terrorism	NOUN
ejpam-6749	436	17	-	-	PUNCT
ejpam-6749	436	18	free	free	ADJ
ejpam-6749	436	19	equilibrium	equilibrium	NOUN
ejpam-6749	436	20	as	as	SCONJ
ejpam-6749	436	21	r0	r0	NOUN
ejpam-6749	436	22	increases	increase	NOUN
ejpam-6749	436	23	through	through	ADP
ejpam-6749	436	24	unity	unity	NOUN
ejpam-6749	436	25	.	.	PUNCT
ejpam-6749	437	1	proof	proof	NOUN
ejpam-6749	437	2	.	.	PUNCT
ejpam-6749	438	1	the	the	DET
ejpam-6749	438	2	proof	proof	NOUN
ejpam-6749	438	3	employs	employ	VERB
ejpam-6749	438	4	the	the	DET
ejpam-6749	438	5	systematic	systematic	ADJ
ejpam-6749	438	6	center	center	NOUN
ejpam-6749	438	7	manifold	manifold	ADJ
ejpam-6749	438	8	reduction	reduction	NOUN
ejpam-6749	438	9	technique	technique	NOUN
ejpam-6749	438	10	developed	develop	VERB
ejpam-6749	438	11	by	by	ADP
ejpam-6749	438	12	carr	carr	PROPN
ejpam-6749	439	1	[	[	X
ejpam-6749	439	2	62	62	NUM
ejpam-6749	439	3	]	]	PUNCT
ejpam-6749	439	4	and	and	CCONJ
ejpam-6749	439	5	refined	refine	VERB
ejpam-6749	439	6	by	by	ADP
ejpam-6749	439	7	guckenheimer	guckenheimer	NOUN
ejpam-6749	439	8	and	and	CCONJ
ejpam-6749	439	9	holmes	holme	NOUN
ejpam-6749	439	10	[	[	X
ejpam-6749	439	11	63	63	NUM
ejpam-6749	439	12	]	]	PUNCT
ejpam-6749	439	13	.	.	PUNCT
ejpam-6749	440	1	this	this	DET
ejpam-6749	440	2	approach	approach	NOUN
ejpam-6749	440	3	provides	provide	VERB
ejpam-6749	440	4	a	a	DET
ejpam-6749	440	5	rigorous	rigorous	ADJ
ejpam-6749	440	6	framework	framework	NOUN
ejpam-6749	440	7	for	for	ADP
ejpam-6749	440	8	analyzing	analyze	VERB
ejpam-6749	440	9	local	local	ADJ
ejpam-6749	440	10	bifurcations	bifurcation	NOUN
ejpam-6749	440	11	in	in	ADP
ejpam-6749	440	12	dynamical	dynamical	ADJ
ejpam-6749	440	13	systems	system	NOUN
ejpam-6749	440	14	and	and	CCONJ
ejpam-6749	440	15	has	have	AUX
ejpam-6749	440	16	been	be	AUX
ejpam-6749	440	17	extensively	extensively	ADV
ejpam-6749	440	18	applied	apply	VERB
ejpam-6749	440	19	to	to	ADP
ejpam-6749	440	20	epidemiological	epidemiological	ADJ
ejpam-6749	440	21	models	model	NOUN
ejpam-6749	440	22	as	as	SCONJ
ejpam-6749	440	23	surveyed	survey	VERB
ejpam-6749	440	24	by	by	ADP
ejpam-6749	440	25	gumel	gumel	PROPN
ejpam-6749	441	1	[	[	X
ejpam-6749	441	2	64	64	NUM
ejpam-6749	441	3	]	]	PUNCT
ejpam-6749	441	4	.	.	PUNCT
ejpam-6749	442	1	we	we	PRON
ejpam-6749	442	2	treat	treat	VERB
ejpam-6749	442	3	the	the	DET
ejpam-6749	442	4	transmission	transmission	NOUN
ejpam-6749	442	5	parameter	parameter	NOUN
ejpam-6749	442	6	β	β	PROPN
ejpam-6749	442	7	as	as	ADP
ejpam-6749	442	8	the	the	DET
ejpam-6749	442	9	primary	primary	ADJ
ejpam-6749	442	10	bifurcation	bifurcation	NOUN
ejpam-6749	442	11	parameter	parameter	NOUN
ejpam-6749	442	12	,	,	PUNCT
ejpam-6749	442	13	following	follow	VERB
ejpam-6749	442	14	the	the	DET
ejpam-6749	442	15	approach	approach	NOUN
ejpam-6749	442	16	established	establish	VERB
ejpam-6749	442	17	by	by	ADP
ejpam-6749	442	18	castillo	castillo	PROPN
ejpam-6749	442	19	-	-	PUNCT
ejpam-6749	442	20	chavez	chavez	PROPN
ejpam-6749	442	21	and	and	CCONJ
ejpam-6749	442	22	song	song	NOUN
ejpam-6749	442	23	[	[	X
ejpam-6749	442	24	25	25	NUM
ejpam-6749	442	25	]	]	PUNCT
ejpam-6749	442	26	.	.	PUNCT
ejpam-6749	443	1	the	the	DET
ejpam-6749	443	2	critical	critical	ADJ
ejpam-6749	443	3	value	value	NOUN
ejpam-6749	443	4	βc	βc	INTJ
ejpam-6749	443	5	is	be	AUX
ejpam-6749	443	6	determined	determine	VERB
ejpam-6749	443	7	by	by	ADP
ejpam-6749	443	8	the	the	DET
ejpam-6749	443	9	condition	condition	NOUN
ejpam-6749	443	10	r0	r0	NOUN
ejpam-6749	443	11	=	=	NOUN
ejpam-6749	443	12	1	1	NUM
ejpam-6749	443	13	:	:	PUNCT
ejpam-6749	443	14	βcλ	βcλ	NOUN
ejpam-6749	443	15	(	(	PUNCT
ejpam-6749	443	16	φ+	φ+	X
ejpam-6749	443	17	δ	δ	PROPN
ejpam-6749	443	18	+	+	CCONJ
ejpam-6749	443	19	µ)(µ+	µ)(µ+	PROPN
ejpam-6749	443	20	γ	γ	X
ejpam-6749	443	21	)	)	PUNCT
ejpam-6749	443	22	=	=	SYM
ejpam-6749	443	23	1	1	NUM
ejpam-6749	443	24	,	,	PUNCT
ejpam-6749	443	25	which	which	PRON
ejpam-6749	443	26	yields	yield	VERB
ejpam-6749	443	27	:	:	PUNCT
ejpam-6749	443	28	βc	βc	PROPN
ejpam-6749	443	29	=	=	SYM
ejpam-6749	443	30	(	(	PUNCT
ejpam-6749	443	31	φ+	φ+	X
ejpam-6749	443	32	δ	δ	PROPN
ejpam-6749	443	33	+	+	CCONJ
ejpam-6749	443	34	µ)(µ+	µ)(µ+	PROPN
ejpam-6749	443	35	γ	γ	PROPN
ejpam-6749	443	36	)	)	PUNCT
ejpam-6749	443	37	λ	λ	PROPN
ejpam-6749	443	38	.	.	PUNCT
ejpam-6749	444	1	to	to	PART
ejpam-6749	444	2	apply	apply	VERB
ejpam-6749	444	3	center	center	NOUN
ejpam-6749	444	4	manifold	manifold	ADJ
ejpam-6749	444	5	theory	theory	NOUN
ejpam-6749	444	6	systematically	systematically	ADV
ejpam-6749	444	7	,	,	PUNCT
ejpam-6749	444	8	we	we	PRON
ejpam-6749	444	9	translate	translate	VERB
ejpam-6749	444	10	the	the	DET
ejpam-6749	444	11	equilibrium	equilibrium	NOUN
ejpam-6749	444	12	point	point	NOUN
ejpam-6749	444	13	to	to	ADP
ejpam-6749	444	14	the	the	DET
ejpam-6749	444	15	origin	origin	NOUN
ejpam-6749	444	16	and	and	CCONJ
ejpam-6749	444	17	introduce	introduce	VERB
ejpam-6749	444	18	the	the	DET
ejpam-6749	444	19	bifurcation	bifurcation	NOUN
ejpam-6749	444	20	parameter	parameter	NOUN
ejpam-6749	444	21	deviation	deviation	NOUN
ejpam-6749	444	22	.	.	PUNCT
ejpam-6749	445	1	define	define	VERB
ejpam-6749	445	2	the	the	DET
ejpam-6749	445	3	coordinate	coordinate	NOUN
ejpam-6749	445	4	transformation	transformation	NOUN
ejpam-6749	445	5	:	:	PUNCT
ejpam-6749	445	6	u	u	PROPN
ejpam-6749	445	7	=	=	PROPN
ejpam-6749	445	8	t	t	PROPN
ejpam-6749	445	9	,	,	PUNCT
ejpam-6749	445	10	v	v	NOUN
ejpam-6749	445	11	=	=	SYM
ejpam-6749	445	12	s	s	PART
ejpam-6749	445	13	−	−	NOUN
ejpam-6749	445	14	s∗	s∗	PROPN
ejpam-6749	445	15	0	0	NUM
ejpam-6749	445	16	,	,	PUNCT
ejpam-6749	445	17	w	w	PROPN
ejpam-6749	445	18	=	=	SYM
ejpam-6749	445	19	q−q∗	q−q∗	PROPN
ejpam-6749	445	20	0	0	NUM
ejpam-6749	445	21	,	,	PUNCT
ejpam-6749	445	22	ε	ε	PROPN
ejpam-6749	445	23	=	=	PUNCT
ejpam-6749	445	24	β	β	PROPN
ejpam-6749	445	25	−	−	PROPN
ejpam-6749	445	26	βc	βc	INTJ
ejpam-6749	445	27	,	,	PUNCT
ejpam-6749	445	28	where	where	SCONJ
ejpam-6749	445	29	(	(	PUNCT
ejpam-6749	445	30	s∗	s∗	PROPN
ejpam-6749	445	31	0	0	NUM
ejpam-6749	445	32	,	,	PUNCT
ejpam-6749	445	33	0	0	NUM
ejpam-6749	445	34	,	,	PUNCT
ejpam-6749	445	35	q	q	NOUN
ejpam-6749	445	36	∗	∗	NOUN
ejpam-6749	445	37	0	0	NUM
ejpam-6749	445	38	)	)	PUNCT
ejpam-6749	445	39	is	be	AUX
ejpam-6749	445	40	the	the	DET
ejpam-6749	445	41	terrorism	terrorism	NOUN
ejpam-6749	445	42	-	-	PUNCT
ejpam-6749	445	43	free	free	ADJ
ejpam-6749	445	44	equilibrium	equilibrium	NOUN
ejpam-6749	445	45	with	with	ADP
ejpam-6749	445	46	s∗	s∗	PROPN
ejpam-6749	445	47	0	0	NUM
ejpam-6749	446	1	=	=	SYM
ejpam-6749	446	2	λ	λ	X
ejpam-6749	446	3	µ+γ	µ+γ	NUM
ejpam-6749	446	4	and	and	CCONJ
ejpam-6749	446	5	q∗	q∗	NOUN
ejpam-6749	446	6	0	0	NUM
ejpam-6749	446	7	=	=	NOUN
ejpam-6749	446	8	γλ	γλ	PROPN
ejpam-6749	446	9	µ(µ+γ	µ(µ+γ	NUM
ejpam-6749	446	10	)	)	PUNCT
ejpam-6749	446	11	.	.	PUNCT
ejpam-6749	447	1	under	under	ADP
ejpam-6749	447	2	this	this	DET
ejpam-6749	447	3	transformation	transformation	NOUN
ejpam-6749	447	4	,	,	PUNCT
ejpam-6749	447	5	the	the	DET
ejpam-6749	447	6	terrorism	terrorism	NOUN
ejpam-6749	447	7	-	-	PUNCT
ejpam-6749	447	8	free	free	ADJ
ejpam-6749	447	9	equilibrium	equilibrium	NOUN
ejpam-6749	447	10	becomes	become	VERB
ejpam-6749	447	11	the	the	DET
ejpam-6749	447	12	origin	origin	NOUN
ejpam-6749	447	13	in	in	ADP
ejpam-6749	447	14	the	the	DET
ejpam-6749	447	15	new	new	ADJ
ejpam-6749	447	16	coordinate	coordinate	NOUN
ejpam-6749	447	17	system	system	NOUN
ejpam-6749	447	18	,	,	PUNCT
ejpam-6749	447	19	and	and	CCONJ
ejpam-6749	447	20	ε	ε	PROPN
ejpam-6749	447	21	=	=	SYM
ejpam-6749	447	22	0	0	NUM
ejpam-6749	447	23	corresponds	correspond	VERB
ejpam-6749	447	24	to	to	ADP
ejpam-6749	447	25	the	the	DET
ejpam-6749	447	26	bifurcation	bifurcation	NOUN
ejpam-6749	447	27	point	point	NOUN
ejpam-6749	447	28	.	.	PUNCT
ejpam-6749	448	1	the	the	DET
ejpam-6749	448	2	transformed	transform	VERB
ejpam-6749	448	3	system	system	NOUN
ejpam-6749	448	4	becomes	become	VERB
ejpam-6749	448	5	:	:	PUNCT
ejpam-6749	448	6	u̇	u̇	X
ejpam-6749	448	7	=	=	SYM
ejpam-6749	448	8	(	(	PUNCT
ejpam-6749	448	9	βc	βc	INTJ
ejpam-6749	448	10	+	+	CCONJ
ejpam-6749	448	11	ε)(s∗	ε)(s∗	X
ejpam-6749	448	12	0	0	NUM
ejpam-6749	448	13	+	+	NUM
ejpam-6749	448	14	v)u−	v)u−	NOUN
ejpam-6749	448	15	(	(	PUNCT
ejpam-6749	448	16	φ+	φ+	X
ejpam-6749	448	17	δ	δ	X
ejpam-6749	448	18	+	+	CCONJ
ejpam-6749	448	19	µ)u	µ)u	X
ejpam-6749	448	20	(	(	PUNCT
ejpam-6749	448	21	19	19	NUM
ejpam-6749	448	22	)	)	PUNCT
ejpam-6749	448	23	=	=	PRON
ejpam-6749	449	1	βcs	βcs	NOUN
ejpam-6749	449	2	∗	∗	NOUN
ejpam-6749	449	3	0u+	0u+	NUM
ejpam-6749	449	4	εs∗	εs∗	NOUN
ejpam-6749	449	5	0u+	0u+	NUM
ejpam-6749	449	6	βcvu+	βcvu+	X
ejpam-6749	449	7	εvu−	εvu−	PROPN
ejpam-6749	449	8	(	(	PUNCT
ejpam-6749	449	9	φ+	φ+	X
ejpam-6749	449	10	δ	δ	X
ejpam-6749	449	11	+	+	CCONJ
ejpam-6749	449	12	µ)u	µ)u	NOUN
ejpam-6749	449	13	,	,	PUNCT
ejpam-6749	449	14	(	(	PUNCT
ejpam-6749	449	15	20	20	NUM
ejpam-6749	449	16	)	)	PUNCT
ejpam-6749	450	1	v̇	v̇	NOUN
ejpam-6749	450	2	=	=	SYM
ejpam-6749	450	3	−(µ+	−(µ+	NUM
ejpam-6749	450	4	γ)v	γ)v	PUNCT
ejpam-6749	450	5	−	−	PROPN
ejpam-6749	450	6	(	(	PUNCT
ejpam-6749	450	7	βc	βc	INTJ
ejpam-6749	450	8	+	+	CCONJ
ejpam-6749	450	9	ε)(s∗	ε)(s∗	X
ejpam-6749	450	10	0	0	NUM
ejpam-6749	450	11	+	+	NUM
ejpam-6749	450	12	v)u−	v)u−	NOUN
ejpam-6749	450	13	ku(s∗	ku(s∗	X
ejpam-6749	450	14	0	0	PUNCT
ejpam-6749	451	1	+	+	CCONJ
ejpam-6749	451	2	v	v	NOUN
ejpam-6749	451	3	)	)	PUNCT
ejpam-6749	452	1	+	+	CCONJ
ejpam-6749	452	2	φu	φu	NOUN
ejpam-6749	452	3	,	,	PUNCT
ejpam-6749	452	4	(	(	PUNCT
ejpam-6749	452	5	21	21	NUM
ejpam-6749	452	6	)	)	PUNCT
ejpam-6749	452	7	ẇ	ẇ	PROPN
ejpam-6749	452	8	=	=	SYM
ejpam-6749	452	9	γv	γv	NOUN
ejpam-6749	452	10	−	−	NOUN
ejpam-6749	453	1	µw	µw	PROPN
ejpam-6749	453	2	.	.	PUNCT
ejpam-6749	454	1	(	(	PUNCT
ejpam-6749	454	2	22	22	NUM
ejpam-6749	454	3	)	)	PUNCT
ejpam-6749	454	4	m.	m.	NOUN
ejpam-6749	454	5	zorom	zorom	NOUN
ejpam-6749	454	6	et	et	PROPN
ejpam-6749	454	7	al	al	PROPN
ejpam-6749	454	8	.	.	PUNCT
ejpam-6749	454	9	/	/	SYM
ejpam-6749	454	10	eur	eur	PROPN
ejpam-6749	454	11	.	.	PUNCT
ejpam-6749	455	1	j.	j.	PROPN
ejpam-6749	455	2	pure	pure	PROPN
ejpam-6749	455	3	appl	appl	PROPN
ejpam-6749	455	4	.	.	PROPN
ejpam-6749	455	5	math	math	PROPN
ejpam-6749	455	6	,	,	PUNCT
ejpam-6749	455	7	18	18	NUM
ejpam-6749	455	8	(	(	PUNCT
ejpam-6749	455	9	4	4	NUM
ejpam-6749	455	10	)	)	PUNCT
ejpam-6749	455	11	(	(	PUNCT
ejpam-6749	455	12	2025	2025	NUM
ejpam-6749	455	13	)	)	PUNCT
ejpam-6749	455	14	,	,	PUNCT
ejpam-6749	455	15	6749	6749	NUM
ejpam-6749	455	16	21	21	NUM
ejpam-6749	455	17	of	of	ADP
ejpam-6749	455	18	47	47	NUM
ejpam-6749	455	19	since	since	SCONJ
ejpam-6749	455	20	βc	βc	PRON
ejpam-6749	455	21	is	be	AUX
ejpam-6749	455	22	chosen	choose	VERB
ejpam-6749	455	23	such	such	ADJ
ejpam-6749	455	24	that	that	DET
ejpam-6749	455	25	r0	r0	NOUN
ejpam-6749	455	26	=	=	NOUN
ejpam-6749	455	27	1	1	NUM
ejpam-6749	455	28	at	at	ADP
ejpam-6749	455	29	the	the	DET
ejpam-6749	455	30	bifurcation	bifurcation	NOUN
ejpam-6749	455	31	point	point	NOUN
ejpam-6749	455	32	,	,	PUNCT
ejpam-6749	455	33	we	we	PRON
ejpam-6749	455	34	have	have	AUX
ejpam-6749	455	35	βcs	βc	VERB
ejpam-6749	455	36	∗	∗	NOUN
ejpam-6749	455	37	0	0	NUM
ejpam-6749	456	1	=	=	PUNCT
ejpam-6749	456	2	φ+	φ+	NOUN
ejpam-6749	456	3	δ+µ	δ+µ	PROPN
ejpam-6749	456	4	by	by	ADP
ejpam-6749	456	5	construction	construction	NOUN
ejpam-6749	456	6	.	.	PUNCT
ejpam-6749	457	1	this	this	DET
ejpam-6749	457	2	relationship	relationship	NOUN
ejpam-6749	457	3	simplifies	simplify	VERB
ejpam-6749	457	4	the	the	DET
ejpam-6749	457	5	first	first	ADJ
ejpam-6749	457	6	equation	equation	NOUN
ejpam-6749	457	7	:	:	PUNCT
ejpam-6749	457	8	u̇	u̇	X
ejpam-6749	458	1	=	=	PUNCT
ejpam-6749	458	2	(	(	PUNCT
ejpam-6749	458	3	φ+	φ+	X
ejpam-6749	458	4	δ	δ	NOUN
ejpam-6749	458	5	+	+	CCONJ
ejpam-6749	458	6	µ)u+	µ)u+	X
ejpam-6749	458	7	εs∗	εs∗	NOUN
ejpam-6749	458	8	0u+	0u+	NUM
ejpam-6749	458	9	βcvu+	βcvu+	X
ejpam-6749	458	10	εvu−	εvu−	PROPN
ejpam-6749	458	11	(	(	PUNCT
ejpam-6749	458	12	φ+	φ+	X
ejpam-6749	458	13	δ	δ	X
ejpam-6749	458	14	+	+	CCONJ
ejpam-6749	458	15	µ)u	µ)u	X
ejpam-6749	458	16	=	=	SYM
ejpam-6749	458	17	εs∗	εs∗	NOUN
ejpam-6749	458	18	0u+	0u+	NOUN
ejpam-6749	458	19	βcvu+	βcvu+	X
ejpam-6749	458	20	εvu	εvu	ADJ
ejpam-6749	458	21	.	.	PUNCT
ejpam-6749	459	1	the	the	DET
ejpam-6749	459	2	linearization	linearization	NOUN
ejpam-6749	459	3	of	of	ADP
ejpam-6749	459	4	the	the	DET
ejpam-6749	459	5	transformed	transform	VERB
ejpam-6749	459	6	system	system	NOUN
ejpam-6749	459	7	about	about	ADP
ejpam-6749	459	8	the	the	DET
ejpam-6749	459	9	origin	origin	NOUN
ejpam-6749	459	10	has	have	VERB
ejpam-6749	459	11	the	the	DET
ejpam-6749	459	12	jacobian	jacobian	ADJ
ejpam-6749	459	13	matrix	matrix	NOUN
ejpam-6749	459	14	:	:	PUNCT
ejpam-6749	459	15	jlinear	jlinear	NOUN
ejpam-6749	459	16	=	=	PUNCT
ejpam-6749	459	17			PROPN
ejpam-6749	459	18			NOUN
ejpam-6749	459	19	εs∗	εs∗	NOUN
ejpam-6749	459	20	0	0	NUM
ejpam-6749	459	21	0	0	NUM
ejpam-6749	459	22	0	0	NUM
ejpam-6749	459	23	−βcs	−βcs	NOUN
ejpam-6749	459	24	∗	∗	NOUN
ejpam-6749	459	25	0	0	NUM
ejpam-6749	460	1	−	−	PROPN
ejpam-6749	460	2	ks∗	ks∗	NOUN
ejpam-6749	460	3	0	0	PUNCT
ejpam-6749	461	1	+	+	CCONJ
ejpam-6749	461	2	φ	φ	PROPN
ejpam-6749	461	3	−(µ+	−(µ+	PROPN
ejpam-6749	461	4	γ	γ	PROPN
ejpam-6749	461	5	)	)	PUNCT
ejpam-6749	461	6	0	0	NUM
ejpam-6749	461	7	0	0	NUM
ejpam-6749	462	1	γ	γ	PROPN
ejpam-6749	462	2	−µ	−µ	NOUN
ejpam-6749	462	3			PROPN
ejpam-6749	462	4			PUNCT
ejpam-6749	462	5	.	.	PUNCT
ejpam-6749	463	1	the	the	DET
ejpam-6749	463	2	eigenvalues	eigenvalue	NOUN
ejpam-6749	463	3	of	of	ADP
ejpam-6749	463	4	this	this	DET
ejpam-6749	463	5	matrix	matrix	NOUN
ejpam-6749	463	6	are	be	AUX
ejpam-6749	463	7	:	:	PUNCT
ejpam-6749	463	8	λ1	λ1	ADJ
ejpam-6749	463	9	=	=	PUNCT
ejpam-6749	463	10	εs∗	εs∗	NOUN
ejpam-6749	463	11	0	0	NUM
ejpam-6749	463	12	,	,	PUNCT
ejpam-6749	463	13	λ2	λ2	NOUN
ejpam-6749	463	14	=	=	SYM
ejpam-6749	463	15	−(µ+	−(µ+	NUM
ejpam-6749	463	16	γ	γ	PROPN
ejpam-6749	463	17	)	)	PUNCT
ejpam-6749	463	18	,	,	PUNCT
ejpam-6749	463	19	λ3	λ3	PROPN
ejpam-6749	463	20	=	=	X
ejpam-6749	464	1	−µ.	−µ.	ADV
ejpam-6749	464	2	at	at	ADP
ejpam-6749	464	3	the	the	DET
ejpam-6749	464	4	bifurcation	bifurcation	NOUN
ejpam-6749	464	5	point	point	NOUN
ejpam-6749	464	6	(	(	PUNCT
ejpam-6749	464	7	ε	ε	PROPN
ejpam-6749	464	8	=	=	SYM
ejpam-6749	464	9	0	0	NUM
ejpam-6749	464	10	)	)	PUNCT
ejpam-6749	464	11	,	,	PUNCT
ejpam-6749	464	12	we	we	PRON
ejpam-6749	464	13	have	have	VERB
ejpam-6749	464	14	one	one	NUM
ejpam-6749	464	15	zero	zero	NUM
ejpam-6749	464	16	eigenvalue	eigenvalue	X
ejpam-6749	464	17	(	(	PUNCT
ejpam-6749	464	18	λ1	λ1	PROPN
ejpam-6749	464	19	=	=	SYM
ejpam-6749	464	20	0	0	NUM
ejpam-6749	464	21	)	)	PUNCT
ejpam-6749	464	22	and	and	CCONJ
ejpam-6749	464	23	two	two	NUM
ejpam-6749	464	24	negative	negative	ADJ
ejpam-6749	464	25	eigenvalues	eigenvalue	NOUN
ejpam-6749	464	26	(	(	PUNCT
ejpam-6749	464	27	λ2	λ2	NOUN
ejpam-6749	464	28	,	,	PUNCT
ejpam-6749	464	29	λ3	λ3	PROPN
ejpam-6749	464	30	<	<	X
ejpam-6749	464	31	0	0	NUM
ejpam-6749	464	32	)	)	PUNCT
ejpam-6749	464	33	,	,	PUNCT
ejpam-6749	464	34	confirming	confirm	VERB
ejpam-6749	464	35	the	the	DET
ejpam-6749	464	36	conditions	condition	NOUN
ejpam-6749	464	37	for	for	ADP
ejpam-6749	464	38	a	a	DET
ejpam-6749	464	39	codimension	codimension	NOUN
ejpam-6749	464	40	-	-	PUNCT
ejpam-6749	464	41	one	one	NUM
ejpam-6749	464	42	bifurcation	bifurcation	NOUN
ejpam-6749	464	43	as	as	SCONJ
ejpam-6749	464	44	established	establish	VERB
ejpam-6749	464	45	by	by	ADP
ejpam-6749	464	46	the	the	DET
ejpam-6749	464	47	general	general	ADJ
ejpam-6749	464	48	theory	theory	NOUN
ejpam-6749	464	49	in	in	ADP
ejpam-6749	464	50	kuznetsov	kuznetsov	PROPN
ejpam-6749	464	51	[	[	X
ejpam-6749	464	52	46	46	NUM
ejpam-6749	464	53	]	]	PUNCT
ejpam-6749	464	54	.	.	PUNCT
ejpam-6749	465	1	the	the	DET
ejpam-6749	465	2	center	center	PROPN
ejpam-6749	465	3	manifold	manifold	ADJ
ejpam-6749	465	4	theorem	theorem	NOUN
ejpam-6749	465	5	(	(	PUNCT
ejpam-6749	465	6	see	see	VERB
ejpam-6749	465	7	carr	carr	PROPN
ejpam-6749	466	1	[	[	X
ejpam-6749	466	2	62	62	NUM
ejpam-6749	466	3	]	]	PUNCT
ejpam-6749	466	4	)	)	PUNCT
ejpam-6749	466	5	guarantees	guarantee	VERB
ejpam-6749	466	6	the	the	DET
ejpam-6749	466	7	existence	existence	NOUN
ejpam-6749	466	8	of	of	ADP
ejpam-6749	466	9	a	a	DET
ejpam-6749	466	10	one	one	NUM
ejpam-6749	466	11	-	-	PUNCT
ejpam-6749	466	12	dimensional	dimensional	ADJ
ejpam-6749	466	13	center	center	NOUN
ejpam-6749	466	14	manifold	manifold	ADJ
ejpam-6749	466	15	wc	wc	PROPN
ejpam-6749	466	16	tangent	tangent	NOUN
ejpam-6749	466	17	to	to	ADP
ejpam-6749	466	18	the	the	DET
ejpam-6749	466	19	eigenspace	eigenspace	NOUN
ejpam-6749	466	20	of	of	ADP
ejpam-6749	466	21	the	the	DET
ejpam-6749	466	22	zero	zero	NUM
ejpam-6749	466	23	eigenvalue	eigenvalue	NOUN
ejpam-6749	466	24	at	at	ADP
ejpam-6749	466	25	the	the	DET
ejpam-6749	466	26	origin	origin	NOUN
ejpam-6749	466	27	.	.	PUNCT
ejpam-6749	467	1	on	on	ADP
ejpam-6749	467	2	this	this	DET
ejpam-6749	467	3	manifold	manifold	NOUN
ejpam-6749	467	4	,	,	PUNCT
ejpam-6749	467	5	the	the	DET
ejpam-6749	467	6	stable	stable	ADJ
ejpam-6749	467	7	and	and	CCONJ
ejpam-6749	467	8	unstable	unstable	ADJ
ejpam-6749	467	9	manifolds	manifold	NOUN
ejpam-6749	467	10	can	can	AUX
ejpam-6749	467	11	be	be	AUX
ejpam-6749	467	12	parameterized	parameterized	ADJ
ejpam-6749	467	13	as	as	ADP
ejpam-6749	467	14	:	:	PUNCT
ejpam-6749	467	15	v	v	PROPN
ejpam-6749	467	16	=	=	SYM
ejpam-6749	467	17	h1(u	h1(u	PROPN
ejpam-6749	467	18	,	,	PUNCT
ejpam-6749	467	19	ε	ε	PROPN
ejpam-6749	467	20	)	)	PUNCT
ejpam-6749	467	21	,	,	PUNCT
ejpam-6749	467	22	w	w	PROPN
ejpam-6749	467	23	=	=	SYM
ejpam-6749	467	24	h2(u	h2(u	PROPN
ejpam-6749	467	25	,	,	PUNCT
ejpam-6749	467	26	ε	ε	PROPN
ejpam-6749	467	27	)	)	PUNCT
ejpam-6749	467	28	,	,	PUNCT
ejpam-6749	467	29	where	where	SCONJ
ejpam-6749	467	30	h1	h1	NOUN
ejpam-6749	467	31	and	and	CCONJ
ejpam-6749	467	32	h2	h2	NOUN
ejpam-6749	467	33	are	be	AUX
ejpam-6749	467	34	smooth	smooth	ADJ
ejpam-6749	467	35	functions	function	NOUN
ejpam-6749	467	36	satisfying	satisfy	VERB
ejpam-6749	467	37	h1(0	h1(0	PROPN
ejpam-6749	467	38	,	,	PUNCT
ejpam-6749	467	39	0	0	NUM
ejpam-6749	467	40	)	)	PUNCT
ejpam-6749	468	1	=	=	SYM
ejpam-6749	468	2	h2(0	h2(0	NOUN
ejpam-6749	468	3	,	,	PUNCT
ejpam-6749	468	4	0	0	NUM
ejpam-6749	468	5	)	)	PUNCT
ejpam-6749	468	6	=	=	SYM
ejpam-6749	468	7	0	0	NUM
ejpam-6749	469	1	and	and	CCONJ
ejpam-6749	469	2	∂h1	∂h1	PROPN
ejpam-6749	469	3	∂u	∂u	PROPN
ejpam-6749	469	4	(	(	PUNCT
ejpam-6749	469	5	0	0	NUM
ejpam-6749	469	6	,	,	PUNCT
ejpam-6749	469	7	0	0	NUM
ejpam-6749	469	8	)	)	PUNCT
ejpam-6749	469	9	=	=	PUNCT
ejpam-6749	470	1	∂h2	∂h2	ADP
ejpam-6749	470	2	∂u	∂u	PROPN
ejpam-6749	470	3	(	(	PUNCT
ejpam-6749	470	4	0	0	NUM
ejpam-6749	470	5	,	,	PUNCT
ejpam-6749	470	6	0	0	NUM
ejpam-6749	470	7	)	)	PUNCT
ejpam-6749	470	8	=	=	SYM
ejpam-6749	470	9	0	0	X
ejpam-6749	470	10	.	.	PUNCT
ejpam-6749	470	11	expanding	expand	VERB
ejpam-6749	470	12	these	these	DET
ejpam-6749	470	13	functions	function	NOUN
ejpam-6749	470	14	in	in	ADP
ejpam-6749	470	15	taylor	taylor	PROPN
ejpam-6749	470	16	series	series	PROPN
ejpam-6749	470	17	around	around	ADP
ejpam-6749	470	18	the	the	DET
ejpam-6749	470	19	origin	origin	NOUN
ejpam-6749	470	20	:	:	PUNCT
ejpam-6749	470	21	h1(u	h1(u	PROPN
ejpam-6749	470	22	,	,	PUNCT
ejpam-6749	470	23	ε	ε	PROPN
ejpam-6749	470	24	)	)	PUNCT
ejpam-6749	470	25	=	=	PUNCT
ejpam-6749	470	26	a20u	a20u	NOUN
ejpam-6749	470	27	2	2	NUM
ejpam-6749	470	28	+	+	NUM
ejpam-6749	470	29	a11uε+	a11uε+	ADJ
ejpam-6749	470	30	a02ε	a02ε	NOUN
ejpam-6749	470	31	2	2	NUM
ejpam-6749	470	32	+	+	NOUN
ejpam-6749	470	33	o(3	o(3	NOUN
ejpam-6749	470	34	)	)	PUNCT
ejpam-6749	470	35	,	,	PUNCT
ejpam-6749	470	36	h2(u	h2(u	PROPN
ejpam-6749	470	37	,	,	PUNCT
ejpam-6749	470	38	ε	ε	PROPN
ejpam-6749	470	39	)	)	PUNCT
ejpam-6749	470	40	=	=	PUNCT
ejpam-6749	470	41	b20u	b20u	NOUN
ejpam-6749	470	42	2	2	NUM
ejpam-6749	470	43	+	+	CCONJ
ejpam-6749	470	44	b11uε+	b11uε+	PROPN
ejpam-6749	470	45	b02ε	b02ε	NOUN
ejpam-6749	470	46	2	2	NUM
ejpam-6749	470	47	+	+	NOUN
ejpam-6749	470	48	o(3	o(3	NOUN
ejpam-6749	470	49	)	)	PUNCT
ejpam-6749	470	50	,	,	PUNCT
ejpam-6749	470	51	where	where	SCONJ
ejpam-6749	470	52	o(3	o(3	NOUN
ejpam-6749	470	53	)	)	PUNCT
ejpam-6749	470	54	denotes	denote	VERB
ejpam-6749	470	55	terms	term	NOUN
ejpam-6749	470	56	of	of	ADP
ejpam-6749	470	57	order	order	NOUN
ejpam-6749	470	58	three	three	NUM
ejpam-6749	470	59	and	and	CCONJ
ejpam-6749	470	60	higher	high	ADJ
ejpam-6749	470	61	.	.	PUNCT
ejpam-6749	471	1	the	the	DET
ejpam-6749	471	2	center	center	ADJ
ejpam-6749	471	3	manifold	manifold	ADJ
ejpam-6749	471	4	condition	condition	NOUN
ejpam-6749	471	5	requires	require	VERB
ejpam-6749	471	6	that	that	SCONJ
ejpam-6749	471	7	v	v	X
ejpam-6749	471	8	=	=	SYM
ejpam-6749	471	9	h1(u	h1(u	PROPN
ejpam-6749	471	10	,	,	PUNCT
ejpam-6749	471	11	ε	ε	PROPN
ejpam-6749	471	12	)	)	PUNCT
ejpam-6749	471	13	and	and	CCONJ
ejpam-6749	471	14	w	w	PROPN
ejpam-6749	471	15	=	=	SYM
ejpam-6749	471	16	h2(u	h2(u	PROPN
ejpam-6749	471	17	,	,	PUNCT
ejpam-6749	471	18	ε	ε	PROPN
ejpam-6749	471	19	)	)	PUNCT
ejpam-6749	471	20	satisfy	satisfy	VERB
ejpam-6749	471	21	the	the	DET
ejpam-6749	471	22	invariance	invariance	NOUN
ejpam-6749	471	23	condition	condition	NOUN
ejpam-6749	471	24	:	:	PUNCT
ejpam-6749	471	25	∂h1	∂h1	PROPN
ejpam-6749	471	26	∂u	∂u	PROPN
ejpam-6749	471	27	u̇+	u̇+	NOUN
ejpam-6749	471	28	∂h1	∂h1	PROPN
ejpam-6749	471	29	∂ε	∂ε	PROPN
ejpam-6749	471	30	ε̇	ε̇	NOUN
ejpam-6749	471	31	=	=	PUNCT
ejpam-6749	472	1	v̇	v̇	PROPN
ejpam-6749	472	2	∣∣	∣∣	NUM
ejpam-6749	472	3	wc	wc	PROPN
ejpam-6749	472	4	.	.	PUNCT
ejpam-6749	473	1	since	since	SCONJ
ejpam-6749	473	2	ε	ε	PROPN
ejpam-6749	473	3	is	be	AUX
ejpam-6749	473	4	treated	treat	VERB
ejpam-6749	473	5	as	as	ADP
ejpam-6749	473	6	a	a	DET
ejpam-6749	473	7	parameter	parameter	NOUN
ejpam-6749	473	8	(	(	PUNCT
ejpam-6749	473	9	ε̇	ε̇	NOUN
ejpam-6749	473	10	=	=	SYM
ejpam-6749	473	11	0	0	NUM
ejpam-6749	473	12	)	)	PUNCT
ejpam-6749	473	13	,	,	PUNCT
ejpam-6749	473	14	this	this	DET
ejpam-6749	473	15	condition	condition	NOUN
ejpam-6749	473	16	becomes	become	VERB
ejpam-6749	473	17	:	:	PUNCT
ejpam-6749	473	18	∂h1	∂h1	PROPN
ejpam-6749	473	19	∂u	∂u	PROPN
ejpam-6749	473	20	u̇	u̇	PROPN
ejpam-6749	474	1	=	=	PUNCT
ejpam-6749	474	2	v̇	v̇	PROPN
ejpam-6749	474	3	∣∣	∣∣	NUM
ejpam-6749	474	4	wc	wc	PROPN
ejpam-6749	474	5	.	.	PUNCT
ejpam-6749	475	1	substituting	substitute	VERB
ejpam-6749	475	2	the	the	DET
ejpam-6749	475	3	expressions	expression	NOUN
ejpam-6749	475	4	for	for	ADP
ejpam-6749	475	5	u̇	u̇	PROPN
ejpam-6749	475	6	and	and	CCONJ
ejpam-6749	475	7	v̇	v̇	NOUN
ejpam-6749	475	8	and	and	CCONJ
ejpam-6749	475	9	equating	equate	VERB
ejpam-6749	475	10	coefficients	coefficient	NOUN
ejpam-6749	475	11	of	of	ADP
ejpam-6749	475	12	like	like	ADP
ejpam-6749	475	13	powers	power	NOUN
ejpam-6749	475	14	of	of	ADP
ejpam-6749	475	15	u	u	PROPN
ejpam-6749	475	16	and	and	CCONJ
ejpam-6749	475	17	ε	ε	PROPN
ejpam-6749	475	18	,	,	PUNCT
ejpam-6749	475	19	we	we	PRON
ejpam-6749	475	20	can	can	AUX
ejpam-6749	475	21	solve	solve	VERB
ejpam-6749	475	22	for	for	ADP
ejpam-6749	475	23	the	the	DET
ejpam-6749	475	24	taylor	taylor	PROPN
ejpam-6749	475	25	coefficients	coefficient	NOUN
ejpam-6749	475	26	.	.	PUNCT
ejpam-6749	476	1	at	at	ADP
ejpam-6749	476	2	second	second	ADJ
ejpam-6749	476	3	order	order	NOUN
ejpam-6749	476	4	in	in	ADP
ejpam-6749	476	5	u	u	NOUN
ejpam-6749	476	6	:	:	PUNCT
ejpam-6749	476	7	2a20	2a20	NUM
ejpam-6749	476	8	·	·	PUNCT
ejpam-6749	476	9	0	0	PUNCT
ejpam-6749	477	1	=	=	SYM
ejpam-6749	477	2	−(µ+	−(µ+	X
ejpam-6749	477	3	γ)a20	γ)a20	PUNCT
ejpam-6749	477	4	−	−	PROPN
ejpam-6749	477	5	βc	βc	PROPN
ejpam-6749	477	6	,	,	PUNCT
ejpam-6749	477	7	m.	m.	NOUN
ejpam-6749	477	8	zorom	zorom	NOUN
ejpam-6749	477	9	et	et	PROPN
ejpam-6749	477	10	al	al	PROPN
ejpam-6749	477	11	.	.	PUNCT
ejpam-6749	477	12	/	/	SYM
ejpam-6749	477	13	eur	eur	PROPN
ejpam-6749	477	14	.	.	PUNCT
ejpam-6749	478	1	j.	j.	PROPN
ejpam-6749	478	2	pure	pure	PROPN
ejpam-6749	478	3	appl	appl	PROPN
ejpam-6749	478	4	.	.	PROPN
ejpam-6749	478	5	math	math	PROPN
ejpam-6749	478	6	,	,	PUNCT
ejpam-6749	478	7	18	18	NUM
ejpam-6749	478	8	(	(	PUNCT
ejpam-6749	478	9	4	4	NUM
ejpam-6749	478	10	)	)	PUNCT
ejpam-6749	478	11	(	(	PUNCT
ejpam-6749	478	12	2025	2025	NUM
ejpam-6749	478	13	)	)	PUNCT
ejpam-6749	478	14	,	,	PUNCT
ejpam-6749	478	15	6749	6749	NUM
ejpam-6749	478	16	22	22	NUM
ejpam-6749	478	17	of	of	ADP
ejpam-6749	478	18	47	47	NUM
ejpam-6749	478	19	which	which	PRON
ejpam-6749	478	20	gives	give	VERB
ejpam-6749	478	21	:	:	PUNCT
ejpam-6749	478	22	a20	a20	PROPN
ejpam-6749	478	23	=	=	PUNCT
ejpam-6749	479	1	−	−	PROPN
ejpam-6749	479	2	βc	βc	INTJ
ejpam-6749	479	3	µ+	µ+	X
ejpam-6749	479	4	γ	γ	X
ejpam-6749	479	5	<	<	X
ejpam-6749	479	6	0	0	NUM
ejpam-6749	479	7	.	.	PUNCT
ejpam-6749	480	1	the	the	DET
ejpam-6749	480	2	reduced	reduce	VERB
ejpam-6749	480	3	dynamics	dynamic	NOUN
ejpam-6749	480	4	on	on	ADP
ejpam-6749	480	5	the	the	DET
ejpam-6749	480	6	center	center	NOUN
ejpam-6749	480	7	manifold	manifold	NOUN
ejpam-6749	480	8	are	be	AUX
ejpam-6749	480	9	obtained	obtain	VERB
ejpam-6749	480	10	by	by	ADP
ejpam-6749	480	11	substituting	substitute	VERB
ejpam-6749	480	12	v	v	ADP
ejpam-6749	480	13	=	=	SYM
ejpam-6749	480	14	h1(u	h1(u	PROPN
ejpam-6749	480	15	,	,	PUNCT
ejpam-6749	480	16	ε	ε	PROPN
ejpam-6749	480	17	)	)	PUNCT
ejpam-6749	480	18	into	into	ADP
ejpam-6749	480	19	the	the	DET
ejpam-6749	480	20	equation	equation	NOUN
ejpam-6749	480	21	for	for	ADP
ejpam-6749	480	22	u̇	u̇	PROPN
ejpam-6749	480	23	:	:	PUNCT
ejpam-6749	480	24	u̇	u̇	PROPN
ejpam-6749	480	25	=	=	NOUN
ejpam-6749	480	26	εs∗	εs∗	NOUN
ejpam-6749	480	27	0u+	0u+	NUM
ejpam-6749	480	28	βcuh1(u	βcuh1(u	NUM
ejpam-6749	480	29	,	,	PUNCT
ejpam-6749	480	30	ε	ε	PROPN
ejpam-6749	480	31	)	)	PUNCT
ejpam-6749	480	32	+	+	NUM
ejpam-6749	480	33	εuh1(u	εuh1(u	NUM
ejpam-6749	480	34	,	,	PUNCT
ejpam-6749	480	35	ε	ε	PROPN
ejpam-6749	480	36	)	)	PUNCT
ejpam-6749	480	37	.	.	PUNCT
ejpam-6749	481	1	substituting	substitute	VERB
ejpam-6749	481	2	the	the	DET
ejpam-6749	481	3	taylor	taylor	PROPN
ejpam-6749	481	4	expansion	expansion	NOUN
ejpam-6749	481	5	for	for	ADP
ejpam-6749	481	6	h1	h1	NOUN
ejpam-6749	481	7	and	and	CCONJ
ejpam-6749	481	8	collecting	collect	VERB
ejpam-6749	481	9	terms	term	NOUN
ejpam-6749	481	10	:	:	PUNCT
ejpam-6749	481	11	u̇	u̇	NOUN
ejpam-6749	481	12	=	=	NOUN
ejpam-6749	481	13	εs∗	εs∗	NOUN
ejpam-6749	481	14	0u+	0u+	NUM
ejpam-6749	481	15	βcu	βcu	NOUN
ejpam-6749	481	16	·	·	PUNCT
ejpam-6749	481	17	a20u2	a20u2	PROPN
ejpam-6749	481	18	+	+	SYM
ejpam-6749	481	19	o(u3	o(u3	NOUN
ejpam-6749	481	20	,	,	PUNCT
ejpam-6749	481	21	εu2	εu2	X
ejpam-6749	481	22	)	)	PUNCT
ejpam-6749	481	23	=	=	SYM
ejpam-6749	481	24	εs∗	εs∗	NOUN
ejpam-6749	481	25	0u+	0u+	NUM
ejpam-6749	481	26	βca20u	βca20u	NOUN
ejpam-6749	481	27	2	2	NUM
ejpam-6749	481	28	+	+	NOUN
ejpam-6749	481	29	o(3	o(3	NOUN
ejpam-6749	481	30	)	)	PUNCT
ejpam-6749	481	31	.	.	PUNCT
ejpam-6749	482	1	this	this	PRON
ejpam-6749	482	2	yields	yield	VERB
ejpam-6749	482	3	the	the	DET
ejpam-6749	482	4	reduced	reduced	ADJ
ejpam-6749	482	5	equation	equation	NOUN
ejpam-6749	482	6	:	:	PUNCT
ejpam-6749	482	7	u̇	u̇	X
ejpam-6749	483	1	=	=	NOUN
ejpam-6749	483	2	εs∗	εs∗	NOUN
ejpam-6749	483	3	0u−	0u−	PROPN
ejpam-6749	483	4	β2	β2	PROPN
ejpam-6749	483	5	c	c	PROPN
ejpam-6749	483	6	µ+	µ+	PUNCT
ejpam-6749	483	7	γ	γ	X
ejpam-6749	483	8	u2	u2	PROPN
ejpam-6749	483	9	+	+	PROPN
ejpam-6749	483	10	o(u3	o(u3	NOUN
ejpam-6749	483	11	,	,	PUNCT
ejpam-6749	483	12	εu2	εu2	PROPN
ejpam-6749	483	13	)	)	PUNCT
ejpam-6749	483	14	.	.	PUNCT
ejpam-6749	484	1	this	this	PRON
ejpam-6749	484	2	is	be	AUX
ejpam-6749	484	3	precisely	precisely	ADV
ejpam-6749	484	4	the	the	DET
ejpam-6749	484	5	canonical	canonical	ADJ
ejpam-6749	484	6	form	form	NOUN
ejpam-6749	484	7	for	for	ADP
ejpam-6749	484	8	a	a	DET
ejpam-6749	484	9	transcritical	transcritical	ADJ
ejpam-6749	484	10	bifurcation	bifurcation	NOUN
ejpam-6749	484	11	as	as	SCONJ
ejpam-6749	484	12	established	establish	VERB
ejpam-6749	484	13	by	by	ADP
ejpam-6749	484	14	guckenheimer	guckenheimer	NOUN
ejpam-6749	484	15	and	and	CCONJ
ejpam-6749	484	16	holmes	holme	NOUN
ejpam-6749	484	17	[	[	X
ejpam-6749	484	18	63	63	NUM
ejpam-6749	484	19	]	]	PUNCT
ejpam-6749	484	20	.	.	PUNCT
ejpam-6749	485	1	the	the	DET
ejpam-6749	485	2	coefficient	coefficient	NOUN
ejpam-6749	485	3	of	of	ADP
ejpam-6749	485	4	u2	u2	PROPN
ejpam-6749	485	5	is	be	AUX
ejpam-6749	485	6	f2	f2	ADJ
ejpam-6749	485	7	=	=	SYM
ejpam-6749	485	8	−	−	PROPN
ejpam-6749	485	9	β2	β2	NOUN
ejpam-6749	485	10	c	c	PROPN
ejpam-6749	485	11	µ+γ	µ+γ	X
ejpam-6749	485	12	<	<	X
ejpam-6749	485	13	0	0	NUM
ejpam-6749	485	14	,	,	PUNCT
ejpam-6749	485	15	confirming	confirm	VERB
ejpam-6749	485	16	that	that	SCONJ
ejpam-6749	485	17	the	the	DET
ejpam-6749	485	18	bifurcation	bifurcation	NOUN
ejpam-6749	485	19	is	be	AUX
ejpam-6749	485	20	supercritical	supercritical	ADJ
ejpam-6749	485	21	.	.	PUNCT
ejpam-6749	486	1	the	the	DET
ejpam-6749	486	2	bifurcation	bifurcation	NOUN
ejpam-6749	486	3	analysis	analysis	NOUN
ejpam-6749	486	4	reveals	reveal	VERB
ejpam-6749	486	5	the	the	DET
ejpam-6749	486	6	following	follow	VERB
ejpam-6749	486	7	behavior	behavior	NOUN
ejpam-6749	486	8	:	:	PUNCT
ejpam-6749	486	9	for	for	ADP
ejpam-6749	486	10	ε	ε	PROPN
ejpam-6749	486	11	<	<	X
ejpam-6749	486	12	0	0	PROPN
ejpam-6749	486	13	(	(	PUNCT
ejpam-6749	486	14	equivalently	equivalently	ADV
ejpam-6749	486	15	,	,	PUNCT
ejpam-6749	486	16	r0	r0	NOUN
ejpam-6749	486	17	<	<	NOUN
ejpam-6749	486	18	1	1	NUM
ejpam-6749	486	19	):	):	PUNCT
ejpam-6749	486	20	the	the	DET
ejpam-6749	486	21	origin	origin	NOUN
ejpam-6749	486	22	u	u	NOUN
ejpam-6749	486	23	=	=	NOUN
ejpam-6749	486	24	0	0	NUM
ejpam-6749	486	25	is	be	AUX
ejpam-6749	486	26	locally	locally	ADV
ejpam-6749	486	27	asymptotically	asymptotically	ADV
ejpam-6749	486	28	stable	stable	ADJ
ejpam-6749	486	29	,	,	PUNCT
ejpam-6749	486	30	and	and	CCONJ
ejpam-6749	486	31	no	no	DET
ejpam-6749	486	32	positive	positive	ADJ
ejpam-6749	486	33	equilibrium	equilibrium	NOUN
ejpam-6749	486	34	exists	exist	VERB
ejpam-6749	486	35	near	near	ADP
ejpam-6749	486	36	the	the	DET
ejpam-6749	486	37	origin	origin	NOUN
ejpam-6749	486	38	.	.	PUNCT
ejpam-6749	487	1	this	this	PRON
ejpam-6749	487	2	corresponds	correspond	VERB
ejpam-6749	487	3	to	to	ADP
ejpam-6749	487	4	the	the	DET
ejpam-6749	487	5	regime	regime	NOUN
ejpam-6749	487	6	where	where	SCONJ
ejpam-6749	487	7	terrorism	terrorism	NOUN
ejpam-6749	487	8	is	be	AUX
ejpam-6749	487	9	eliminated	eliminate	VERB
ejpam-6749	487	10	.	.	PUNCT
ejpam-6749	488	1	for	for	ADP
ejpam-6749	488	2	ε	ε	PROPN
ejpam-6749	488	3	>	>	X
ejpam-6749	488	4	0	0	PUNCT
ejpam-6749	488	5	(	(	PUNCT
ejpam-6749	488	6	equivalently	equivalently	ADV
ejpam-6749	488	7	,	,	PUNCT
ejpam-6749	488	8	r0	r0	NOUN
ejpam-6749	488	9	>	>	X
ejpam-6749	488	10	1	1	NUM
ejpam-6749	488	11	):	):	PUNCT
ejpam-6749	488	12	the	the	DET
ejpam-6749	488	13	origin	origin	NOUN
ejpam-6749	488	14	becomes	become	VERB
ejpam-6749	488	15	unstable	unstable	ADJ
ejpam-6749	488	16	,	,	PUNCT
ejpam-6749	488	17	and	and	CCONJ
ejpam-6749	488	18	a	a	DET
ejpam-6749	488	19	stable	stable	ADJ
ejpam-6749	488	20	positive	positive	ADJ
ejpam-6749	488	21	equilibrium	equilibrium	NOUN
ejpam-6749	488	22	appears	appear	VERB
ejpam-6749	488	23	at	at	ADP
ejpam-6749	488	24	:	:	PUNCT
ejpam-6749	488	25	u∗	u∗	NOUN
ejpam-6749	488	26	=	=	SYM
ejpam-6749	488	27	εs∗	εs∗	NOUN
ejpam-6749	488	28	0	0	NUM
ejpam-6749	488	29	−f2	−f2	NOUN
ejpam-6749	488	30	=	=	PUNCT
ejpam-6749	489	1	εs∗	εs∗	NOUN
ejpam-6749	489	2	0(µ+	0(µ+	X
ejpam-6749	489	3	γ	γ	X
ejpam-6749	489	4	)	)	PUNCT
ejpam-6749	489	5	β2	β2	NOUN
ejpam-6749	489	6	c	c	PROPN
ejpam-6749	489	7	>	>	X
ejpam-6749	489	8	0	0	NUM
ejpam-6749	489	9	.	.	NOUN
ejpam-6749	489	10	8	8	NUM
ejpam-6749	489	11	.	.	PUNCT
ejpam-6749	489	12	sobol	sobol	NOUN
ejpam-6749	489	13	’	'	PUNCT
ejpam-6749	489	14	sensitivity	sensitivity	NOUN
ejpam-6749	489	15	analysis	analysis	NOUN
ejpam-6749	489	16	to	to	PART
ejpam-6749	489	17	directly	directly	ADV
ejpam-6749	489	18	address	address	VERB
ejpam-6749	489	19	the	the	DET
ejpam-6749	489	20	sensitivity	sensitivity	NOUN
ejpam-6749	489	21	of	of	ADP
ejpam-6749	489	22	our	our	PRON
ejpam-6749	489	23	findings	finding	NOUN
ejpam-6749	489	24	to	to	PART
ejpam-6749	489	25	parameter	parameter	VERB
ejpam-6749	489	26	uncertainty	uncertainty	NOUN
ejpam-6749	489	27	,	,	PUNCT
ejpam-6749	489	28	especially	especially	ADV
ejpam-6749	489	29	for	for	ADP
ejpam-6749	489	30	hard	hard	ADJ
ejpam-6749	489	31	-	-	PUNCT
ejpam-6749	489	32	to	to	ADP
ejpam-6749	489	33	-	-	PUNCT
ejpam-6749	489	34	measure	measure	NOUN
ejpam-6749	489	35	parameters	parameter	NOUN
ejpam-6749	489	36	,	,	PUNCT
ejpam-6749	489	37	we	we	PRON
ejpam-6749	489	38	employ	employ	VERB
ejpam-6749	489	39	sobol	sobol	NOUN
ejpam-6749	489	40	’s	’s	PART
ejpam-6749	489	41	global	global	ADJ
ejpam-6749	489	42	sensitivity	sensitivity	NOUN
ejpam-6749	489	43	analysis	analysis	NOUN
ejpam-6749	489	44	.	.	PUNCT
ejpam-6749	490	1	global	global	ADJ
ejpam-6749	490	2	sensitivity	sensitivity	NOUN
ejpam-6749	490	3	analysis	analysis	NOUN
ejpam-6749	490	4	provides	provide	VERB
ejpam-6749	490	5	quantitative	quantitative	ADJ
ejpam-6749	490	6	frameworks	framework	NOUN
ejpam-6749	490	7	for	for	ADP
ejpam-6749	490	8	understanding	understand	VERB
ejpam-6749	490	9	parameter	parameter	NOUN
ejpam-6749	490	10	importance	importance	NOUN
ejpam-6749	490	11	and	and	CCONJ
ejpam-6749	490	12	uncertainty	uncertainty	NOUN
ejpam-6749	490	13	propagation	propagation	NOUN
ejpam-6749	490	14	in	in	ADP
ejpam-6749	490	15	complex	complex	ADJ
ejpam-6749	490	16	mathematical	mathematical	ADJ
ejpam-6749	490	17	models	model	NOUN
ejpam-6749	490	18	.	.	PUNCT
ejpam-6749	491	1	the	the	DET
ejpam-6749	491	2	sobol	sobol	NOUN
ejpam-6749	491	3	method	method	NOUN
ejpam-6749	491	4	,	,	PUNCT
ejpam-6749	491	5	originally	originally	ADV
ejpam-6749	491	6	developed	develop	VERB
ejpam-6749	491	7	by	by	ADP
ejpam-6749	491	8	sobol	sobol	NOUN
ejpam-6749	491	9	[	[	X
ejpam-6749	491	10	65	65	NUM
ejpam-6749	491	11	]	]	PUNCT
ejpam-6749	491	12	and	and	CCONJ
ejpam-6749	491	13	comprehensively	comprehensively	ADV
ejpam-6749	491	14	analyzed	analyze	VERB
ejpam-6749	491	15	by	by	ADP
ejpam-6749	491	16	saltelli	saltelli	PROPN
ejpam-6749	491	17	et	et	PROPN
ejpam-6749	491	18	al	al	PROPN
ejpam-6749	491	19	.	.	PUNCT
ejpam-6749	492	1	[	[	X
ejpam-6749	492	2	66	66	NUM
ejpam-6749	492	3	]	]	PUNCT
ejpam-6749	492	4	,	,	PUNCT
ejpam-6749	492	5	offers	offer	VERB
ejpam-6749	492	6	a	a	DET
ejpam-6749	492	7	mathematical	mathematical	ADJ
ejpam-6749	492	8	framework	framework	NOUN
ejpam-6749	492	9	for	for	ADP
ejpam-6749	492	10	variance	variance	NOUN
ejpam-6749	492	11	decomposition	decomposition	NOUN
ejpam-6749	492	12	of	of	ADP
ejpam-6749	492	13	model	model	NOUN
ejpam-6749	492	14	outputs	output	NOUN
ejpam-6749	492	15	into	into	ADP
ejpam-6749	492	16	contributions	contribution	NOUN
ejpam-6749	492	17	from	from	ADP
ejpam-6749	492	18	individual	individual	ADJ
ejpam-6749	492	19	parameters	parameter	NOUN
ejpam-6749	492	20	and	and	CCONJ
ejpam-6749	492	21	their	their	PRON
ejpam-6749	492	22	interactions	interaction	NOUN
ejpam-6749	492	23	.	.	PUNCT
ejpam-6749	493	1	m.	m.	NOUN
ejpam-6749	493	2	zorom	zorom	NOUN
ejpam-6749	493	3	et	et	PROPN
ejpam-6749	493	4	al	al	PROPN
ejpam-6749	493	5	.	.	PUNCT
ejpam-6749	493	6	/	/	SYM
ejpam-6749	493	7	eur	eur	PROPN
ejpam-6749	493	8	.	.	PUNCT
ejpam-6749	494	1	j.	j.	PROPN
ejpam-6749	494	2	pure	pure	PROPN
ejpam-6749	494	3	appl	appl	PROPN
ejpam-6749	494	4	.	.	PROPN
ejpam-6749	494	5	math	math	PROPN
ejpam-6749	494	6	,	,	PUNCT
ejpam-6749	494	7	18	18	NUM
ejpam-6749	494	8	(	(	PUNCT
ejpam-6749	494	9	4	4	NUM
ejpam-6749	494	10	)	)	PUNCT
ejpam-6749	494	11	(	(	PUNCT
ejpam-6749	494	12	2025	2025	NUM
ejpam-6749	494	13	)	)	PUNCT
ejpam-6749	494	14	,	,	PUNCT
ejpam-6749	494	15	6749	6749	NUM
ejpam-6749	494	16	23	23	NUM
ejpam-6749	494	17	of	of	ADP
ejpam-6749	494	18	47	47	NUM
ejpam-6749	494	19	8.1	8.1	NUM
ejpam-6749	494	20	.	.	PUNCT
ejpam-6749	495	1	theoretical	theoretical	ADJ
ejpam-6749	495	2	foundation	foundation	NOUN
ejpam-6749	495	3	of	of	ADP
ejpam-6749	495	4	variance	variance	NOUN
ejpam-6749	495	5	decomposition	decomposition	NOUN
ejpam-6749	495	6	definition	definition	NOUN
ejpam-6749	495	7	2	2	X
ejpam-6749	495	8	.	.	PUNCT
ejpam-6749	496	1	let	let	VERB
ejpam-6749	496	2	f	f	NOUN
ejpam-6749	496	3	:	:	PUNCT
ejpam-6749	496	4	d	d	X
ejpam-6749	496	5	→	→	SYM
ejpam-6749	496	6	r	r	NOUN
ejpam-6749	496	7	be	be	AUX
ejpam-6749	496	8	a	a	DET
ejpam-6749	496	9	square	square	ADJ
ejpam-6749	496	10	-	-	PUNCT
ejpam-6749	496	11	integrable	integrable	ADJ
ejpam-6749	496	12	function	function	NOUN
ejpam-6749	496	13	where	where	SCONJ
ejpam-6749	496	14	d	d	NOUN
ejpam-6749	496	15	=	=	X
ejpam-6749	496	16	∏k	∏k	X
ejpam-6749	496	17	i=1[ai	i=1[ai	NOUN
ejpam-6749	496	18	,	,	PUNCT
ejpam-6749	496	19	bi	bi	NOUN
ejpam-6749	496	20	]	]	X
ejpam-6749	496	21	⊂	⊂	PUNCT
ejpam-6749	496	22	rk	rk	NOUN
ejpam-6749	496	23	represents	represent	VERB
ejpam-6749	496	24	the	the	DET
ejpam-6749	496	25	parameter	parameter	NOUN
ejpam-6749	496	26	domain	domain	NOUN
ejpam-6749	496	27	with	with	ADP
ejpam-6749	496	28	independent	independent	ADJ
ejpam-6749	496	29	random	random	ADJ
ejpam-6749	496	30	inputs	input	NOUN
ejpam-6749	497	1	x	x	SYM
ejpam-6749	497	2	=	=	SYM
ejpam-6749	497	3	(	(	PUNCT
ejpam-6749	497	4	x1	x1	PROPN
ejpam-6749	497	5	,	,	PUNCT
ejpam-6749	497	6	.	.	PUNCT
ejpam-6749	497	7	.	.	PUNCT
ejpam-6749	497	8	.	.	PUNCT
ejpam-6749	498	1	,	,	PUNCT
ejpam-6749	498	2	xk	xk	PROPN
ejpam-6749	498	3	)	)	PUNCT
ejpam-6749	498	4	having	have	VERB
ejpam-6749	498	5	joint	joint	ADJ
ejpam-6749	498	6	probability	probability	NOUN
ejpam-6749	498	7	measure	measure	NOUN
ejpam-6749	498	8	µ.	µ.	VERB
ejpam-6749	498	9	the	the	DET
ejpam-6749	498	10	functional	functional	ADJ
ejpam-6749	498	11	anova	anova	X
ejpam-6749	498	12	(	(	PUNCT
ejpam-6749	498	13	analysis	analysis	NOUN
ejpam-6749	498	14	of	of	ADP
ejpam-6749	498	15	variance	variance	NOUN
ejpam-6749	498	16	)	)	PUNCT
ejpam-6749	498	17	decomposition	decomposition	NOUN
ejpam-6749	498	18	,	,	PUNCT
ejpam-6749	498	19	established	establish	VERB
ejpam-6749	498	20	rigorously	rigorously	ADV
ejpam-6749	498	21	by	by	ADP
ejpam-6749	498	22	efron	efron	PROPN
ejpam-6749	498	23	and	and	CCONJ
ejpam-6749	498	24	stein	stein	PROPN
ejpam-6749	499	1	[	[	X
ejpam-6749	499	2	67	67	NUM
ejpam-6749	499	3	]	]	PUNCT
ejpam-6749	499	4	,	,	PUNCT
ejpam-6749	499	5	expresses	express	VERB
ejpam-6749	499	6	f(x	f(x	PROPN
ejpam-6749	499	7	)	)	PUNCT
ejpam-6749	500	1	=	=	SYM
ejpam-6749	500	2	f0	f0	PROPN
ejpam-6749	500	3	+	+	CCONJ
ejpam-6749	500	4	k∑	k∑	PROPN
ejpam-6749	500	5	i=1	i=1	PROPN
ejpam-6749	500	6	fi(xi	fi(xi	PROPN
ejpam-6749	500	7	)	)	PUNCT
ejpam-6749	501	1	+	+	CCONJ
ejpam-6749	501	2	∑	∑	PUNCT
ejpam-6749	501	3	1≤i	1≤i	NUM
ejpam-6749	501	4	<	<	X
ejpam-6749	501	5	j≤k	j≤k	PROPN
ejpam-6749	501	6	fij(xi	fij(xi	PROPN
ejpam-6749	501	7	,	,	PUNCT
ejpam-6749	501	8	xj	xj	PROPN
ejpam-6749	501	9	)	)	PUNCT
ejpam-6749	501	10	+	+	CCONJ
ejpam-6749	501	11	·	·	PUNCT
ejpam-6749	501	12	·	·	PUNCT
ejpam-6749	501	13	·	·	PUNCT
ejpam-6749	501	14	+	+	NUM
ejpam-6749	501	15	f1,2,	f1,2,	NOUN
ejpam-6749	501	16	...	...	PUNCT
ejpam-6749	501	17	,k(x1	,k(x1	NOUN
ejpam-6749	501	18	,	,	PUNCT
ejpam-6749	501	19	.	.	PUNCT
ejpam-6749	501	20	.	.	PUNCT
ejpam-6749	501	21	.	.	PUNCT
ejpam-6749	502	1	,	,	PUNCT
ejpam-6749	502	2	xk	xk	PROPN
ejpam-6749	502	3	)	)	PUNCT
ejpam-6749	502	4	,	,	PUNCT
ejpam-6749	502	5	where	where	SCONJ
ejpam-6749	502	6	the	the	DET
ejpam-6749	502	7	summands	summand	NOUN
ejpam-6749	502	8	satisfy	satisfy	VERB
ejpam-6749	502	9	the	the	DET
ejpam-6749	502	10	orthogonality	orthogonality	NOUN
ejpam-6749	502	11	conditions	condition	NOUN
ejpam-6749	502	12	∫	∫	X
ejpam-6749	502	13	ds	ds	ADJ
ejpam-6749	502	14	fs(xs	fs(x	NOUN
ejpam-6749	502	15	)	)	PUNCT
ejpam-6749	502	16	dµs(xs	dµs(x	NOUN
ejpam-6749	502	17	)	)	PUNCT
ejpam-6749	502	18	=	=	SYM
ejpam-6749	502	19	0	0	NUM
ejpam-6749	502	20	for	for	ADP
ejpam-6749	502	21	all	all	DET
ejpam-6749	502	22	non	non	ADJ
ejpam-6749	502	23	-	-	ADJ
ejpam-6749	502	24	empty	empty	ADJ
ejpam-6749	502	25	index	index	NOUN
ejpam-6749	502	26	sets	set	VERB
ejpam-6749	502	27	s	s	VERB
ejpam-6749	502	28	⊆	⊆	NUM
ejpam-6749	502	29	{	{	PUNCT
ejpam-6749	502	30	1	1	NUM
ejpam-6749	502	31	,	,	PUNCT
ejpam-6749	502	32	.	.	PUNCT
ejpam-6749	502	33	.	.	PUNCT
ejpam-6749	503	1	.	.	PUNCT
ejpam-6749	504	1	,	,	PUNCT
ejpam-6749	504	2	k	k	X
ejpam-6749	504	3	}	}	PUNCT
ejpam-6749	504	4	,	,	PUNCT
ejpam-6749	504	5	where	where	SCONJ
ejpam-6749	504	6	ds	ds	ADJ
ejpam-6749	504	7	=	=	SYM
ejpam-6749	504	8	∏	∏	X
ejpam-6749	504	9	i∈s	i∈	NOUN
ejpam-6749	504	10	[	[	X
ejpam-6749	504	11	ai	ai	NOUN
ejpam-6749	504	12	,	,	PUNCT
ejpam-6749	504	13	bi	bi	NOUN
ejpam-6749	504	14	]	]	X
ejpam-6749	504	15	and	and	CCONJ
ejpam-6749	504	16	µs	µs	NOUN
ejpam-6749	504	17	is	be	AUX
ejpam-6749	504	18	the	the	DET
ejpam-6749	504	19	marginal	marginal	ADJ
ejpam-6749	504	20	measure	measure	NOUN
ejpam-6749	504	21	corresponding	correspond	VERB
ejpam-6749	504	22	to	to	ADP
ejpam-6749	504	23	variables	variable	NOUN
ejpam-6749	504	24	in	in	ADP
ejpam-6749	504	25	s.	s.	PROPN
ejpam-6749	504	26	theorem	theorem	VERB
ejpam-6749	504	27	10	10	NUM
ejpam-6749	504	28	.	.	PUNCT
ejpam-6749	505	1	for	for	ADP
ejpam-6749	505	2	any	any	DET
ejpam-6749	505	3	function	function	NOUN
ejpam-6749	505	4	f	f	PROPN
ejpam-6749	505	5	∈	∈	PROPN
ejpam-6749	505	6	l2(d	l2(d	PROPN
ejpam-6749	505	7	,	,	PUNCT
ejpam-6749	505	8	µ	µ	NOUN
ejpam-6749	505	9	)	)	PUNCT
ejpam-6749	505	10	where	where	SCONJ
ejpam-6749	505	11	µ	µ	NOUN
ejpam-6749	505	12	is	be	AUX
ejpam-6749	505	13	a	a	DET
ejpam-6749	505	14	product	product	NOUN
ejpam-6749	505	15	measure	measure	NOUN
ejpam-6749	505	16	corresponding	correspond	VERB
ejpam-6749	505	17	to	to	ADP
ejpam-6749	505	18	independent	independent	ADJ
ejpam-6749	505	19	input	input	NOUN
ejpam-6749	505	20	variables	variable	NOUN
ejpam-6749	505	21	,	,	PUNCT
ejpam-6749	505	22	the	the	DET
ejpam-6749	505	23	sobol	sobol	NOUN
ejpam-6749	505	24	decomposition	decomposition	NOUN
ejpam-6749	505	25	exists	exist	VERB
ejpam-6749	505	26	and	and	CCONJ
ejpam-6749	505	27	is	be	AUX
ejpam-6749	505	28	unique	unique	ADJ
ejpam-6749	505	29	.	.	PUNCT
ejpam-6749	506	1	proof	proof	NOUN
ejpam-6749	506	2	.	.	PUNCT
ejpam-6749	507	1	we	we	PRON
ejpam-6749	507	2	construct	construct	VERB
ejpam-6749	507	3	the	the	DET
ejpam-6749	507	4	decomposition	decomposition	NOUN
ejpam-6749	507	5	using	use	VERB
ejpam-6749	507	6	the	the	DET
ejpam-6749	507	7	recursive	recursive	ADJ
ejpam-6749	507	8	definition	definition	NOUN
ejpam-6749	507	9	based	base	VERB
ejpam-6749	507	10	on	on	ADP
ejpam-6749	507	11	conditional	conditional	ADJ
ejpam-6749	507	12	expectations	expectation	NOUN
ejpam-6749	507	13	,	,	PUNCT
ejpam-6749	507	14	which	which	PRON
ejpam-6749	507	15	provides	provide	VERB
ejpam-6749	507	16	both	both	DET
ejpam-6749	507	17	existence	existence	NOUN
ejpam-6749	507	18	and	and	CCONJ
ejpam-6749	507	19	uniqueness	uniqueness	NOUN
ejpam-6749	507	20	simultaneously	simultaneously	ADV
ejpam-6749	507	21	.	.	PUNCT
ejpam-6749	508	1	the	the	DET
ejpam-6749	508	2	approach	approach	NOUN
ejpam-6749	508	3	utilizes	utilize	VERB
ejpam-6749	508	4	the	the	DET
ejpam-6749	508	5	fundamental	fundamental	ADJ
ejpam-6749	508	6	property	property	NOUN
ejpam-6749	508	7	that	that	PRON
ejpam-6749	508	8	conditional	conditional	ADJ
ejpam-6749	508	9	expectations	expectation	NOUN
ejpam-6749	508	10	define	define	VERB
ejpam-6749	508	11	orthogonal	orthogonal	ADJ
ejpam-6749	508	12	projections	projection	NOUN
ejpam-6749	508	13	in	in	ADP
ejpam-6749	508	14	l2	l2	NOUN
ejpam-6749	508	15	spaces	space	NOUN
ejpam-6749	508	16	,	,	PUNCT
ejpam-6749	508	17	as	as	SCONJ
ejpam-6749	508	18	established	establish	VERB
ejpam-6749	508	19	in	in	ADP
ejpam-6749	508	20	the	the	DET
ejpam-6749	508	21	probability	probability	NOUN
ejpam-6749	508	22	theory	theory	NOUN
ejpam-6749	508	23	literature	literature	NOUN
ejpam-6749	508	24	by	by	ADP
ejpam-6749	508	25	williams	williams	PROPN
ejpam-6749	508	26	[	[	X
ejpam-6749	508	27	68	68	NUM
ejpam-6749	508	28	]	]	PUNCT
ejpam-6749	508	29	.	.	PUNCT
ejpam-6749	509	1	the	the	DET
ejpam-6749	509	2	constant	constant	ADJ
ejpam-6749	509	3	term	term	NOUN
ejpam-6749	509	4	is	be	AUX
ejpam-6749	509	5	defined	define	VERB
ejpam-6749	509	6	as	as	ADP
ejpam-6749	509	7	the	the	DET
ejpam-6749	509	8	unconditional	unconditional	ADJ
ejpam-6749	509	9	expectation	expectation	NOUN
ejpam-6749	509	10	:	:	PUNCT
ejpam-6749	509	11	f0	f0	PROPN
ejpam-6749	509	12	=	=	SYM
ejpam-6749	509	13	e[f(x	e[f(x	NOUN
ejpam-6749	509	14	)	)	PUNCT
ejpam-6749	509	15	]	]	PUNCT
ejpam-6749	510	1	=	=	PUNCT
ejpam-6749	510	2	∫	∫	PROPN
ejpam-6749	510	3	d	d	X
ejpam-6749	510	4	f(x	f(x	PROPN
ejpam-6749	510	5	)	)	PUNCT
ejpam-6749	510	6	dµ(x	dµ(x	PUNCT
ejpam-6749	510	7	)	)	PUNCT
ejpam-6749	510	8	,	,	PUNCT
ejpam-6749	510	9	which	which	PRON
ejpam-6749	510	10	exists	exist	VERB
ejpam-6749	510	11	since	since	SCONJ
ejpam-6749	510	12	f	f	PROPN
ejpam-6749	510	13	∈	∈	PROPN
ejpam-6749	510	14	l2(d	l2(d	PROPN
ejpam-6749	510	15	,	,	PUNCT
ejpam-6749	510	16	µ	µ	NOUN
ejpam-6749	510	17	)	)	PUNCT
ejpam-6749	510	18	⊂	⊂	PROPN
ejpam-6749	510	19	l1(d	l1(d	PROPN
ejpam-6749	510	20	,	,	PUNCT
ejpam-6749	510	21	µ	µ	NOUN
ejpam-6749	510	22	)	)	PUNCT
ejpam-6749	510	23	by	by	ADP
ejpam-6749	510	24	the	the	DET
ejpam-6749	510	25	cauchy	cauchy	PROPN
ejpam-6749	510	26	-	-	PUNCT
ejpam-6749	510	27	schwarz	schwarz	PROPN
ejpam-6749	510	28	inequality	inequality	NOUN
ejpam-6749	510	29	.	.	PUNCT
ejpam-6749	511	1	for	for	ADP
ejpam-6749	511	2	any	any	DET
ejpam-6749	511	3	non	non	ADJ
ejpam-6749	511	4	-	-	ADJ
ejpam-6749	511	5	empty	empty	ADJ
ejpam-6749	511	6	subset	subset	NOUN
ejpam-6749	511	7	s	s	VERB
ejpam-6749	511	8	⊆	⊆	NUM
ejpam-6749	511	9	{	{	PUNCT
ejpam-6749	511	10	1	1	NUM
ejpam-6749	511	11	,	,	PUNCT
ejpam-6749	511	12	.	.	PUNCT
ejpam-6749	511	13	.	.	PUNCT
ejpam-6749	512	1	.	.	PUNCT
ejpam-6749	513	1	,	,	PUNCT
ejpam-6749	513	2	k	k	X
ejpam-6749	513	3	}	}	PUNCT
ejpam-6749	513	4	,	,	PUNCT
ejpam-6749	513	5	we	we	PRON
ejpam-6749	513	6	define	define	VERB
ejpam-6749	513	7	the	the	DET
ejpam-6749	513	8	component	component	NOUN
ejpam-6749	513	9	function	function	NOUN
ejpam-6749	513	10	recursively	recursively	ADV
ejpam-6749	513	11	:	:	PUNCT
ejpam-6749	513	12	fs(xs	fs(x	NOUN
ejpam-6749	513	13	)	)	PUNCT
ejpam-6749	513	14	=	=	SYM
ejpam-6749	513	15	e[f(x)|xs	e[f(x)|x	NOUN
ejpam-6749	513	16	=	=	SYM
ejpam-6749	513	17	xs	xs	PROPN
ejpam-6749	513	18	]	]	PUNCT
ejpam-6749	513	19	−	−	X
ejpam-6749	513	20	∑	∑	PUNCT
ejpam-6749	513	21	t	t	PROPN
ejpam-6749	513	22	⊂s	⊂s	PROPN
ejpam-6749	513	23	ft	ft	PART
ejpam-6749	513	24	(	(	PUNCT
ejpam-6749	513	25	xt	xt	PROPN
ejpam-6749	513	26	)	)	PUNCT
ejpam-6749	513	27	.	.	PUNCT
ejpam-6749	514	1	the	the	DET
ejpam-6749	514	2	conditional	conditional	ADJ
ejpam-6749	514	3	expectation	expectation	NOUN
ejpam-6749	514	4	e[f(x)|xs	e[f(x)|xs	NOUN
ejpam-6749	514	5	=	=	SYM
ejpam-6749	514	6	xs	xs	PROPN
ejpam-6749	514	7	]	]	PUNCT
ejpam-6749	514	8	represents	represent	VERB
ejpam-6749	514	9	the	the	DET
ejpam-6749	514	10	orthogonal	orthogonal	ADJ
ejpam-6749	514	11	projection	projection	NOUN
ejpam-6749	514	12	of	of	ADP
ejpam-6749	514	13	f	f	PROPN
ejpam-6749	514	14	onto	onto	ADP
ejpam-6749	514	15	the	the	DET
ejpam-6749	514	16	subspace	subspace	NOUN
ejpam-6749	514	17	l2(ds	l2(ds	PROPN
ejpam-6749	514	18	,	,	PUNCT
ejpam-6749	514	19	µs	µs	NOUN
ejpam-6749	514	20	)	)	PUNCT
ejpam-6749	514	21	of	of	ADP
ejpam-6749	514	22	functions	function	NOUN
ejpam-6749	514	23	depending	depend	VERB
ejpam-6749	514	24	only	only	ADV
ejpam-6749	514	25	on	on	ADP
ejpam-6749	514	26	variables	variable	NOUN
ejpam-6749	514	27	in	in	ADP
ejpam-6749	514	28	s.	s.	PROPN
ejpam-6749	514	29	this	this	DET
ejpam-6749	514	30	projection	projection	NOUN
ejpam-6749	514	31	is	be	AUX
ejpam-6749	514	32	well	well	ADV
ejpam-6749	514	33	-	-	PUNCT
ejpam-6749	514	34	defined	define	VERB
ejpam-6749	514	35	by	by	ADP
ejpam-6749	514	36	the	the	DET
ejpam-6749	514	37	radon	radon	PROPN
ejpam-6749	514	38	-	-	PUNCT
ejpam-6749	514	39	nikodym	nikodym	PROPN
ejpam-6749	514	40	theorem	theorem	NOUN
ejpam-6749	514	41	(	(	PUNCT
ejpam-6749	514	42	see	see	VERB
ejpam-6749	514	43	rudin	rudin	PROPN
ejpam-6749	515	1	[	[	X
ejpam-6749	515	2	38	38	NUM
ejpam-6749	515	3	]	]	PUNCT
ejpam-6749	515	4	)	)	PUNCT
ejpam-6749	515	5	since	since	SCONJ
ejpam-6749	515	6	the	the	DET
ejpam-6749	515	7	marginal	marginal	ADJ
ejpam-6749	515	8	measures	measure	NOUN
ejpam-6749	515	9	are	be	AUX
ejpam-6749	515	10	absolutely	absolutely	ADV
ejpam-6749	515	11	continuous	continuous	ADJ
ejpam-6749	515	12	with	with	ADP
ejpam-6749	515	13	respect	respect	NOUN
ejpam-6749	515	14	to	to	ADP
ejpam-6749	515	15	the	the	DET
ejpam-6749	515	16	product	product	NOUN
ejpam-6749	515	17	measure	measure	NOUN
ejpam-6749	515	18	.	.	PUNCT
ejpam-6749	516	1	the	the	DET
ejpam-6749	516	2	recursive	recursive	ADJ
ejpam-6749	516	3	construction	construction	NOUN
ejpam-6749	516	4	ensures	ensure	VERB
ejpam-6749	516	5	orthogonality	orthogonality	NOUN
ejpam-6749	516	6	by	by	ADP
ejpam-6749	516	7	design	design	NOUN
ejpam-6749	516	8	.	.	PUNCT
ejpam-6749	517	1	each	each	DET
ejpam-6749	517	2	step	step	NOUN
ejpam-6749	517	3	subtracts	subtract	VERB
ejpam-6749	517	4	all	all	DET
ejpam-6749	517	5	lower	low	ADJ
ejpam-6749	517	6	-	-	PUNCT
ejpam-6749	517	7	order	order	NOUN
ejpam-6749	517	8	components	component	NOUN
ejpam-6749	517	9	that	that	PRON
ejpam-6749	517	10	have	have	AUX
ejpam-6749	517	11	already	already	ADV
ejpam-6749	517	12	been	be	AUX
ejpam-6749	517	13	defined	define	VERB
ejpam-6749	517	14	,	,	PUNCT
ejpam-6749	517	15	eliminating	eliminate	VERB
ejpam-6749	517	16	correlations	correlation	NOUN
ejpam-6749	517	17	with	with	ADP
ejpam-6749	517	18	previously	previously	ADV
ejpam-6749	517	19	constructed	construct	VERB
ejpam-6749	517	20	terms	term	NOUN
ejpam-6749	517	21	.	.	PUNCT
ejpam-6749	518	1	this	this	DET
ejpam-6749	518	2	process	process	NOUN
ejpam-6749	518	3	follows	follow	VERB
ejpam-6749	518	4	the	the	DET
ejpam-6749	518	5	gram	gram	NOUN
ejpam-6749	518	6	-	-	PUNCT
ejpam-6749	518	7	schmidt	schmidt	NOUN
ejpam-6749	518	8	orthogonalization	orthogonalization	NOUN
ejpam-6749	518	9	procedure	procedure	NOUN
ejpam-6749	518	10	adapted	adapt	VERB
ejpam-6749	518	11	to	to	PART
ejpam-6749	518	12	function	function	VERB
ejpam-6749	518	13	spaces	space	NOUN
ejpam-6749	518	14	(	(	PUNCT
ejpam-6749	518	15	see	see	VERB
ejpam-6749	518	16	riesz	riesz	NOUN
ejpam-6749	518	17	and	and	CCONJ
ejpam-6749	518	18	sz.-nagy	sz.-nagy	VERB
ejpam-6749	518	19	[	[	X
ejpam-6749	518	20	69	69	NUM
ejpam-6749	518	21	]	]	SYM
ejpam-6749	518	22	)	)	PUNCT
ejpam-6749	518	23	.	.	PUNCT
ejpam-6749	519	1	m.	m.	NOUN
ejpam-6749	519	2	zorom	zorom	INTJ
ejpam-6749	519	3	et	et	PROPN
ejpam-6749	519	4	al	al	PROPN
ejpam-6749	519	5	.	.	PUNCT
ejpam-6749	519	6	/	/	SYM
ejpam-6749	519	7	eur	eur	PROPN
ejpam-6749	519	8	.	.	PUNCT
ejpam-6749	520	1	j.	j.	PROPN
ejpam-6749	520	2	pure	pure	PROPN
ejpam-6749	520	3	appl	appl	PROPN
ejpam-6749	520	4	.	.	PROPN
ejpam-6749	520	5	math	math	PROPN
ejpam-6749	520	6	,	,	PUNCT
ejpam-6749	520	7	18	18	NUM
ejpam-6749	520	8	(	(	PUNCT
ejpam-6749	520	9	4	4	NUM
ejpam-6749	520	10	)	)	PUNCT
ejpam-6749	520	11	(	(	PUNCT
ejpam-6749	520	12	2025	2025	NUM
ejpam-6749	520	13	)	)	PUNCT
ejpam-6749	520	14	,	,	PUNCT
ejpam-6749	520	15	6749	6749	NUM
ejpam-6749	520	16	24	24	NUM
ejpam-6749	520	17	of	of	ADP
ejpam-6749	520	18	47	47	NUM
ejpam-6749	520	19	existence	existence	NOUN
ejpam-6749	520	20	is	be	AUX
ejpam-6749	520	21	established	establish	VERB
ejpam-6749	520	22	by	by	ADP
ejpam-6749	520	23	the	the	DET
ejpam-6749	520	24	recursive	recursive	ADJ
ejpam-6749	520	25	construction	construction	NOUN
ejpam-6749	520	26	,	,	PUNCT
ejpam-6749	520	27	which	which	PRON
ejpam-6749	520	28	terminates	terminate	VERB
ejpam-6749	520	29	after	after	ADP
ejpam-6749	520	30	finitely	finitely	ADV
ejpam-6749	520	31	many	many	ADJ
ejpam-6749	520	32	steps	step	NOUN
ejpam-6749	520	33	since	since	SCONJ
ejpam-6749	520	34	s	s	PRON
ejpam-6749	520	35	ranges	range	NOUN
ejpam-6749	520	36	over	over	ADP
ejpam-6749	520	37	all	all	DET
ejpam-6749	520	38	subsets	subset	NOUN
ejpam-6749	520	39	of	of	ADP
ejpam-6749	520	40	the	the	DET
ejpam-6749	520	41	finite	finite	ADJ
ejpam-6749	520	42	index	index	NOUN
ejpam-6749	520	43	set	set	NOUN
ejpam-6749	520	44	{	{	PUNCT
ejpam-6749	520	45	1	1	NUM
ejpam-6749	520	46	,	,	PUNCT
ejpam-6749	520	47	.	.	PUNCT
ejpam-6749	520	48	.	.	PUNCT
ejpam-6749	520	49	.	.	PUNCT
ejpam-6749	521	1	,	,	PUNCT
ejpam-6749	521	2	k	k	X
ejpam-6749	521	3	}	}	PUNCT
ejpam-6749	521	4	.	.	PUNCT
ejpam-6749	522	1	each	each	DET
ejpam-6749	522	2	conditional	conditional	ADJ
ejpam-6749	522	3	expectation	expectation	NOUN
ejpam-6749	522	4	in	in	ADP
ejpam-6749	522	5	the	the	DET
ejpam-6749	522	6	construction	construction	NOUN
ejpam-6749	522	7	exists	exist	VERB
ejpam-6749	522	8	as	as	ADP
ejpam-6749	522	9	an	an	DET
ejpam-6749	522	10	element	element	NOUN
ejpam-6749	522	11	of	of	ADP
ejpam-6749	522	12	l2(ds	l2(ds	PROPN
ejpam-6749	522	13	,	,	PUNCT
ejpam-6749	522	14	µs	µs	PROPN
ejpam-6749	522	15	)	)	PUNCT
ejpam-6749	522	16	by	by	ADP
ejpam-6749	522	17	standard	standard	ADJ
ejpam-6749	522	18	results	result	NOUN
ejpam-6749	522	19	in	in	ADP
ejpam-6749	522	20	measure	measure	NOUN
ejpam-6749	522	21	theory	theory	NOUN
ejpam-6749	522	22	(	(	PUNCT
ejpam-6749	522	23	see	see	VERB
ejpam-6749	522	24	halmos	halmos	NOUN
ejpam-6749	522	25	[	[	X
ejpam-6749	522	26	70	70	NUM
ejpam-6749	522	27	]	]	PUNCT
ejpam-6749	522	28	)	)	PUNCT
ejpam-6749	522	29	.	.	PUNCT
ejpam-6749	523	1	for	for	ADP
ejpam-6749	523	2	uniqueness	uniqueness	NOUN
ejpam-6749	523	3	,	,	PUNCT
ejpam-6749	523	4	suppose	suppose	VERB
ejpam-6749	523	5	there	there	PRON
ejpam-6749	523	6	exist	exist	VERB
ejpam-6749	523	7	two	two	NUM
ejpam-6749	523	8	decompositions	decomposition	NOUN
ejpam-6749	523	9	f	f	NOUN
ejpam-6749	523	10	=	=	PUNCT
ejpam-6749	523	11	∑	∑	PART
ejpam-6749	523	12	s	s	PART
ejpam-6749	523	13	fs	fs	X
ejpam-6749	523	14	and	and	CCONJ
ejpam-6749	523	15	f	f	PROPN
ejpam-6749	524	1	=	=	PUNCT
ejpam-6749	524	2	∑	∑	PUNCT
ejpam-6749	524	3	s	s	AUX
ejpam-6749	524	4	gs	gs	X
ejpam-6749	524	5	both	both	CCONJ
ejpam-6749	524	6	satisfying	satisfy	VERB
ejpam-6749	524	7	the	the	DET
ejpam-6749	524	8	orthogonality	orthogonality	NOUN
ejpam-6749	524	9	conditions	condition	NOUN
ejpam-6749	524	10	.	.	PUNCT
ejpam-6749	525	1	then	then	ADV
ejpam-6749	525	2	:	:	PUNCT
ejpam-6749	525	3	∑	∑	PROPN
ejpam-6749	525	4	s	s	X
ejpam-6749	525	5	(	(	PUNCT
ejpam-6749	525	6	fs	fs	INTJ
ejpam-6749	525	7	−	−	PROPN
ejpam-6749	525	8	gs	gs	NOUN
ejpam-6749	525	9	)	)	PUNCT
ejpam-6749	525	10	=	=	SYM
ejpam-6749	525	11	0	0	NUM
ejpam-6749	526	1	almost	almost	ADV
ejpam-6749	526	2	everywhere	everywhere	ADV
ejpam-6749	526	3	with	with	ADP
ejpam-6749	526	4	respect	respect	NOUN
ejpam-6749	526	5	to	to	ADP
ejpam-6749	526	6	µ.	µ.	NOUN
ejpam-6749	526	7	taking	take	VERB
ejpam-6749	526	8	the	the	DET
ejpam-6749	526	9	conditional	conditional	ADJ
ejpam-6749	526	10	expectation	expectation	NOUN
ejpam-6749	526	11	with	with	ADP
ejpam-6749	526	12	respect	respect	NOUN
ejpam-6749	526	13	to	to	ADP
ejpam-6749	526	14	xt	xt	PROPN
ejpam-6749	526	15	for	for	ADP
ejpam-6749	526	16	any	any	DET
ejpam-6749	526	17	fixed	fix	VERB
ejpam-6749	526	18	subset	subset	NOUN
ejpam-6749	526	19	t	t	NOUN
ejpam-6749	526	20	and	and	CCONJ
ejpam-6749	526	21	utilizing	utilize	VERB
ejpam-6749	526	22	the	the	DET
ejpam-6749	526	23	orthogonality	orthogonality	NOUN
ejpam-6749	526	24	properties	property	NOUN
ejpam-6749	526	25	systematically	systematically	ADV
ejpam-6749	526	26	,	,	PUNCT
ejpam-6749	526	27	we	we	PRON
ejpam-6749	526	28	obtain	obtain	VERB
ejpam-6749	526	29	:	:	PUNCT
ejpam-6749	526	30	e	e	X
ejpam-6749	527	1	[	[	X
ejpam-6749	527	2	∑	∑	X
ejpam-6749	527	3	s	s	X
ejpam-6749	527	4	(	(	PUNCT
ejpam-6749	527	5	fs	fs	INTJ
ejpam-6749	527	6	−	−	PROPN
ejpam-6749	527	7	gs	gs	NOUN
ejpam-6749	527	8	)	)	PUNCT
ejpam-6749	527	9	∣∣∣∣xt	∣∣∣∣xt	PROPN
ejpam-6749	527	10	]	]	X
ejpam-6749	527	11	=	=	PUNCT
ejpam-6749	527	12	ft	ft	PROPN
ejpam-6749	527	13	−	−	PROPN
ejpam-6749	527	14	gt	gt	PROPN
ejpam-6749	527	15	=	=	SYM
ejpam-6749	527	16	0	0	NUM
ejpam-6749	527	17	almost	almost	ADV
ejpam-6749	527	18	everywhere	everywhere	ADV
ejpam-6749	527	19	.	.	PUNCT
ejpam-6749	528	1	since	since	SCONJ
ejpam-6749	528	2	this	this	PRON
ejpam-6749	528	3	holds	hold	VERB
ejpam-6749	528	4	for	for	ADP
ejpam-6749	528	5	every	every	DET
ejpam-6749	528	6	subset	subset	NOUN
ejpam-6749	528	7	t	t	NOUN
ejpam-6749	528	8	,	,	PUNCT
ejpam-6749	528	9	the	the	DET
ejpam-6749	528	10	decomposition	decomposition	NOUN
ejpam-6749	528	11	is	be	AUX
ejpam-6749	528	12	unique	unique	ADJ
ejpam-6749	528	13	.	.	PUNCT
ejpam-6749	529	1	the	the	DET
ejpam-6749	529	2	preservation	preservation	NOUN
ejpam-6749	529	3	of	of	ADP
ejpam-6749	529	4	square	square	ADJ
ejpam-6749	529	5	-	-	PUNCT
ejpam-6749	529	6	integrability	integrability	NOUN
ejpam-6749	529	7	follows	follow	VERB
ejpam-6749	529	8	from	from	ADP
ejpam-6749	529	9	the	the	DET
ejpam-6749	529	10	orthogonality	orthogonality	NOUN
ejpam-6749	529	11	relationships	relationship	NOUN
ejpam-6749	529	12	and	and	CCONJ
ejpam-6749	529	13	parseval	parseval	NOUN
ejpam-6749	529	14	’s	’s	PART
ejpam-6749	529	15	identity	identity	NOUN
ejpam-6749	529	16	.	.	PUNCT
ejpam-6749	530	1	since	since	SCONJ
ejpam-6749	530	2	the	the	DET
ejpam-6749	530	3	functions	function	NOUN
ejpam-6749	530	4	are	be	AUX
ejpam-6749	530	5	orthogonal	orthogonal	ADJ
ejpam-6749	530	6	in	in	ADP
ejpam-6749	530	7	l2(d	l2(d	PROPN
ejpam-6749	530	8	,	,	PUNCT
ejpam-6749	530	9	µ	µ	NUM
ejpam-6749	530	10	):	):	PUNCT
ejpam-6749	530	11	∥f∥2l2	∥f∥2l2	PROPN
ejpam-6749	530	12	=	=	SYM
ejpam-6749	530	13	∑	∑	PUNCT
ejpam-6749	530	14	s	s	PART
ejpam-6749	530	15	∥fs∥2l2	∥fs∥2l2	X
ejpam-6749	530	16	<	<	X
ejpam-6749	530	17	∞	∞	PROPN
ejpam-6749	530	18	,	,	PUNCT
ejpam-6749	530	19	ensuring	ensure	VERB
ejpam-6749	530	20	that	that	SCONJ
ejpam-6749	530	21	each	each	DET
ejpam-6749	530	22	component	component	NOUN
ejpam-6749	530	23	fs	f	NOUN
ejpam-6749	530	24	belongs	belong	VERB
ejpam-6749	530	25	to	to	ADP
ejpam-6749	530	26	the	the	DET
ejpam-6749	530	27	appropriate	appropriate	ADJ
ejpam-6749	530	28	l2	l2	NOUN
ejpam-6749	530	29	space	space	NOUN
ejpam-6749	530	30	.	.	PUNCT
ejpam-6749	531	1	theorem	theorem	VERB
ejpam-6749	531	2	11	11	NUM
ejpam-6749	531	3	.	.	PUNCT
ejpam-6749	532	1	under	under	ADP
ejpam-6749	532	2	the	the	DET
ejpam-6749	532	3	conditions	condition	NOUN
ejpam-6749	532	4	of	of	ADP
ejpam-6749	532	5	the	the	DET
ejpam-6749	532	6	sobol	sobol	NOUN
ejpam-6749	532	7	decomposition	decomposition	NOUN
ejpam-6749	532	8	established	establish	VERB
ejpam-6749	532	9	in	in	ADP
ejpam-6749	532	10	10	10	NUM
ejpam-6749	532	11	,	,	PUNCT
ejpam-6749	532	12	the	the	DET
ejpam-6749	532	13	total	total	ADJ
ejpam-6749	532	14	variance	variance	NOUN
ejpam-6749	532	15	admits	admit	VERB
ejpam-6749	532	16	the	the	DET
ejpam-6749	532	17	complete	complete	ADJ
ejpam-6749	532	18	orthogonal	orthogonal	ADJ
ejpam-6749	532	19	decomposition	decomposition	NOUN
ejpam-6749	532	20	var[f(x	var[f(x	NOUN
ejpam-6749	532	21	)	)	PUNCT
ejpam-6749	532	22	]	]	PUNCT
ejpam-6749	533	1	=	=	PUNCT
ejpam-6749	533	2	∑	∑	PUNCT
ejpam-6749	533	3	∅≠s⊆{1,	∅≠s⊆{1,	PROPN
ejpam-6749	533	4	...	...	PUNCT
ejpam-6749	533	5	,k	,k	PUNCT
ejpam-6749	533	6	}	}	PUNCT
ejpam-6749	533	7	vs	vs	ADP
ejpam-6749	533	8	,	,	PUNCT
ejpam-6749	533	9	where	where	SCONJ
ejpam-6749	533	10	vs	vs	ADP
ejpam-6749	533	11	=	=	NOUN
ejpam-6749	533	12	var[fs(xs	var[fs(xs	PROPN
ejpam-6749	533	13	)	)	PUNCT
ejpam-6749	533	14	]	]	PUNCT
ejpam-6749	533	15	=	=	PUNCT
ejpam-6749	533	16	e[f2	e[f2	NOUN
ejpam-6749	533	17	s(xs	s(xs	PROPN
ejpam-6749	533	18	)	)	PUNCT
ejpam-6749	533	19	]	]	PUNCT
ejpam-6749	533	20	since	since	SCONJ
ejpam-6749	533	21	e[fs(xs	e[fs(x	NOUN
ejpam-6749	533	22	)	)	PUNCT
ejpam-6749	533	23	]	]	PUNCT
ejpam-6749	534	1	=	=	PUNCT
ejpam-6749	534	2	0	0	NUM
ejpam-6749	534	3	for	for	ADP
ejpam-6749	534	4	all	all	DET
ejpam-6749	534	5	non	non	ADJ
ejpam-6749	534	6	-	-	ADJ
ejpam-6749	534	7	empty	empty	ADJ
ejpam-6749	534	8	subsets	subset	NOUN
ejpam-6749	534	9	s.	s.	PROPN
ejpam-6749	534	10	proof	proof	PROPN
ejpam-6749	534	11	.	.	PUNCT
ejpam-6749	535	1	the	the	DET
ejpam-6749	535	2	proof	proof	NOUN
ejpam-6749	535	3	utilizes	utilize	VERB
ejpam-6749	535	4	the	the	DET
ejpam-6749	535	5	orthogonality	orthogonality	NOUN
ejpam-6749	535	6	structure	structure	NOUN
ejpam-6749	535	7	of	of	ADP
ejpam-6749	535	8	the	the	DET
ejpam-6749	535	9	sobol	sobol	NOUN
ejpam-6749	535	10	decomposition	decomposition	NOUN
ejpam-6749	535	11	and	and	CCONJ
ejpam-6749	535	12	fundamental	fundamental	ADJ
ejpam-6749	535	13	properties	property	NOUN
ejpam-6749	535	14	of	of	ADP
ejpam-6749	535	15	variance	variance	NOUN
ejpam-6749	535	16	operators	operator	NOUN
ejpam-6749	535	17	in	in	ADP
ejpam-6749	535	18	probability	probability	NOUN
ejpam-6749	535	19	theory	theory	NOUN
ejpam-6749	535	20	,	,	PUNCT
ejpam-6749	535	21	following	follow	VERB
ejpam-6749	535	22	the	the	DET
ejpam-6749	535	23	comprehensive	comprehensive	ADJ
ejpam-6749	535	24	development	development	NOUN
ejpam-6749	535	25	by	by	ADP
ejpam-6749	535	26	feller	feller	NOUN
ejpam-6749	535	27	[	[	X
ejpam-6749	535	28	71	71	NUM
ejpam-6749	535	29	]	]	PUNCT
ejpam-6749	535	30	and	and	CCONJ
ejpam-6749	535	31	specialized	specialized	ADJ
ejpam-6749	535	32	techniques	technique	NOUN
ejpam-6749	535	33	from	from	ADP
ejpam-6749	535	34	cramér	cramér	NOUN
ejpam-6749	535	35	[	[	X
ejpam-6749	535	36	72	72	NUM
ejpam-6749	535	37	]	]	PUNCT
ejpam-6749	535	38	.	.	PUNCT
ejpam-6749	536	1	we	we	PRON
ejpam-6749	536	2	begin	begin	VERB
ejpam-6749	536	3	with	with	ADP
ejpam-6749	536	4	the	the	DET
ejpam-6749	536	5	fundamental	fundamental	ADJ
ejpam-6749	536	6	variance	variance	NOUN
ejpam-6749	536	7	identity	identity	NOUN
ejpam-6749	536	8	from	from	ADP
ejpam-6749	536	9	probability	probability	NOUN
ejpam-6749	536	10	theory	theory	NOUN
ejpam-6749	536	11	:	:	PUNCT
ejpam-6749	536	12	var[f(x	var[f(x	NOUN
ejpam-6749	536	13	)	)	PUNCT
ejpam-6749	536	14	]	]	PUNCT
ejpam-6749	537	1	=	=	PUNCT
ejpam-6749	537	2	e[f2(x)]−	e[f2(x)]−	X
ejpam-6749	537	3	e2[f(x	e2[f(x	PROPN
ejpam-6749	537	4	)	)	PUNCT
ejpam-6749	537	5	]	]	PUNCT
ejpam-6749	538	1	=	=	PUNCT
ejpam-6749	538	2	e[f2(x)]−	e[f2(x)]−	X
ejpam-6749	538	3	f2	f2	PROPN
ejpam-6749	538	4	0	0	NUM
ejpam-6749	538	5	.	.	PUNCT
ejpam-6749	539	1	to	to	PART
ejpam-6749	539	2	evaluate	evaluate	VERB
ejpam-6749	539	3	e[f2(x	e[f2(x	NOUN
ejpam-6749	539	4	)	)	PUNCT
ejpam-6749	539	5	]	]	PUNCT
ejpam-6749	539	6	,	,	PUNCT
ejpam-6749	539	7	we	we	PRON
ejpam-6749	539	8	expand	expand	VERB
ejpam-6749	539	9	the	the	DET
ejpam-6749	539	10	square	square	NOUN
ejpam-6749	539	11	of	of	ADP
ejpam-6749	539	12	the	the	DET
ejpam-6749	539	13	sobol	sobol	NOUN
ejpam-6749	539	14	decomposition	decomposition	NOUN
ejpam-6749	539	15	:	:	PUNCT
ejpam-6749	539	16	f2(x	f2(x	X
ejpam-6749	539	17	)	)	PUNCT
ejpam-6749	539	18	=	=	SYM
ejpam-6749	539	19			VERB
ejpam-6749	539	20			NOUN
ejpam-6749	539	21	∑	∑	PUNCT
ejpam-6749	539	22	s⊆{1,	s⊆{1,	PROPN
ejpam-6749	539	23	...	...	PUNCT
ejpam-6749	539	24	,k	,k	ADJ
ejpam-6749	539	25	}	}	PUNCT
ejpam-6749	539	26	fs(xs	fs(x	NOUN
ejpam-6749	539	27	)	)	PUNCT
ejpam-6749	539	28			NOUN
ejpam-6749	539	29			X
ejpam-6749	540	1	2	2	X
ejpam-6749	540	2	.	.	PUNCT
ejpam-6749	540	3	m.	m.	NOUN
ejpam-6749	540	4	zorom	zorom	NOUN
ejpam-6749	540	5	et	et	PROPN
ejpam-6749	540	6	al	al	PROPN
ejpam-6749	540	7	.	.	PUNCT
ejpam-6749	540	8	/	/	SYM
ejpam-6749	540	9	eur	eur	PROPN
ejpam-6749	540	10	.	.	PUNCT
ejpam-6749	541	1	j.	j.	PROPN
ejpam-6749	541	2	pure	pure	PROPN
ejpam-6749	541	3	appl	appl	PROPN
ejpam-6749	541	4	.	.	PROPN
ejpam-6749	541	5	math	math	PROPN
ejpam-6749	541	6	,	,	PUNCT
ejpam-6749	541	7	18	18	NUM
ejpam-6749	541	8	(	(	PUNCT
ejpam-6749	541	9	4	4	NUM
ejpam-6749	541	10	)	)	PUNCT
ejpam-6749	541	11	(	(	PUNCT
ejpam-6749	541	12	2025	2025	NUM
ejpam-6749	541	13	)	)	PUNCT
ejpam-6749	541	14	,	,	PUNCT
ejpam-6749	541	15	6749	6749	NUM
ejpam-6749	541	16	25	25	NUM
ejpam-6749	541	17	of	of	ADP
ejpam-6749	541	18	47	47	NUM
ejpam-6749	541	19	using	use	VERB
ejpam-6749	541	20	the	the	DET
ejpam-6749	541	21	multinomial	multinomial	ADJ
ejpam-6749	541	22	expansion	expansion	NOUN
ejpam-6749	541	23	(	(	PUNCT
ejpam-6749	541	24	see	see	VERB
ejpam-6749	541	25	lang	lang	PROPN
ejpam-6749	542	1	[	[	X
ejpam-6749	542	2	40	40	NUM
ejpam-6749	542	3	]	]	PUNCT
ejpam-6749	542	4	):	):	PUNCT
ejpam-6749	542	5	f2(x	f2(x	PROPN
ejpam-6749	542	6	)	)	PUNCT
ejpam-6749	542	7	=	=	SYM
ejpam-6749	542	8	∑	∑	PUNCT
ejpam-6749	542	9	s⊆{1,	s⊆{1,	PROPN
ejpam-6749	542	10	...	...	PUNCT
ejpam-6749	542	11	,k	,k	PUNCT
ejpam-6749	542	12	}	}	PUNCT
ejpam-6749	542	13	f2	f2	PRON
ejpam-6749	542	14	s(xs	s(xs	NOUN
ejpam-6749	542	15	)	)	PUNCT
ejpam-6749	542	16	+	+	CCONJ
ejpam-6749	542	17	2	2	NUM
ejpam-6749	542	18	∑	∑	ADP
ejpam-6749	542	19	s̸=t	s̸=t	NOUN
ejpam-6749	542	20	fs(xs)ft	fs(xs)ft	PROPN
ejpam-6749	542	21	(	(	PUNCT
ejpam-6749	542	22	xt	xt	PROPN
ejpam-6749	542	23	)	)	PUNCT
ejpam-6749	542	24	.	.	PUNCT
ejpam-6749	543	1	taking	take	VERB
ejpam-6749	543	2	expectations	expectation	NOUN
ejpam-6749	543	3	and	and	CCONJ
ejpam-6749	543	4	utilizing	utilize	VERB
ejpam-6749	543	5	the	the	DET
ejpam-6749	543	6	linearity	linearity	NOUN
ejpam-6749	543	7	of	of	ADP
ejpam-6749	543	8	expectation	expectation	NOUN
ejpam-6749	543	9	:	:	PUNCT
ejpam-6749	543	10	e[f2(x	e[f2(x	X
ejpam-6749	543	11	)	)	PUNCT
ejpam-6749	543	12	]	]	PUNCT
ejpam-6749	544	1	=	=	PUNCT
ejpam-6749	544	2	∑	∑	PUNCT
ejpam-6749	544	3	s⊆{1,	s⊆{1,	PROPN
ejpam-6749	544	4	...	...	PUNCT
ejpam-6749	544	5	,k	,k	PUNCT
ejpam-6749	544	6	}	}	PUNCT
ejpam-6749	544	7	e[f2	e[f2	NOUN
ejpam-6749	544	8	s(xs	s(xs	NOUN
ejpam-6749	544	9	)	)	PUNCT
ejpam-6749	544	10	]	]	PUNCT
ejpam-6749	545	1	+	+	CCONJ
ejpam-6749	545	2	2	2	NUM
ejpam-6749	545	3	∑	∑	ADP
ejpam-6749	545	4	s̸=t	s̸=t	PROPN
ejpam-6749	545	5	e[fs(xs)ft	e[fs(xs)ft	PROPN
ejpam-6749	545	6	(	(	PUNCT
ejpam-6749	545	7	xt	xt	PROPN
ejpam-6749	545	8	)	)	PUNCT
ejpam-6749	545	9	]	]	PUNCT
ejpam-6749	545	10	.	.	PUNCT
ejpam-6749	546	1	the	the	DET
ejpam-6749	546	2	critical	critical	ADJ
ejpam-6749	546	3	step	step	NOUN
ejpam-6749	546	4	is	be	AUX
ejpam-6749	546	5	establishing	establish	VERB
ejpam-6749	546	6	that	that	SCONJ
ejpam-6749	546	7	all	all	DET
ejpam-6749	546	8	cross	cross	NOUN
ejpam-6749	546	9	terms	term	NOUN
ejpam-6749	546	10	vanish	vanish	VERB
ejpam-6749	546	11	due	due	ADP
ejpam-6749	546	12	to	to	ADP
ejpam-6749	546	13	orthogonality	orthogonality	NOUN
ejpam-6749	546	14	.	.	PUNCT
ejpam-6749	547	1	for	for	ADP
ejpam-6749	547	2	distinct	distinct	ADJ
ejpam-6749	547	3	subsets	subset	NOUN
ejpam-6749	547	4	s	s	PART
ejpam-6749	547	5	=	=	SYM
ejpam-6749	547	6	̸	̸	X
ejpam-6749	547	7	t	t	NOUN
ejpam-6749	547	8	,	,	PUNCT
ejpam-6749	547	9	we	we	PRON
ejpam-6749	547	10	must	must	AUX
ejpam-6749	547	11	show	show	VERB
ejpam-6749	547	12	:	:	PUNCT
ejpam-6749	547	13	e[fs(xs)ft	e[fs(xs)ft	PROPN
ejpam-6749	547	14	(	(	PUNCT
ejpam-6749	547	15	xt	xt	PROPN
ejpam-6749	547	16	)	)	PUNCT
ejpam-6749	547	17	]	]	PUNCT
ejpam-6749	548	1	=	=	PUNCT
ejpam-6749	548	2	0	0	X
ejpam-6749	548	3	.	.	PUNCT
ejpam-6749	549	1	we	we	PRON
ejpam-6749	549	2	consider	consider	VERB
ejpam-6749	549	3	two	two	NUM
ejpam-6749	549	4	cases	case	NOUN
ejpam-6749	549	5	systematically	systematically	ADV
ejpam-6749	549	6	,	,	PUNCT
ejpam-6749	549	7	following	follow	VERB
ejpam-6749	549	8	the	the	DET
ejpam-6749	549	9	approach	approach	NOUN
ejpam-6749	549	10	developed	develop	VERB
ejpam-6749	549	11	by	by	ADP
ejpam-6749	549	12	hoeffding	hoeffde	VERB
ejpam-6749	549	13	[	[	X
ejpam-6749	549	14	73	73	NUM
ejpam-6749	549	15	]	]	PUNCT
ejpam-6749	549	16	for	for	ADP
ejpam-6749	549	17	u	u	PROPN
ejpam-6749	549	18	-statistics	-statistic	NOUN
ejpam-6749	549	19	.	.	PUNCT
ejpam-6749	550	1	case	case	NOUN
ejpam-6749	550	2	1	1	NUM
ejpam-6749	550	3	:	:	PUNCT
ejpam-6749	550	4	s∩t	s∩t	PROPN
ejpam-6749	550	5	=	=	SYM
ejpam-6749	550	6	∅	∅	NOUN
ejpam-6749	550	7	(	(	PUNCT
ejpam-6749	550	8	disjoint	disjoint	NOUN
ejpam-6749	550	9	subsets	subset	NOUN
ejpam-6749	550	10	)	)	PUNCT
ejpam-6749	550	11	.	.	PUNCT
ejpam-6749	551	1	by	by	ADP
ejpam-6749	551	2	independence	independence	NOUN
ejpam-6749	551	3	of	of	ADP
ejpam-6749	551	4	the	the	DET
ejpam-6749	551	5	input	input	NOUN
ejpam-6749	551	6	variables	variable	NOUN
ejpam-6749	551	7	in	in	ADP
ejpam-6749	551	8	disjoint	disjoint	ADJ
ejpam-6749	551	9	subsets	subset	NOUN
ejpam-6749	551	10	:	:	PUNCT
ejpam-6749	551	11	e[fs(xs)ft	e[fs(xs)ft	PROPN
ejpam-6749	551	12	(	(	PUNCT
ejpam-6749	551	13	xt	xt	PROPN
ejpam-6749	551	14	)	)	PUNCT
ejpam-6749	551	15	]	]	PUNCT
ejpam-6749	552	1	=	=	PUNCT
ejpam-6749	552	2	e[fs(xs)]e[ft	e[fs(xs)]e[ft	NOUN
ejpam-6749	552	3	(	(	PUNCT
ejpam-6749	552	4	xt	xt	NUM
ejpam-6749	552	5	)	)	PUNCT
ejpam-6749	552	6	]	]	PUNCT
ejpam-6749	553	1	=	=	PUNCT
ejpam-6749	553	2	0	0	X
ejpam-6749	553	3	·	·	PUNCT
ejpam-6749	553	4	0	0	NUM
ejpam-6749	554	1	=	=	SYM
ejpam-6749	554	2	0	0	NUM
ejpam-6749	554	3	,	,	PUNCT
ejpam-6749	554	4	where	where	SCONJ
ejpam-6749	554	5	the	the	DET
ejpam-6749	554	6	individual	individual	ADJ
ejpam-6749	554	7	expectations	expectation	NOUN
ejpam-6749	554	8	are	be	AUX
ejpam-6749	554	9	zero	zero	NUM
ejpam-6749	554	10	by	by	ADP
ejpam-6749	554	11	the	the	DET
ejpam-6749	554	12	orthogonality	orthogonality	NOUN
ejpam-6749	554	13	conditions	condition	NOUN
ejpam-6749	554	14	in	in	ADP
ejpam-6749	554	15	the	the	DET
ejpam-6749	554	16	sobol	sobol	NOUN
ejpam-6749	554	17	decomposition	decomposition	NOUN
ejpam-6749	554	18	.	.	PUNCT
ejpam-6749	555	1	case	case	NOUN
ejpam-6749	555	2	2	2	NUM
ejpam-6749	555	3	:	:	PUNCT
ejpam-6749	555	4	s	s	VERB
ejpam-6749	555	5	∩	∩	ADJ
ejpam-6749	555	6	t	t	NOUN
ejpam-6749	555	7	=	=	SYM
ejpam-6749	555	8	̸	̸	ADJ
ejpam-6749	555	9	∅	∅	NOUN
ejpam-6749	555	10	but	but	CCONJ
ejpam-6749	555	11	s	s	VERB
ejpam-6749	555	12	̸=	̸=	PROPN
ejpam-6749	555	13	t	t	PROPN
ejpam-6749	555	14	(	(	PUNCT
ejpam-6749	555	15	overlapping	overlap	VERB
ejpam-6749	555	16	but	but	CCONJ
ejpam-6749	555	17	distinct	distinct	ADJ
ejpam-6749	555	18	subsets	subset	NOUN
ejpam-6749	555	19	)	)	PUNCT
ejpam-6749	555	20	.	.	PUNCT
ejpam-6749	556	1	without	without	ADP
ejpam-6749	556	2	loss	loss	NOUN
ejpam-6749	556	3	of	of	ADP
ejpam-6749	556	4	generality	generality	NOUN
ejpam-6749	556	5	,	,	PUNCT
ejpam-6749	556	6	assume	assume	VERB
ejpam-6749	556	7	there	there	PRON
ejpam-6749	556	8	exists	exist	VERB
ejpam-6749	556	9	an	an	DET
ejpam-6749	556	10	index	index	NOUN
ejpam-6749	556	11	i	i	PRON
ejpam-6749	556	12	∈	∈	PROPN
ejpam-6749	556	13	s	s	VERB
ejpam-6749	556	14	such	such	ADJ
ejpam-6749	556	15	that	that	SCONJ
ejpam-6749	556	16	i	i	PRON
ejpam-6749	556	17	/∈	/∈	PUNCT
ejpam-6749	557	1	t	t	PROPN
ejpam-6749	557	2	.	.	PUNCT
ejpam-6749	558	1	then	then	ADV
ejpam-6749	558	2	:	:	PUNCT
ejpam-6749	558	3	e[fs(xs)ft	e[fs(xs)ft	PROPN
ejpam-6749	558	4	(	(	PUNCT
ejpam-6749	558	5	xt	xt	PROPN
ejpam-6749	558	6	)	)	PUNCT
ejpam-6749	558	7	]	]	PUNCT
ejpam-6749	559	1	=	=	PUNCT
ejpam-6749	559	2	e[e[fs(xs)ft	e[e[fs(xs)ft	PROPN
ejpam-6749	559	3	(	(	PUNCT
ejpam-6749	559	4	xt	xt	NOUN
ejpam-6749	559	5	)	)	PUNCT
ejpam-6749	559	6	|xt	|xt	ADP
ejpam-6749	559	7	]	]	PUNCT
ejpam-6749	559	8	]	]	PUNCT
ejpam-6749	559	9	.	.	PUNCT
ejpam-6749	560	1	since	since	SCONJ
ejpam-6749	560	2	xi	xi	PROPN
ejpam-6749	560	3	is	be	AUX
ejpam-6749	560	4	independent	independent	ADJ
ejpam-6749	560	5	of	of	ADP
ejpam-6749	560	6	xt	xt	PROPN
ejpam-6749	560	7	and	and	CCONJ
ejpam-6749	560	8	ft	ft	PROPN
ejpam-6749	560	9	(	(	PUNCT
ejpam-6749	560	10	xt	xt	PROPN
ejpam-6749	560	11	)	)	PUNCT
ejpam-6749	560	12	does	do	AUX
ejpam-6749	560	13	not	not	PART
ejpam-6749	560	14	depend	depend	VERB
ejpam-6749	560	15	on	on	ADP
ejpam-6749	560	16	xi	xi	PROPN
ejpam-6749	560	17	:	:	PUNCT
ejpam-6749	560	18	e[fs(xs)ft	e[fs(xs)ft	PROPN
ejpam-6749	560	19	(	(	PUNCT
ejpam-6749	560	20	xt	xt	INTJ
ejpam-6749	560	21	)	)	PUNCT
ejpam-6749	560	22	|xt	|xt	X
ejpam-6749	560	23	]	]	PUNCT
ejpam-6749	560	24	=	=	SYM
ejpam-6749	560	25	ft	ft	X
ejpam-6749	560	26	(	(	PUNCT
ejpam-6749	560	27	xt	xt	PROPN
ejpam-6749	560	28	)	)	PUNCT
ejpam-6749	560	29	e[fs(xs)|xt	e[fs(xs)|xt	PROPN
ejpam-6749	560	30	]	]	X
ejpam-6749	560	31	.	.	PUNCT
ejpam-6749	561	1	by	by	ADP
ejpam-6749	561	2	the	the	DET
ejpam-6749	561	3	orthogonality	orthogonality	NOUN
ejpam-6749	561	4	condition	condition	NOUN
ejpam-6749	561	5	in	in	ADP
ejpam-6749	561	6	the	the	DET
ejpam-6749	561	7	recursive	recursive	ADJ
ejpam-6749	561	8	construction	construction	NOUN
ejpam-6749	561	9	,	,	PUNCT
ejpam-6749	561	10	e[fs(xs)|xt	e[fs(xs)|xt	X
ejpam-6749	561	11	]	]	X
ejpam-6749	561	12	=	=	SYM
ejpam-6749	561	13	0	0	NUM
ejpam-6749	561	14	when	when	SCONJ
ejpam-6749	561	15	s	s	VERB
ejpam-6749	561	16	̸⊆	̸⊆	PROPN
ejpam-6749	561	17	t	t	NOUN
ejpam-6749	561	18	,	,	PUNCT
ejpam-6749	561	19	which	which	PRON
ejpam-6749	561	20	follows	follow	VERB
ejpam-6749	561	21	from	from	ADP
ejpam-6749	561	22	the	the	DET
ejpam-6749	561	23	fact	fact	NOUN
ejpam-6749	561	24	that	that	SCONJ
ejpam-6749	561	25	fs	f	NOUN
ejpam-6749	561	26	has	have	AUX
ejpam-6749	561	27	been	be	AUX
ejpam-6749	561	28	constructed	construct	VERB
ejpam-6749	561	29	to	to	PART
ejpam-6749	561	30	be	be	AUX
ejpam-6749	561	31	orthogonal	orthogonal	ADJ
ejpam-6749	561	32	to	to	ADP
ejpam-6749	561	33	all	all	DET
ejpam-6749	561	34	functions	function	NOUN
ejpam-6749	561	35	depending	depend	VERB
ejpam-6749	561	36	on	on	ADP
ejpam-6749	561	37	fewer	few	ADJ
ejpam-6749	561	38	variables	variable	NOUN
ejpam-6749	561	39	.	.	PUNCT
ejpam-6749	562	1	therefore	therefore	ADV
ejpam-6749	562	2	,	,	PUNCT
ejpam-6749	562	3	all	all	DET
ejpam-6749	562	4	cross	cross	ADJ
ejpam-6749	562	5	terms	term	NOUN
ejpam-6749	562	6	vanish	vanish	VERB
ejpam-6749	562	7	,	,	PUNCT
ejpam-6749	562	8	and	and	CCONJ
ejpam-6749	562	9	we	we	PRON
ejpam-6749	562	10	obtain	obtain	VERB
ejpam-6749	562	11	:	:	PUNCT
ejpam-6749	562	12	e[f2(x	e[f2(x	X
ejpam-6749	562	13	)	)	PUNCT
ejpam-6749	562	14	]	]	PUNCT
ejpam-6749	563	1	=	=	PUNCT
ejpam-6749	563	2	∑	∑	PUNCT
ejpam-6749	563	3	s⊆{1,	s⊆{1,	PROPN
ejpam-6749	563	4	...	...	PUNCT
ejpam-6749	563	5	,k	,k	PUNCT
ejpam-6749	563	6	}	}	PUNCT
ejpam-6749	563	7	e[f2	e[f2	NOUN
ejpam-6749	563	8	s(xs	s(xs	NOUN
ejpam-6749	563	9	)	)	PUNCT
ejpam-6749	563	10	]	]	PUNCT
ejpam-6749	564	1	=	=	PUNCT
ejpam-6749	564	2	f2	f2	ADJ
ejpam-6749	564	3	0	0	PUNCT
ejpam-6749	565	1	+	+	CCONJ
ejpam-6749	565	2	∑	∑	PUNCT
ejpam-6749	565	3	∅≠s	∅≠s	VERB
ejpam-6749	565	4	vs	vs	ADP
ejpam-6749	565	5	,	,	PUNCT
ejpam-6749	565	6	where	where	SCONJ
ejpam-6749	565	7	we	we	PRON
ejpam-6749	565	8	have	have	AUX
ejpam-6749	565	9	used	use	VERB
ejpam-6749	565	10	e[f2	e[f2	NOUN
ejpam-6749	565	11	s(xs	s(xs	PROPN
ejpam-6749	565	12	)	)	PUNCT
ejpam-6749	565	13	]	]	PUNCT
ejpam-6749	565	14	=	=	SYM
ejpam-6749	565	15	var[fs(xs	var[fs(xs	PROPN
ejpam-6749	565	16	)	)	PUNCT
ejpam-6749	565	17	]	]	PUNCT
ejpam-6749	566	1	=	=	PUNCT
ejpam-6749	566	2	vs	vs	ADP
ejpam-6749	566	3	for	for	ADP
ejpam-6749	566	4	non	non	ADJ
ejpam-6749	566	5	-	-	ADJ
ejpam-6749	566	6	empty	empty	ADJ
ejpam-6749	566	7	s	s	NOUN
ejpam-6749	566	8	(	(	PUNCT
ejpam-6749	566	9	since	since	SCONJ
ejpam-6749	566	10	e[fs(xs	e[fs(x	NOUN
ejpam-6749	566	11	)	)	PUNCT
ejpam-6749	566	12	]	]	PUNCT
ejpam-6749	566	13	=	=	PUNCT
ejpam-6749	566	14	0	0	NUM
ejpam-6749	566	15	by	by	ADP
ejpam-6749	566	16	orthogonality	orthogonality	NOUN
ejpam-6749	566	17	)	)	PUNCT
ejpam-6749	566	18	,	,	PUNCT
ejpam-6749	566	19	and	and	CCONJ
ejpam-6749	566	20	e[f2	e[f2	NOUN
ejpam-6749	566	21	0	0	NUM
ejpam-6749	566	22	]	]	PUNCT
ejpam-6749	567	1	=	=	SYM
ejpam-6749	567	2	f2	f2	ADJ
ejpam-6749	567	3	0	0	PUNCT
ejpam-6749	567	4	since	since	SCONJ
ejpam-6749	567	5	f0	f0	PROPN
ejpam-6749	567	6	is	be	AUX
ejpam-6749	567	7	constant	constant	ADJ
ejpam-6749	567	8	.	.	PUNCT
ejpam-6749	568	1	substituting	substitute	VERB
ejpam-6749	568	2	into	into	ADP
ejpam-6749	568	3	the	the	DET
ejpam-6749	568	4	variance	variance	NOUN
ejpam-6749	568	5	formula	formula	NOUN
ejpam-6749	568	6	:	:	PUNCT
ejpam-6749	568	7	var[f(x	var[f(x	NOUN
ejpam-6749	568	8	)	)	PUNCT
ejpam-6749	568	9	]	]	PUNCT
ejpam-6749	569	1	=	=	PUNCT
ejpam-6749	569	2	e[f2(x)]−	e[f2(x)]−	X
ejpam-6749	569	3	f2	f2	ADJ
ejpam-6749	569	4	0	0	NUM
ejpam-6749	570	1	=	=	PUNCT
ejpam-6749	570	2	∑	∑	PUNCT
ejpam-6749	570	3	∅≠s	∅≠s	X
ejpam-6749	570	4	vs	vs	ADP
ejpam-6749	570	5	,	,	PUNCT
ejpam-6749	570	6	establishing	establish	VERB
ejpam-6749	570	7	the	the	DET
ejpam-6749	570	8	complete	complete	ADJ
ejpam-6749	570	9	variance	variance	NOUN
ejpam-6749	570	10	decomposition	decomposition	NOUN
ejpam-6749	570	11	.	.	PUNCT
ejpam-6749	571	1	m.	m.	NOUN
ejpam-6749	571	2	zorom	zorom	NOUN
ejpam-6749	571	3	et	et	PROPN
ejpam-6749	571	4	al	al	PROPN
ejpam-6749	571	5	.	.	PUNCT
ejpam-6749	571	6	/	/	SYM
ejpam-6749	571	7	eur	eur	PROPN
ejpam-6749	571	8	.	.	PUNCT
ejpam-6749	572	1	j.	j.	PROPN
ejpam-6749	572	2	pure	pure	PROPN
ejpam-6749	572	3	appl	appl	PROPN
ejpam-6749	572	4	.	.	PROPN
ejpam-6749	572	5	math	math	PROPN
ejpam-6749	572	6	,	,	PUNCT
ejpam-6749	572	7	18	18	NUM
ejpam-6749	572	8	(	(	PUNCT
ejpam-6749	572	9	4	4	NUM
ejpam-6749	572	10	)	)	PUNCT
ejpam-6749	572	11	(	(	PUNCT
ejpam-6749	572	12	2025	2025	NUM
ejpam-6749	572	13	)	)	PUNCT
ejpam-6749	572	14	,	,	PUNCT
ejpam-6749	572	15	6749	6749	NUM
ejpam-6749	572	16	26	26	NUM
ejpam-6749	572	17	of	of	ADP
ejpam-6749	572	18	47	47	NUM
ejpam-6749	572	19	definition	definition	NOUN
ejpam-6749	572	20	3	3	NUM
ejpam-6749	572	21	.	.	PUNCT
ejpam-6749	573	1	following	follow	VERB
ejpam-6749	573	2	the	the	DET
ejpam-6749	573	3	systematic	systematic	ADJ
ejpam-6749	573	4	development	development	NOUN
ejpam-6749	573	5	by	by	ADP
ejpam-6749	573	6	saltelli	saltelli	PROPN
ejpam-6749	573	7	et	et	PROPN
ejpam-6749	573	8	al	al	PROPN
ejpam-6749	573	9	.	.	PUNCT
ejpam-6749	574	1	[	[	X
ejpam-6749	574	2	66	66	NUM
ejpam-6749	574	3	]	]	PUNCT
ejpam-6749	574	4	,	,	PUNCT
ejpam-6749	574	5	the	the	DET
ejpam-6749	574	6	sobol	sobol	NOUN
ejpam-6749	574	7	sensitivity	sensitivity	NOUN
ejpam-6749	574	8	indices	index	NOUN
ejpam-6749	574	9	quantify	quantify	VERB
ejpam-6749	574	10	the	the	DET
ejpam-6749	574	11	relative	relative	ADJ
ejpam-6749	574	12	contribution	contribution	NOUN
ejpam-6749	574	13	of	of	ADP
ejpam-6749	574	14	different	different	ADJ
ejpam-6749	574	15	parameter	parameter	NOUN
ejpam-6749	574	16	combinations	combination	NOUN
ejpam-6749	574	17	to	to	ADP
ejpam-6749	574	18	the	the	DET
ejpam-6749	574	19	total	total	ADJ
ejpam-6749	574	20	output	output	NOUN
ejpam-6749	574	21	variance	variance	NOUN
ejpam-6749	574	22	:	:	PUNCT
ejpam-6749	574	23	ss	ss	PROPN
ejpam-6749	574	24	=	=	PUNCT
ejpam-6749	574	25	vs	vs	ADP
ejpam-6749	574	26	var[f(x	var[f(x	NOUN
ejpam-6749	574	27	)	)	PUNCT
ejpam-6749	574	28	]	]	PUNCT
ejpam-6749	574	29	,	,	PUNCT
ejpam-6749	574	30	(	(	PUNCT
ejpam-6749	574	31	main	main	ADJ
ejpam-6749	574	32	and	and	CCONJ
ejpam-6749	574	33	interaction	interaction	NOUN
ejpam-6749	574	34	effects	effect	NOUN
ejpam-6749	574	35	)	)	PUNCT
ejpam-6749	574	36	(	(	PUNCT
ejpam-6749	574	37	23	23	NUM
ejpam-6749	574	38	)	)	PUNCT
ejpam-6749	574	39	si	si	NOUN
ejpam-6749	574	40	=	=	SYM
ejpam-6749	574	41	vi	vi	PROPN
ejpam-6749	574	42	var[f(x	var[f(x	NOUN
ejpam-6749	574	43	)	)	PUNCT
ejpam-6749	574	44	]	]	PUNCT
ejpam-6749	575	1	=	=	PUNCT
ejpam-6749	575	2	varxi	varxi	NOUN
ejpam-6749	575	3	[	[	X
ejpam-6749	575	4	ex∼i	ex∼i	NOUN
ejpam-6749	576	1	[	[	X
ejpam-6749	576	2	f(x)|xi	f(x)|xi	X
ejpam-6749	576	3	]	]	X
ejpam-6749	576	4	]	]	X
ejpam-6749	576	5	var[f(x	var[f(x	NOUN
ejpam-6749	576	6	)	)	PUNCT
ejpam-6749	576	7	]	]	PUNCT
ejpam-6749	576	8	,	,	PUNCT
ejpam-6749	576	9	(	(	PUNCT
ejpam-6749	576	10	first	first	ADJ
ejpam-6749	576	11	-	-	PUNCT
ejpam-6749	576	12	order	order	NOUN
ejpam-6749	576	13	indices	index	NOUN
ejpam-6749	576	14	)	)	PUNCT
ejpam-6749	576	15	(	(	PUNCT
ejpam-6749	576	16	24	24	NUM
ejpam-6749	576	17	)	)	PUNCT
ejpam-6749	576	18	st	st	NOUN
ejpam-6749	577	1	i	i	NOUN
ejpam-6749	577	2	=	=	PUNCT
ejpam-6749	577	3	∑	∑	PUNCT
ejpam-6749	577	4	s	s	X
ejpam-6749	577	5	:	:	PUNCT
ejpam-6749	577	6	i∈s	i∈	NOUN
ejpam-6749	577	7	vs	vs	ADP
ejpam-6749	577	8	var[f(x	var[f(x	NOUN
ejpam-6749	577	9	)	)	PUNCT
ejpam-6749	577	10	]	]	PUNCT
ejpam-6749	578	1	=	=	SYM
ejpam-6749	578	2	1−	1−	NUM
ejpam-6749	578	3	varx∼i	varx∼i	PROPN
ejpam-6749	579	1	[	[	X
ejpam-6749	579	2	exi	exi	PROPN
ejpam-6749	579	3	[	[	X
ejpam-6749	579	4	f(x)|x∼i	f(x)|x∼i	PROPN
ejpam-6749	579	5	]	]	X
ejpam-6749	579	6	]	]	X
ejpam-6749	579	7	var[f(x	var[f(x	NOUN
ejpam-6749	579	8	)	)	PUNCT
ejpam-6749	579	9	]	]	PUNCT
ejpam-6749	579	10	,	,	PUNCT
ejpam-6749	579	11	(	(	PUNCT
ejpam-6749	579	12	total	total	ADJ
ejpam-6749	579	13	-	-	PUNCT
ejpam-6749	579	14	order	order	NOUN
ejpam-6749	579	15	indices	index	NOUN
ejpam-6749	579	16	)	)	PUNCT
ejpam-6749	579	17	(	(	PUNCT
ejpam-6749	579	18	25	25	NUM
ejpam-6749	579	19	)	)	PUNCT
ejpam-6749	579	20	where	where	SCONJ
ejpam-6749	579	21	x∼i	x∼i	PROPN
ejpam-6749	579	22	denotes	denote	VERB
ejpam-6749	579	23	all	all	DET
ejpam-6749	579	24	variables	variable	NOUN
ejpam-6749	579	25	except	except	SCONJ
ejpam-6749	579	26	xi	xi	PROPN
ejpam-6749	579	27	,	,	PUNCT
ejpam-6749	579	28	following	follow	VERB
ejpam-6749	579	29	the	the	DET
ejpam-6749	579	30	notation	notation	NOUN
ejpam-6749	579	31	established	establish	VERB
ejpam-6749	579	32	by	by	ADP
ejpam-6749	579	33	owen	owen	PROPN
ejpam-6749	579	34	[	[	X
ejpam-6749	579	35	74	74	NUM
ejpam-6749	579	36	]	]	PUNCT
ejpam-6749	579	37	.	.	PUNCT
ejpam-6749	580	1	the	the	DET
ejpam-6749	580	2	first	first	ADJ
ejpam-6749	580	3	-	-	PUNCT
ejpam-6749	580	4	order	order	NOUN
ejpam-6749	580	5	index	index	NOUN
ejpam-6749	580	6	si	si	NOUN
ejpam-6749	580	7	measures	measure	VERB
ejpam-6749	580	8	the	the	DET
ejpam-6749	580	9	direct	direct	ADJ
ejpam-6749	580	10	effect	effect	NOUN
ejpam-6749	580	11	of	of	ADP
ejpam-6749	580	12	parameter	parameter	NOUN
ejpam-6749	580	13	xi	xi	X
ejpam-6749	580	14	on	on	ADP
ejpam-6749	580	15	the	the	DET
ejpam-6749	580	16	output	output	NOUN
ejpam-6749	580	17	variance	variance	NOUN
ejpam-6749	580	18	,	,	PUNCT
ejpam-6749	580	19	while	while	SCONJ
ejpam-6749	580	20	the	the	DET
ejpam-6749	580	21	total	total	ADJ
ejpam-6749	580	22	-	-	PUNCT
ejpam-6749	580	23	order	order	NOUN
ejpam-6749	580	24	index	index	NOUN
ejpam-6749	580	25	st	st	PROPN
ejpam-6749	580	26	i	i	PRON
ejpam-6749	580	27	captures	capture	VERB
ejpam-6749	580	28	both	both	CCONJ
ejpam-6749	580	29	the	the	DET
ejpam-6749	580	30	direct	direct	ADJ
ejpam-6749	580	31	effect	effect	NOUN
ejpam-6749	580	32	and	and	CCONJ
ejpam-6749	580	33	all	all	DET
ejpam-6749	580	34	interaction	interaction	NOUN
ejpam-6749	580	35	effects	effect	NOUN
ejpam-6749	580	36	involving	involve	VERB
ejpam-6749	580	37	parameter	parameter	NOUN
ejpam-6749	580	38	xi	xi	PROPN
ejpam-6749	580	39	.	.	PUNCT
ejpam-6749	581	1	the	the	DET
ejpam-6749	581	2	difference	difference	NOUN
ejpam-6749	581	3	st	st	PROPN
ejpam-6749	582	1	i	i	PRON
ejpam-6749	582	2	−	−	PROPN
ejpam-6749	583	1	si	si	INTJ
ejpam-6749	583	2	quantifies	quantify	VERB
ejpam-6749	583	3	the	the	DET
ejpam-6749	583	4	total	total	ADJ
ejpam-6749	583	5	interaction	interaction	NOUN
ejpam-6749	583	6	effects	effect	NOUN
ejpam-6749	583	7	involving	involve	VERB
ejpam-6749	583	8	parameter	parameter	NOUN
ejpam-6749	583	9	xi	xi	PROPN
ejpam-6749	583	10	,	,	PUNCT
ejpam-6749	583	11	providing	provide	VERB
ejpam-6749	583	12	insights	insight	NOUN
ejpam-6749	583	13	into	into	ADP
ejpam-6749	583	14	parameter	parameter	NOUN
ejpam-6749	583	15	coupling	coupling	NOUN
ejpam-6749	583	16	strength	strength	NOUN
ejpam-6749	583	17	.	.	PUNCT
ejpam-6749	584	1	8.2	8.2	NUM
ejpam-6749	584	2	.	.	PUNCT
ejpam-6749	585	1	analytical	analytical	ADJ
ejpam-6749	585	2	sobol	sobol	NOUN
ejpam-6749	585	3	analysis	analysis	NOUN
ejpam-6749	585	4	for	for	ADP
ejpam-6749	585	5	basic	basic	ADJ
ejpam-6749	585	6	reproduction	reproduction	NOUN
ejpam-6749	585	7	number	number	NOUN
ejpam-6749	585	8	the	the	DET
ejpam-6749	585	9	multiplicative	multiplicative	ADJ
ejpam-6749	585	10	structure	structure	NOUN
ejpam-6749	585	11	of	of	ADP
ejpam-6749	585	12	r0	r0	NOUN
ejpam-6749	585	13	enables	enable	VERB
ejpam-6749	585	14	analytical	analytical	ADJ
ejpam-6749	585	15	computation	computation	NOUN
ejpam-6749	585	16	of	of	ADP
ejpam-6749	585	17	all	all	DET
ejpam-6749	585	18	sobol	sobol	NOUN
ejpam-6749	585	19	indices	index	NOUN
ejpam-6749	585	20	,	,	PUNCT
ejpam-6749	585	21	providing	provide	VERB
ejpam-6749	585	22	exact	exact	ADJ
ejpam-6749	585	23	results	result	NOUN
ejpam-6749	585	24	without	without	ADP
ejpam-6749	585	25	monte	monte	PROPN
ejpam-6749	585	26	carlo	carlo	PROPN
ejpam-6749	585	27	approximation	approximation	NOUN
ejpam-6749	585	28	.	.	PUNCT
ejpam-6749	586	1	this	this	DET
ejpam-6749	586	2	analytical	analytical	ADJ
ejpam-6749	586	3	approach	approach	NOUN
ejpam-6749	586	4	follows	follow	VERB
ejpam-6749	586	5	the	the	DET
ejpam-6749	586	6	methodology	methodology	NOUN
ejpam-6749	586	7	developed	develop	VERB
ejpam-6749	586	8	by	by	ADP
ejpam-6749	586	9	xu	xu	PROPN
ejpam-6749	586	10	and	and	CCONJ
ejpam-6749	586	11	gertner	gertner	NOUN
ejpam-6749	586	12	[	[	X
ejpam-6749	586	13	75	75	NUM
ejpam-6749	586	14	]	]	PUNCT
ejpam-6749	586	15	and	and	CCONJ
ejpam-6749	586	16	extended	extend	VERB
ejpam-6749	586	17	by	by	ADP
ejpam-6749	586	18	kucherenko	kucherenko	PROPN
ejpam-6749	586	19	et	et	PROPN
ejpam-6749	586	20	al	al	PROPN
ejpam-6749	586	21	.	.	PUNCT
ejpam-6749	587	1	[	[	X
ejpam-6749	587	2	76	76	NUM
ejpam-6749	587	3	]	]	PUNCT
ejpam-6749	587	4	.	.	PUNCT
ejpam-6749	588	1	we	we	PRON
ejpam-6749	588	2	give	give	VERB
ejpam-6749	588	3	below	below	ADP
ejpam-6749	588	4	the	the	DET
ejpam-6749	588	5	analytical	analytical	ADJ
ejpam-6749	588	6	sobol	sobol	NOUN
ejpam-6749	588	7	indices	indice	VERB
ejpam-6749	588	8	for	for	ADP
ejpam-6749	588	9	r0	r0	NOUN
ejpam-6749	588	10	.	.	PUNCT
ejpam-6749	589	1	theorem	theorem	PROPN
ejpam-6749	589	2	12	12	NUM
ejpam-6749	589	3	.	.	PUNCT
ejpam-6749	590	1	consider	consider	VERB
ejpam-6749	590	2	the	the	DET
ejpam-6749	590	3	basic	basic	ADJ
ejpam-6749	590	4	reproduction	reproduction	NOUN
ejpam-6749	590	5	number	number	NOUN
ejpam-6749	590	6	r0	r0	NOUN
ejpam-6749	590	7	=	=	SYM
ejpam-6749	590	8	βλ	βλ	PROPN
ejpam-6749	590	9	(	(	PUNCT
ejpam-6749	590	10	φ+δ+µ)(µ+γ	φ+δ+µ)(µ+γ	PROPN
ejpam-6749	590	11	)	)	PUNCT
ejpam-6749	590	12	with	with	ADP
ejpam-6749	590	13	independent	independent	ADJ
ejpam-6749	590	14	log	log	NOUN
ejpam-6749	590	15	-	-	PUNCT
ejpam-6749	590	16	normally	normally	ADV
ejpam-6749	590	17	distributed	distribute	VERB
ejpam-6749	590	18	parameters	parameter	NOUN
ejpam-6749	590	19	lnxj	lnxj	VERB
ejpam-6749	590	20	∼	∼	NOUN
ejpam-6749	590	21	n	n	CCONJ
ejpam-6749	590	22	(	(	PUNCT
ejpam-6749	590	23	ln	ln	PROPN
ejpam-6749	590	24	aj	aj	PROPN
ejpam-6749	590	25	,	,	PUNCT
ejpam-6749	590	26	σ	σ	PROPN
ejpam-6749	590	27	2	2	NUM
ejpam-6749	590	28	j	j	NOUN
ejpam-6749	590	29	)	)	PUNCT
ejpam-6749	590	30	where	where	SCONJ
ejpam-6749	590	31	aj	aj	PROPN
ejpam-6749	590	32	represents	represent	VERB
ejpam-6749	590	33	the	the	DET
ejpam-6749	590	34	nominal	nominal	ADJ
ejpam-6749	590	35	value	value	NOUN
ejpam-6749	590	36	of	of	ADP
ejpam-6749	590	37	parameter	parameter	PROPN
ejpam-6749	590	38	xj	xj	PROPN
ejpam-6749	590	39	.	.	PUNCT
ejpam-6749	591	1	the	the	DET
ejpam-6749	591	2	first	first	ADJ
ejpam-6749	591	3	-	-	PUNCT
ejpam-6749	591	4	order	order	NOUN
ejpam-6749	591	5	sobol	sobol	NOUN
ejpam-6749	591	6	index	index	NOUN
ejpam-6749	591	7	for	for	ADP
ejpam-6749	591	8	parameter	parameter	PROPN
ejpam-6749	591	9	xj	xj	PROPN
ejpam-6749	591	10	is	be	AUX
ejpam-6749	591	11	given	give	VERB
ejpam-6749	591	12	by	by	ADP
ejpam-6749	591	13	the	the	DET
ejpam-6749	591	14	analytical	analytical	ADJ
ejpam-6749	591	15	formula	formula	NOUN
ejpam-6749	591	16	sj	sj	INTJ
ejpam-6749	591	17	=	=	PUNCT
ejpam-6749	592	1	(	(	PUNCT
ejpam-6749	592	2	∂	∂	NUM
ejpam-6749	592	3	lnr0	lnr0	PROPN
ejpam-6749	592	4	∂	∂	PROPN
ejpam-6749	592	5	lnxj	lnxj	NOUN
ejpam-6749	592	6	)	)	PUNCT
ejpam-6749	592	7	2	2	NUM
ejpam-6749	593	1	σ2	σ2	PROPN
ejpam-6749	593	2	j	j	PROPN
ejpam-6749	593	3	∑k	∑k	PROPN
ejpam-6749	593	4	l=1	l=1	PROPN
ejpam-6749	593	5	(	(	PUNCT
ejpam-6749	593	6	∂	∂	NUM
ejpam-6749	593	7	lnr0	lnr0	PROPN
ejpam-6749	593	8	∂	∂	NOUN
ejpam-6749	593	9	lnxl	lnxl	PROPN
ejpam-6749	593	10	)	)	PUNCT
ejpam-6749	593	11	2	2	NUM
ejpam-6749	593	12	σ2	σ2	PROPN
ejpam-6749	593	13	l	l	NOUN
ejpam-6749	593	14	,	,	PUNCT
ejpam-6749	593	15	where	where	SCONJ
ejpam-6749	593	16	the	the	DET
ejpam-6749	593	17	logarithmic	logarithmic	ADJ
ejpam-6749	593	18	sensitivity	sensitivity	NOUN
ejpam-6749	593	19	coefficients	coefficient	NOUN
ejpam-6749	593	20	are	be	AUX
ejpam-6749	593	21	explicitly	explicitly	ADV
ejpam-6749	593	22	computable	computable	ADJ
ejpam-6749	593	23	.	.	PUNCT
ejpam-6749	594	1	proof	proof	NOUN
ejpam-6749	594	2	.	.	PUNCT
ejpam-6749	595	1	the	the	DET
ejpam-6749	595	2	analytical	analytical	ADJ
ejpam-6749	595	3	approach	approach	NOUN
ejpam-6749	595	4	exploits	exploit	VERB
ejpam-6749	595	5	the	the	DET
ejpam-6749	595	6	multiplicative	multiplicative	ADJ
ejpam-6749	595	7	structure	structure	NOUN
ejpam-6749	595	8	of	of	ADP
ejpam-6749	595	9	r0	r0	NOUN
ejpam-6749	595	10	by	by	ADP
ejpam-6749	595	11	working	work	VERB
ejpam-6749	595	12	in	in	ADP
ejpam-6749	595	13	logarithmic	logarithmic	ADJ
ejpam-6749	595	14	coordinates	coordinate	NOUN
ejpam-6749	595	15	,	,	PUNCT
ejpam-6749	595	16	following	follow	VERB
ejpam-6749	595	17	the	the	DET
ejpam-6749	595	18	transformation	transformation	NOUN
ejpam-6749	595	19	techniques	technique	NOUN
ejpam-6749	595	20	developed	develop	VERB
ejpam-6749	595	21	by	by	ADP
ejpam-6749	595	22	iman	iman	NOUN
ejpam-6749	595	23	and	and	CCONJ
ejpam-6749	595	24	helton	helton	PROPN
ejpam-6749	596	1	[	[	X
ejpam-6749	596	2	77	77	NUM
ejpam-6749	596	3	]	]	PUNCT
ejpam-6749	596	4	for	for	ADP
ejpam-6749	596	5	uncertainty	uncertainty	NOUN
ejpam-6749	596	6	propagation	propagation	NOUN
ejpam-6749	596	7	analysis	analysis	NOUN
ejpam-6749	596	8	.	.	PUNCT
ejpam-6749	597	1	taking	take	VERB
ejpam-6749	597	2	the	the	DET
ejpam-6749	597	3	natural	natural	ADJ
ejpam-6749	597	4	logarithm	logarithm	NOUN
ejpam-6749	597	5	of	of	ADP
ejpam-6749	597	6	the	the	DET
ejpam-6749	597	7	basic	basic	ADJ
ejpam-6749	597	8	reproduction	reproduction	NOUN
ejpam-6749	597	9	number	number	NOUN
ejpam-6749	597	10	:	:	PUNCT
ejpam-6749	598	1	lnr0	lnr0	PROPN
ejpam-6749	598	2	=	=	PRON
ejpam-6749	598	3	lnβ	lnβ	PROPN
ejpam-6749	598	4	+	+	CCONJ
ejpam-6749	598	5	lnλ−	lnλ−	PROPN
ejpam-6749	598	6	ln(φ+	ln(φ+	NOUN
ejpam-6749	598	7	δ	δ	PROPN
ejpam-6749	599	1	+	+	PUNCT
ejpam-6749	599	2	µ)−	µ)−	NOUN
ejpam-6749	599	3	ln(µ+	ln(µ+	PROPN
ejpam-6749	599	4	γ	γ	NOUN
ejpam-6749	599	5	)	)	PUNCT
ejpam-6749	599	6	.	.	PUNCT
ejpam-6749	600	1	for	for	ADP
ejpam-6749	600	2	parameters	parameter	NOUN
ejpam-6749	600	3	that	that	PRON
ejpam-6749	600	4	appear	appear	VERB
ejpam-6749	600	5	in	in	ADP
ejpam-6749	600	6	denominator	denominator	NOUN
ejpam-6749	600	7	terms	term	NOUN
ejpam-6749	600	8	,	,	PUNCT
ejpam-6749	600	9	we	we	PRON
ejpam-6749	600	10	employ	employ	VERB
ejpam-6749	600	11	the	the	DET
ejpam-6749	600	12	first	first	ADJ
ejpam-6749	600	13	-	-	PUNCT
ejpam-6749	600	14	order	order	NOUN
ejpam-6749	600	15	taylor	taylor	NOUN
ejpam-6749	600	16	expansion	expansion	NOUN
ejpam-6749	600	17	around	around	ADP
ejpam-6749	600	18	nominal	nominal	ADJ
ejpam-6749	600	19	values	value	NOUN
ejpam-6749	600	20	.	.	PUNCT
ejpam-6749	601	1	for	for	ADP
ejpam-6749	601	2	the	the	DET
ejpam-6749	601	3	term	term	NOUN
ejpam-6749	601	4	ln(φ+	ln(φ+	PROPN
ejpam-6749	601	5	δ	δ	PROPN
ejpam-6749	601	6	+	+	CCONJ
ejpam-6749	601	7	µ	µ	X
ejpam-6749	601	8	)	)	PUNCT
ejpam-6749	601	9	,	,	PUNCT
ejpam-6749	601	10	using	use	VERB
ejpam-6749	601	11	the	the	DET
ejpam-6749	601	12	multivariate	multivariate	NOUN
ejpam-6749	601	13	delta	delta	NOUN
ejpam-6749	601	14	m.	m.	NOUN
ejpam-6749	601	15	zorom	zorom	VERB
ejpam-6749	601	16	et	et	PROPN
ejpam-6749	601	17	al	al	PROPN
ejpam-6749	601	18	.	.	PUNCT
ejpam-6749	601	19	/	/	SYM
ejpam-6749	601	20	eur	eur	PROPN
ejpam-6749	601	21	.	.	PUNCT
ejpam-6749	602	1	j.	j.	PROPN
ejpam-6749	602	2	pure	pure	PROPN
ejpam-6749	602	3	appl	appl	PROPN
ejpam-6749	602	4	.	.	PROPN
ejpam-6749	602	5	math	math	PROPN
ejpam-6749	602	6	,	,	PUNCT
ejpam-6749	602	7	18	18	NUM
ejpam-6749	602	8	(	(	PUNCT
ejpam-6749	602	9	4	4	NUM
ejpam-6749	602	10	)	)	PUNCT
ejpam-6749	602	11	(	(	PUNCT
ejpam-6749	602	12	2025	2025	NUM
ejpam-6749	602	13	)	)	PUNCT
ejpam-6749	602	14	,	,	PUNCT
ejpam-6749	602	15	6749	6749	NUM
ejpam-6749	602	16	27	27	NUM
ejpam-6749	602	17	of	of	ADP
ejpam-6749	602	18	47	47	NUM
ejpam-6749	602	19	method	method	NOUN
ejpam-6749	602	20	(	(	PUNCT
ejpam-6749	602	21	see	see	VERB
ejpam-6749	602	22	casella	casella	NOUN
ejpam-6749	602	23	and	and	CCONJ
ejpam-6749	602	24	berger	berger	PROPN
ejpam-6749	603	1	[	[	X
ejpam-6749	603	2	78	78	NUM
ejpam-6749	603	3	]	]	PUNCT
ejpam-6749	603	4	):	):	PUNCT
ejpam-6749	603	5	ln(φ+	ln(φ+	PROPN
ejpam-6749	603	6	δ	δ	PROPN
ejpam-6749	603	7	+	+	CCONJ
ejpam-6749	603	8	µ	µ	X
ejpam-6749	603	9	)	)	PUNCT
ejpam-6749	603	10	≈	≈	PROPN
ejpam-6749	603	11	ln(φ+	ln(φ+	PROPN
ejpam-6749	603	12	δ	δ	PROPN
ejpam-6749	603	13	+	+	CCONJ
ejpam-6749	603	14	µ	µ	X
ejpam-6749	603	15	)	)	PUNCT
ejpam-6749	603	16	∣∣	∣∣	X
ejpam-6749	603	17	nominal	nominal	ADJ
ejpam-6749	603	18	+	+	CCONJ
ejpam-6749	603	19	∑	∑	PROPN
ejpam-6749	603	20	j∈{φ	j∈{φ	ADJ
ejpam-6749	603	21	,	,	PUNCT
ejpam-6749	603	22	δ,µ	δ,µ	NOUN
ejpam-6749	603	23	}	}	PUNCT
ejpam-6749	603	24	∂	∂	NUM
ejpam-6749	603	25	ln(φ+	ln(φ+	PROPN
ejpam-6749	603	26	δ	δ	PROPN
ejpam-6749	603	27	+	+	CCONJ
ejpam-6749	603	28	µ	µ	X
ejpam-6749	603	29	)	)	PUNCT
ejpam-6749	603	30	∂j	∂j	PROPN
ejpam-6749	603	31	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6749	603	32	nominal	nominal	NOUN
ejpam-6749	603	33	(	(	PUNCT
ejpam-6749	603	34	j	j	PROPN
ejpam-6749	603	35	−	−	PROPN
ejpam-6749	603	36	jnominal	jnominal	PROPN
ejpam-6749	603	37	)	)	PUNCT
ejpam-6749	603	38	.	.	PUNCT
ejpam-6749	604	1	computing	compute	VERB
ejpam-6749	604	2	the	the	DET
ejpam-6749	604	3	partial	partial	ADJ
ejpam-6749	604	4	derivatives	derivative	NOUN
ejpam-6749	604	5	:	:	PUNCT
ejpam-6749	604	6	∂	∂	NUM
ejpam-6749	604	7	ln(φ+	ln(φ+	PROPN
ejpam-6749	604	8	δ	δ	PROPN
ejpam-6749	604	9	+	+	CCONJ
ejpam-6749	604	10	µ	µ	X
ejpam-6749	604	11	)	)	PUNCT
ejpam-6749	604	12	∂φ	∂φ	PROPN
ejpam-6749	605	1	=	=	SYM
ejpam-6749	605	2	1	1	NUM
ejpam-6749	605	3	φ+	φ+	X
ejpam-6749	605	4	δ	δ	PROPN
ejpam-6749	605	5	+	+	CCONJ
ejpam-6749	605	6	µ	µ	X
ejpam-6749	605	7	·	·	PUNCT
ejpam-6749	605	8	∂(φ+	∂(φ+	PROPN
ejpam-6749	605	9	δ	δ	PROPN
ejpam-6749	605	10	+	+	CCONJ
ejpam-6749	605	11	µ	µ	X
ejpam-6749	605	12	)	)	PUNCT
ejpam-6749	605	13	∂φ	∂φ	PROPN
ejpam-6749	605	14	=	=	SYM
ejpam-6749	605	15	1	1	NUM
ejpam-6749	605	16	φ+	φ+	X
ejpam-6749	605	17	δ	δ	PROPN
ejpam-6749	605	18	+	+	X
ejpam-6749	605	19	µ	µ	X
ejpam-6749	605	20	.	.	PUNCT
ejpam-6749	606	1	for	for	ADP
ejpam-6749	606	2	small	small	ADJ
ejpam-6749	606	3	relative	relative	ADJ
ejpam-6749	606	4	variations	variation	NOUN
ejpam-6749	606	5	,	,	PUNCT
ejpam-6749	606	6	we	we	PRON
ejpam-6749	606	7	can	can	AUX
ejpam-6749	606	8	express	express	VERB
ejpam-6749	606	9	(	(	PUNCT
ejpam-6749	606	10	j	j	PROPN
ejpam-6749	606	11	−	−	PROPN
ejpam-6749	606	12	jnominal	jnominal	PROPN
ejpam-6749	606	13	)	)	PUNCT
ejpam-6749	606	14	=	=	SYM
ejpam-6749	606	15	jnominal	jnominal	ADJ
ejpam-6749	606	16	(	(	PUNCT
ejpam-6749	606	17	j	j	PROPN
ejpam-6749	606	18	jnominal	jnominal	ADJ
ejpam-6749	606	19	−	−	PROPN
ejpam-6749	606	20	1	1	NUM
ejpam-6749	606	21	)	)	PUNCT
ejpam-6749	606	22	=	=	SYM
ejpam-6749	607	1	jnominal	jnominal	ADJ
ejpam-6749	607	2	(	(	PUNCT
ejpam-6749	607	3	∆j	∆j	PROPN
ejpam-6749	607	4	jnominal	jnominal	ADJ
ejpam-6749	607	5	)	)	PUNCT
ejpam-6749	607	6	,	,	PUNCT
ejpam-6749	607	7	where	where	SCONJ
ejpam-6749	607	8	∆j	∆j	PROPN
ejpam-6749	607	9	jnominal	jnominal	NOUN
ejpam-6749	607	10	=	=	SYM
ejpam-6749	607	11	ln	ln	ADJ
ejpam-6749	607	12	j	j	PROPN
ejpam-6749	607	13	−	−	PROPN
ejpam-6749	607	14	ln	ln	ADJ
ejpam-6749	607	15	jnominal	jnominal	NOUN
ejpam-6749	607	16	for	for	ADP
ejpam-6749	607	17	small	small	ADJ
ejpam-6749	607	18	changes	change	NOUN
ejpam-6749	607	19	.	.	PUNCT
ejpam-6749	608	1	this	this	PRON
ejpam-6749	608	2	leads	lead	VERB
ejpam-6749	608	3	to	to	ADP
ejpam-6749	608	4	the	the	DET
ejpam-6749	608	5	approximation	approximation	NOUN
ejpam-6749	608	6	:	:	PUNCT
ejpam-6749	608	7	ln(φ+	ln(φ+	PROPN
ejpam-6749	608	8	δ	δ	PROPN
ejpam-6749	608	9	+	+	CCONJ
ejpam-6749	608	10	µ	µ	X
ejpam-6749	608	11	)	)	PUNCT
ejpam-6749	608	12	≈	≈	PROPN
ejpam-6749	608	13	ln(φ+	ln(φ+	PROPN
ejpam-6749	608	14	δ	δ	PROPN
ejpam-6749	608	15	+	+	CCONJ
ejpam-6749	608	16	µ	µ	X
ejpam-6749	608	17	)	)	PUNCT
ejpam-6749	609	1	∣∣	∣∣	NUM
ejpam-6749	609	2	nominal	nominal	ADJ
ejpam-6749	609	3	+	+	NUM
ejpam-6749	609	4	φ	φ	PROPN
ejpam-6749	609	5	φ+δ+µ(lnφ−	φ+δ+µ(lnφ−	PROPN
ejpam-6749	609	6	lnφnominal	lnφnominal	ADJ
ejpam-6749	609	7	)	)	PUNCT
ejpam-6749	610	1	+	+	CCONJ
ejpam-6749	610	2	δ	δ	PROPN
ejpam-6749	610	3	φ+δ+µ(ln	φ+δ+µ(ln	PROPN
ejpam-6749	610	4	δ	δ	PROPN
ejpam-6749	610	5	−	−	PROPN
ejpam-6749	610	6	ln	ln	ADJ
ejpam-6749	610	7	δnominal	δnominal	ADJ
ejpam-6749	610	8	)	)	PUNCT
ejpam-6749	611	1	+	+	NUM
ejpam-6749	611	2	µ	µ	PRON
ejpam-6749	611	3	φ+δ+µ(lnµ−	φ+δ+µ(lnµ−	ADJ
ejpam-6749	611	4	lnµnominal	lnµnominal	NOUN
ejpam-6749	611	5	)	)	PUNCT
ejpam-6749	611	6	.	.	PUNCT
ejpam-6749	612	1	similarly	similarly	ADV
ejpam-6749	612	2	,	,	PUNCT
ejpam-6749	612	3	for	for	ADP
ejpam-6749	612	4	the	the	DET
ejpam-6749	612	5	term	term	NOUN
ejpam-6749	612	6	ln(µ+	ln(µ+	PROPN
ejpam-6749	612	7	γ	γ	X
ejpam-6749	612	8	):	):	PUNCT
ejpam-6749	612	9	ln(µ+	ln(µ+	PROPN
ejpam-6749	612	10	γ	γ	X
ejpam-6749	612	11	)	)	PUNCT
ejpam-6749	612	12	≈	≈	PROPN
ejpam-6749	612	13	ln(µ+	ln(µ+	PROPN
ejpam-6749	612	14	γ	γ	X
ejpam-6749	612	15	)	)	PUNCT
ejpam-6749	612	16	∣∣	∣∣	NUM
ejpam-6749	612	17	nominal	nominal	ADJ
ejpam-6749	612	18	+	+	X
ejpam-6749	612	19	µ	µ	X
ejpam-6749	612	20	µ+γ	µ+γ	NUM
ejpam-6749	612	21	(	(	PUNCT
ejpam-6749	612	22	lnµ−lnµnominal)+	lnµ−lnµnominal)+	ADV
ejpam-6749	612	23	γ	γ	X
ejpam-6749	612	24	µ+γ	µ+γ	NUM
ejpam-6749	612	25	(	(	PUNCT
ejpam-6749	612	26	ln	ln	NOUN
ejpam-6749	612	27	γ	γ	X
ejpam-6749	612	28	−	−	PROPN
ejpam-6749	612	29	ln	ln	ADJ
ejpam-6749	612	30	γnominal	γnominal	NOUN
ejpam-6749	612	31	)	)	PUNCT
ejpam-6749	612	32	.	.	PUNCT
ejpam-6749	613	1	substituting	substitute	VERB
ejpam-6749	613	2	these	these	DET
ejpam-6749	613	3	approximations	approximation	NOUN
ejpam-6749	613	4	into	into	ADP
ejpam-6749	613	5	the	the	DET
ejpam-6749	613	6	expression	expression	NOUN
ejpam-6749	613	7	for	for	ADP
ejpam-6749	613	8	lnr0	lnr0	PROPN
ejpam-6749	613	9	and	and	CCONJ
ejpam-6749	613	10	collecting	collect	VERB
ejpam-6749	613	11	terms	term	NOUN
ejpam-6749	613	12	,	,	PUNCT
ejpam-6749	613	13	we	we	PRON
ejpam-6749	613	14	obtain	obtain	VERB
ejpam-6749	613	15	the	the	DET
ejpam-6749	613	16	first	first	ADJ
ejpam-6749	613	17	-	-	PUNCT
ejpam-6749	613	18	order	order	NOUN
ejpam-6749	613	19	linear	linear	NOUN
ejpam-6749	613	20	approximation	approximation	NOUN
ejpam-6749	613	21	:	:	PUNCT
ejpam-6749	613	22	lnr0	lnr0	PROPN
ejpam-6749	613	23	≈	≈	PROPN
ejpam-6749	613	24	lnr0,nominal+	lnr0,nominal+	VERB
ejpam-6749	613	25	∑k	∑k	PROPN
ejpam-6749	613	26	j=1	j=1	PROPN
ejpam-6749	613	27	∂	∂	NUM
ejpam-6749	614	1	lnr0	lnr0	PROPN
ejpam-6749	614	2	∂	∂	PROPN
ejpam-6749	614	3	lnxj	lnxj	NOUN
ejpam-6749	614	4	(	(	PUNCT
ejpam-6749	614	5	lnxj−	lnxj−	PROPN
ejpam-6749	614	6	ln	ln	PROPN
ejpam-6749	614	7	aj	aj	PROPN
ejpam-6749	614	8	)	)	PUNCT
ejpam-6749	614	9	,	,	PUNCT
ejpam-6749	614	10	where	where	SCONJ
ejpam-6749	614	11	the	the	DET
ejpam-6749	614	12	logarithmic	logarithmic	ADJ
ejpam-6749	614	13	sensitivity	sensitivity	NOUN
ejpam-6749	614	14	coefficients	coefficient	NOUN
ejpam-6749	614	15	are	be	AUX
ejpam-6749	614	16	:	:	PUNCT
ejpam-6749	614	17	∂	∂	NUM
ejpam-6749	614	18	lnr0	lnr0	PROPN
ejpam-6749	614	19	∂	∂	NOUN
ejpam-6749	614	20	lnβ	lnβ	NOUN
ejpam-6749	614	21	=	=	SYM
ejpam-6749	614	22	1	1	NUM
ejpam-6749	614	23	,	,	PUNCT
ejpam-6749	614	24	(	(	PUNCT
ejpam-6749	614	25	26	26	NUM
ejpam-6749	614	26	)	)	PUNCT
ejpam-6749	614	27	∂	∂	NOUN
ejpam-6749	614	28	lnr0	lnr0	PROPN
ejpam-6749	614	29	∂	∂	PROPN
ejpam-6749	614	30	ln	ln	PROPN
ejpam-6749	614	31	λ	λ	X
ejpam-6749	614	32	=	=	SYM
ejpam-6749	614	33	1	1	NUM
ejpam-6749	614	34	,	,	PUNCT
ejpam-6749	614	35	(	(	PUNCT
ejpam-6749	614	36	27	27	NUM
ejpam-6749	614	37	)	)	PUNCT
ejpam-6749	614	38	∂	∂	NOUN
ejpam-6749	614	39	lnr0	lnr0	PROPN
ejpam-6749	614	40	∂	∂	NOUN
ejpam-6749	614	41	lnφ	lnφ	NOUN
ejpam-6749	614	42	=	=	PUNCT
ejpam-6749	614	43	−	−	PROPN
ejpam-6749	614	44	φ	φ	PROPN
ejpam-6749	614	45	φ+	φ+	X
ejpam-6749	614	46	δ	δ	PROPN
ejpam-6749	614	47	+	+	X
ejpam-6749	614	48	µ	µ	X
ejpam-6749	614	49	,	,	PUNCT
ejpam-6749	614	50	(	(	PUNCT
ejpam-6749	614	51	28	28	NUM
ejpam-6749	614	52	)	)	PUNCT
ejpam-6749	614	53	∂	∂	NOUN
ejpam-6749	614	54	lnr0	lnr0	PROPN
ejpam-6749	614	55	∂	∂	PROPN
ejpam-6749	614	56	ln	ln	PROPN
ejpam-6749	614	57	δ	δ	PROPN
ejpam-6749	614	58	=	=	SYM
ejpam-6749	614	59	−	−	PROPN
ejpam-6749	614	60	δ	δ	PROPN
ejpam-6749	614	61	φ+	φ+	X
ejpam-6749	614	62	δ	δ	PROPN
ejpam-6749	614	63	+	+	X
ejpam-6749	614	64	µ	µ	X
ejpam-6749	614	65	,	,	PUNCT
ejpam-6749	614	66	(	(	PUNCT
ejpam-6749	614	67	29	29	NUM
ejpam-6749	614	68	)	)	PUNCT
ejpam-6749	614	69	∂	∂	NOUN
ejpam-6749	614	70	lnr0	lnr0	PROPN
ejpam-6749	614	71	∂	∂	NUM
ejpam-6749	614	72	lnµ	lnµ	NOUN
ejpam-6749	614	73	=	=	SYM
ejpam-6749	614	74	−	−	PROPN
ejpam-6749	614	75	µ	µ	X
ejpam-6749	614	76	φ+	φ+	PUNCT
ejpam-6749	614	77	δ	δ	X
ejpam-6749	614	78	+	+	CCONJ
ejpam-6749	614	79	µ	µ	X
ejpam-6749	614	80	−	−	PROPN
ejpam-6749	614	81	µ	µ	X
ejpam-6749	614	82	µ+	µ+	PUNCT
ejpam-6749	614	83	γ	γ	X
ejpam-6749	614	84	,	,	PUNCT
ejpam-6749	614	85	(	(	PUNCT
ejpam-6749	614	86	30	30	NUM
ejpam-6749	614	87	)	)	PUNCT
ejpam-6749	614	88	∂	∂	NOUN
ejpam-6749	614	89	lnr0	lnr0	PROPN
ejpam-6749	614	90	∂	∂	PROPN
ejpam-6749	614	91	ln	ln	NOUN
ejpam-6749	614	92	γ	γ	X
ejpam-6749	614	93	=	=	SYM
ejpam-6749	614	94	−	−	PROPN
ejpam-6749	614	95	γ	γ	X
ejpam-6749	614	96	µ+	µ+	VERB
ejpam-6749	614	97	γ	γ	X
ejpam-6749	614	98	,	,	PUNCT
ejpam-6749	614	99	(	(	PUNCT
ejpam-6749	614	100	31	31	NUM
ejpam-6749	614	101	)	)	PUNCT
ejpam-6749	614	102	∂	∂	NOUN
ejpam-6749	614	103	lnr0	lnr0	PROPN
ejpam-6749	614	104	∂	∂	PROPN
ejpam-6749	615	1	ln	ln	NOUN
ejpam-6749	615	2	k	k	PROPN
ejpam-6749	615	3	=	=	PUNCT
ejpam-6749	615	4	0	0	PROPN
ejpam-6749	615	5	.	.	PUNCT
ejpam-6749	616	1	(	(	PUNCT
ejpam-6749	616	2	32	32	NUM
ejpam-6749	616	3	)	)	PUNCT
ejpam-6749	616	4	since	since	SCONJ
ejpam-6749	616	5	lnxj	lnxj	NOUN
ejpam-6749	616	6	∼	∼	NOUN
ejpam-6749	616	7	n	n	CCONJ
ejpam-6749	616	8	(	(	PUNCT
ejpam-6749	616	9	ln	ln	PROPN
ejpam-6749	616	10	aj	aj	PROPN
ejpam-6749	616	11	,	,	PUNCT
ejpam-6749	616	12	σ	σ	PROPN
ejpam-6749	616	13	2	2	NUM
ejpam-6749	616	14	j	j	NOUN
ejpam-6749	616	15	)	)	PUNCT
ejpam-6749	616	16	are	be	AUX
ejpam-6749	616	17	independent	independent	ADJ
ejpam-6749	616	18	normal	normal	ADJ
ejpam-6749	616	19	random	random	ADJ
ejpam-6749	616	20	variables	variable	NOUN
ejpam-6749	616	21	,	,	PUNCT
ejpam-6749	616	22	the	the	DET
ejpam-6749	616	23	variance	variance	NOUN
ejpam-6749	616	24	of	of	ADP
ejpam-6749	616	25	lnr0	lnr0	PROPN
ejpam-6749	616	26	becomes	become	VERB
ejpam-6749	616	27	,	,	PUNCT
ejpam-6749	616	28	by	by	ADP
ejpam-6749	616	29	the	the	DET
ejpam-6749	616	30	properties	property	NOUN
ejpam-6749	616	31	of	of	ADP
ejpam-6749	616	32	linear	linear	ADJ
ejpam-6749	616	33	combinations	combination	NOUN
ejpam-6749	616	34	of	of	ADP
ejpam-6749	616	35	independent	independent	ADJ
ejpam-6749	616	36	normal	normal	ADJ
ejpam-6749	616	37	variables	variable	NOUN
ejpam-6749	616	38	(	(	PUNCT
ejpam-6749	616	39	see	see	VERB
ejpam-6749	616	40	johnson	johnson	PROPN
ejpam-6749	616	41	,	,	PUNCT
ejpam-6749	616	42	kotz	kotz	PROPN
ejpam-6749	616	43	,	,	PUNCT
ejpam-6749	616	44	and	and	CCONJ
ejpam-6749	616	45	balakrishnan	balakrishnan	PROPN
ejpam-6749	617	1	[	[	X
ejpam-6749	617	2	79	79	NUM
ejpam-6749	617	3	]	]	PUNCT
ejpam-6749	617	4	):	):	PUNCT
ejpam-6749	617	5	var[lnr0	var[lnr0	X
ejpam-6749	617	6	]	]	X
ejpam-6749	617	7	=	=	SYM
ejpam-6749	617	8	∑k	∑k	PROPN
ejpam-6749	617	9	j=1	j=1	NOUN
ejpam-6749	617	10	(	(	PUNCT
ejpam-6749	617	11	∂	∂	NUM
ejpam-6749	617	12	lnr0	lnr0	PROPN
ejpam-6749	617	13	∂	∂	PROPN
ejpam-6749	617	14	lnxj	lnxj	NOUN
ejpam-6749	617	15	)	)	PUNCT
ejpam-6749	617	16	2	2	NUM
ejpam-6749	617	17	var[lnxj	var[lnxj	NOUN
ejpam-6749	617	18	]	]	PUNCT
ejpam-6749	618	1	=	=	PUNCT
ejpam-6749	618	2	∑k	∑k	PROPN
ejpam-6749	618	3	j=1	j=1	NOUN
ejpam-6749	618	4	(	(	PUNCT
ejpam-6749	618	5	∂	∂	NUM
ejpam-6749	618	6	lnr0	lnr0	PROPN
ejpam-6749	618	7	∂	∂	PROPN
ejpam-6749	618	8	lnxj	lnxj	NOUN
ejpam-6749	618	9	)	)	PUNCT
ejpam-6749	618	10	2	2	PROPN
ejpam-6749	618	11	σ2	σ2	PROPN
ejpam-6749	618	12	j	j	PROPN
ejpam-6749	618	13	.	.	PUNCT
ejpam-6749	619	1	the	the	DET
ejpam-6749	619	2	first	first	ADJ
ejpam-6749	619	3	-	-	PUNCT
ejpam-6749	619	4	order	order	NOUN
ejpam-6749	619	5	variance	variance	NOUN
ejpam-6749	619	6	contribution	contribution	NOUN
ejpam-6749	619	7	from	from	ADP
ejpam-6749	619	8	parameter	parameter	PROPN
ejpam-6749	619	9	xj	xj	PROPN
ejpam-6749	619	10	is	be	AUX
ejpam-6749	619	11	:	:	PUNCT
ejpam-6749	619	12	vj	vj	PROPN
ejpam-6749	619	13	=	=	SYM
ejpam-6749	619	14	(	(	PUNCT
ejpam-6749	619	15	∂	∂	NUM
ejpam-6749	619	16	lnr0	lnr0	PROPN
ejpam-6749	619	17	∂	∂	PROPN
ejpam-6749	619	18	lnxj	lnxj	NOUN
ejpam-6749	619	19	)	)	PUNCT
ejpam-6749	619	20	2	2	PROPN
ejpam-6749	619	21	σ2	σ2	PROPN
ejpam-6749	619	22	j	j	PROPN
ejpam-6749	619	23	,	,	PUNCT
ejpam-6749	619	24	and	and	CCONJ
ejpam-6749	619	25	the	the	DET
ejpam-6749	619	26	first	first	ADJ
ejpam-6749	619	27	-	-	PUNCT
ejpam-6749	619	28	order	order	NOUN
ejpam-6749	619	29	sobol	sobol	NOUN
ejpam-6749	619	30	index	index	NOUN
ejpam-6749	619	31	becomes	become	VERB
ejpam-6749	619	32	:	:	PUNCT
ejpam-6749	620	1	sj	sj	INTJ
ejpam-6749	620	2	=	=	PUNCT
ejpam-6749	620	3	vj	vj	INTJ
ejpam-6749	620	4	var[lnr0	var[lnr0	PROPN
ejpam-6749	620	5	]	]	X
ejpam-6749	620	6	=	=	SYM
ejpam-6749	620	7	(	(	PUNCT
ejpam-6749	620	8	∂	∂	NUM
ejpam-6749	620	9	lnr0	lnr0	PROPN
ejpam-6749	620	10	∂	∂	PROPN
ejpam-6749	620	11	lnxj	lnxj	NOUN
ejpam-6749	620	12	)	)	PUNCT
ejpam-6749	620	13	2	2	NUM
ejpam-6749	620	14	σ2	σ2	PROPN
ejpam-6749	620	15	j∑k	j∑k	PROPN
ejpam-6749	620	16	l=1	l=1	PROPN
ejpam-6749	620	17	(	(	PUNCT
ejpam-6749	620	18	∂	∂	NUM
ejpam-6749	620	19	lnr0	lnr0	PROPN
ejpam-6749	620	20	∂	∂	NOUN
ejpam-6749	620	21	lnxl	lnxl	PROPN
ejpam-6749	620	22	)	)	PUNCT
ejpam-6749	620	23	2	2	NUM
ejpam-6749	620	24	σ2	σ2	PROPN
ejpam-6749	620	25	l	l	NOUN
ejpam-6749	620	26	.	.	PUNCT
ejpam-6749	621	1	m.	m.	NOUN
ejpam-6749	621	2	zorom	zorom	NOUN
ejpam-6749	621	3	et	et	PROPN
ejpam-6749	621	4	al	al	PROPN
ejpam-6749	621	5	.	.	PUNCT
ejpam-6749	621	6	/	/	SYM
ejpam-6749	621	7	eur	eur	PROPN
ejpam-6749	621	8	.	.	PUNCT
ejpam-6749	622	1	j.	j.	PROPN
ejpam-6749	622	2	pure	pure	PROPN
ejpam-6749	622	3	appl	appl	PROPN
ejpam-6749	622	4	.	.	PROPN
ejpam-6749	622	5	math	math	PROPN
ejpam-6749	622	6	,	,	PUNCT
ejpam-6749	622	7	18	18	NUM
ejpam-6749	622	8	(	(	PUNCT
ejpam-6749	622	9	4	4	NUM
ejpam-6749	622	10	)	)	PUNCT
ejpam-6749	622	11	(	(	PUNCT
ejpam-6749	622	12	2025	2025	NUM
ejpam-6749	622	13	)	)	PUNCT
ejpam-6749	622	14	,	,	PUNCT
ejpam-6749	622	15	6749	6749	NUM
ejpam-6749	622	16	28	28	NUM
ejpam-6749	622	17	of	of	ADP
ejpam-6749	622	18	47	47	NUM
ejpam-6749	622	19	this	this	DET
ejpam-6749	622	20	analytical	analytical	ADJ
ejpam-6749	622	21	formula	formula	NOUN
ejpam-6749	622	22	provides	provide	VERB
ejpam-6749	622	23	exact	exact	ADJ
ejpam-6749	622	24	expressions	expression	NOUN
ejpam-6749	622	25	for	for	ADP
ejpam-6749	622	26	sensitivity	sensitivity	NOUN
ejpam-6749	622	27	indices	index	NOUN
ejpam-6749	622	28	without	without	ADP
ejpam-6749	622	29	requiring	require	VERB
ejpam-6749	622	30	monte	monte	PROPN
ejpam-6749	622	31	carlo	carlo	NOUN
ejpam-6749	622	32	sampling	sampling	NOUN
ejpam-6749	622	33	,	,	PUNCT
ejpam-6749	622	34	following	follow	VERB
ejpam-6749	622	35	the	the	DET
ejpam-6749	622	36	principles	principle	NOUN
ejpam-6749	622	37	established	establish	VERB
ejpam-6749	622	38	by	by	ADP
ejpam-6749	622	39	cukier	cukier	PROPN
ejpam-6749	622	40	et	et	PROPN
ejpam-6749	622	41	al	al	PROPN
ejpam-6749	622	42	.	.	PUNCT
ejpam-6749	623	1	[	[	X
ejpam-6749	623	2	80	80	NUM
ejpam-6749	623	3	]	]	PUNCT
ejpam-6749	623	4	for	for	ADP
ejpam-6749	623	5	analytical	analytical	ADJ
ejpam-6749	623	6	sensitivity	sensitivity	NOUN
ejpam-6749	623	7	analysis	analysis	NOUN
ejpam-6749	623	8	.	.	PUNCT
ejpam-6749	624	1	we	we	PRON
ejpam-6749	624	2	proof	proof	VERB
ejpam-6749	624	3	absence	absence	NOUN
ejpam-6749	624	4	of	of	ADP
ejpam-6749	624	5	interaction	interaction	NOUN
ejpam-6749	624	6	effects	effect	NOUN
ejpam-6749	624	7	for	for	ADP
ejpam-6749	624	8	r0	r0	NOUN
ejpam-6749	624	9	.	.	PUNCT
ejpam-6749	625	1	the	the	DET
ejpam-6749	625	2	claim	claim	NOUN
ejpam-6749	625	3	of	of	ADP
ejpam-6749	625	4	no	no	DET
ejpam-6749	625	5	interaction	interaction	NOUN
ejpam-6749	625	6	effects	effect	NOUN
ejpam-6749	625	7	in	in	ADP
ejpam-6749	625	8	theorem	theorem	ADJ
ejpam-6749	625	9	13	13	NUM
ejpam-6749	625	10	requires	require	VERB
ejpam-6749	625	11	explicit	explicit	ADJ
ejpam-6749	625	12	approximation	approximation	NOUN
ejpam-6749	625	13	assumptions	assumption	NOUN
ejpam-6749	625	14	:	:	PUNCT
ejpam-6749	625	15	assumption	assumption	NOUN
ejpam-6749	625	16	1	1	NUM
ejpam-6749	625	17	(	(	PUNCT
ejpam-6749	625	18	small	small	ADJ
ejpam-6749	625	19	relative	relative	ADJ
ejpam-6749	625	20	variations	variation	NOUN
ejpam-6749	625	21	)	)	PUNCT
ejpam-6749	625	22	.	.	PUNCT
ejpam-6749	626	1	for	for	ADP
ejpam-6749	626	2	parameters	parameter	NOUN
ejpam-6749	626	3	ϕ	ϕ	PROPN
ejpam-6749	626	4	,	,	PUNCT
ejpam-6749	626	5	δ	δ	PROPN
ejpam-6749	626	6	,	,	PUNCT
ejpam-6749	626	7	µ	µ	PRON
ejpam-6749	626	8	,	,	PUNCT
ejpam-6749	626	9	γ	γ	PROPN
ejpam-6749	626	10	,	,	PUNCT
ejpam-6749	626	11	we	we	PRON
ejpam-6749	626	12	assume	assume	VERB
ejpam-6749	626	13	relative	relative	ADJ
ejpam-6749	626	14	variations	variation	NOUN
ejpam-6749	626	15	around	around	ADP
ejpam-6749	626	16	nominal	nominal	ADJ
ejpam-6749	626	17	values	value	NOUN
ejpam-6749	626	18	are	be	AUX
ejpam-6749	626	19	sufficiently	sufficiently	ADV
ejpam-6749	626	20	small	small	ADJ
ejpam-6749	626	21	such	such	ADJ
ejpam-6749	626	22	that	that	PRON
ejpam-6749	626	23	first	first	ADJ
ejpam-6749	626	24	-	-	PUNCT
ejpam-6749	626	25	order	order	NOUN
ejpam-6749	626	26	taylor	taylor	NOUN
ejpam-6749	626	27	approximations	approximation	NOUN
ejpam-6749	626	28	remain	remain	VERB
ejpam-6749	626	29	accurate	accurate	ADJ
ejpam-6749	626	30	:	:	PUNCT
ejpam-6749	626	31	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6749	626	32	xj	xj	PROPN
ejpam-6749	626	33	−xj	−xj	PROPN
ejpam-6749	626	34	,	,	PUNCT
ejpam-6749	626	35	nom	nom	PROPN
ejpam-6749	626	36	xj	xj	PROPN
ejpam-6749	626	37	,	,	PUNCT
ejpam-6749	626	38	nom	nom	PROPN
ejpam-6749	626	39	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6749	626	40	≪	≪	VERB
ejpam-6749	626	41	1	1	NUM
ejpam-6749	626	42	for	for	ADP
ejpam-6749	626	43	xj	xj	PROPN
ejpam-6749	626	44	∈	∈	PROPN
ejpam-6749	626	45	{	{	PUNCT
ejpam-6749	626	46	ϕ	ϕ	PROPN
ejpam-6749	626	47	,	,	PUNCT
ejpam-6749	626	48	δ	δ	PROPN
ejpam-6749	626	49	,	,	PUNCT
ejpam-6749	626	50	µ	µ	NUM
ejpam-6749	626	51	,	,	PUNCT
ejpam-6749	626	52	γ	γ	NOUN
ejpam-6749	626	53	}	}	PUNCT
ejpam-6749	626	54	assumption	assumption	NOUN
ejpam-6749	626	55	2	2	NUM
ejpam-6749	626	56	(	(	PUNCT
ejpam-6749	626	57	log	log	NOUN
ejpam-6749	626	58	-	-	PUNCT
ejpam-6749	626	59	normal	normal	ADJ
ejpam-6749	626	60	parameter	parameter	NOUN
ejpam-6749	626	61	distribution	distribution	NOUN
ejpam-6749	626	62	)	)	PUNCT
ejpam-6749	626	63	.	.	PUNCT
ejpam-6749	627	1	all	all	DET
ejpam-6749	627	2	parameters	parameter	NOUN
ejpam-6749	627	3	follow	follow	VERB
ejpam-6749	627	4	independent	independent	ADJ
ejpam-6749	627	5	log	log	NOUN
ejpam-6749	627	6	-	-	PUNCT
ejpam-6749	627	7	normal	normal	ADJ
ejpam-6749	627	8	distributions	distribution	NOUN
ejpam-6749	627	9	:	:	PUNCT
ejpam-6749	627	10	lnxj	lnxj	NOUN
ejpam-6749	627	11	∼	∼	NOUN
ejpam-6749	627	12	n	n	CCONJ
ejpam-6749	627	13	(	(	PUNCT
ejpam-6749	627	14	ln	ln	PROPN
ejpam-6749	627	15	aj	aj	PROPN
ejpam-6749	627	16	,	,	PUNCT
ejpam-6749	627	17	σ	σ	PROPN
ejpam-6749	627	18	2	2	NUM
ejpam-6749	627	19	j	j	NOUN
ejpam-6749	627	20	)	)	PUNCT
ejpam-6749	627	21	where	where	SCONJ
ejpam-6749	627	22	aj	aj	PROPN
ejpam-6749	627	23	represents	represent	VERB
ejpam-6749	627	24	the	the	DET
ejpam-6749	627	25	nominal	nominal	ADJ
ejpam-6749	627	26	value	value	NOUN
ejpam-6749	627	27	and	and	CCONJ
ejpam-6749	627	28	σ2	σ2	PROPN
ejpam-6749	627	29	j	j	PROPN
ejpam-6749	627	30	controls	control	VERB
ejpam-6749	627	31	the	the	DET
ejpam-6749	627	32	variance	variance	NOUN
ejpam-6749	627	33	.	.	PUNCT
ejpam-6749	628	1	theorem	theorem	ADJ
ejpam-6749	628	2	13	13	NUM
ejpam-6749	628	3	(	(	PUNCT
ejpam-6749	628	4	approximate	approximate	ADJ
ejpam-6749	628	5	no	no	DET
ejpam-6749	628	6	-	-	PUNCT
ejpam-6749	628	7	interaction	interaction	NOUN
ejpam-6749	628	8	for	for	ADP
ejpam-6749	628	9	r0	r0	NOUN
ejpam-6749	628	10	)	)	PUNCT
ejpam-6749	628	11	.	.	PUNCT
ejpam-6749	629	1	under	under	ADP
ejpam-6749	629	2	assumptions	assumption	NOUN
ejpam-6749	629	3	1	1	NUM
ejpam-6749	629	4	and	and	CCONJ
ejpam-6749	629	5	2	2	NUM
ejpam-6749	629	6	,	,	PUNCT
ejpam-6749	629	7	and	and	CCONJ
ejpam-6749	629	8	employing	employ	VERB
ejpam-6749	629	9	first	first	ADJ
ejpam-6749	629	10	-	-	PUNCT
ejpam-6749	629	11	order	order	NOUN
ejpam-6749	629	12	delta	delta	NOUN
ejpam-6749	629	13	method	method	NOUN
ejpam-6749	629	14	approximations	approximation	NOUN
ejpam-6749	629	15	for	for	ADP
ejpam-6749	629	16	composite	composite	ADJ
ejpam-6749	629	17	terms	term	NOUN
ejpam-6749	629	18	,	,	PUNCT
ejpam-6749	629	19	all	all	DET
ejpam-6749	629	20	second	second	ADJ
ejpam-6749	629	21	-	-	PUNCT
ejpam-6749	629	22	order	order	NOUN
ejpam-6749	629	23	and	and	CCONJ
ejpam-6749	629	24	higher	high	ADJ
ejpam-6749	629	25	-	-	PUNCT
ejpam-6749	629	26	order	order	NOUN
ejpam-6749	629	27	sobol	sobol	NOUN
ejpam-6749	629	28	indices	indice	VERB
ejpam-6749	629	29	for	for	ADP
ejpam-6749	629	30	r0	r0	NOUN
ejpam-6749	629	31	are	be	AUX
ejpam-6749	629	32	approximately	approximately	ADV
ejpam-6749	629	33	zero	zero	NUM
ejpam-6749	629	34	:	:	PUNCT
ejpam-6749	629	35	sij	sij	PROPN
ejpam-6749	630	1	≈	≈	PROPN
ejpam-6749	630	2	0	0	PROPN
ejpam-6749	630	3	,	,	PUNCT
ejpam-6749	630	4	sijk	sijk	NOUN
ejpam-6749	630	5	≈	≈	PROPN
ejpam-6749	630	6	0	0	NUM
ejpam-6749	630	7	,	,	PUNCT
ejpam-6749	630	8	.	.	PUNCT
ejpam-6749	630	9	.	.	PUNCT
ejpam-6749	631	1	.	.	PUNCT
ejpam-6749	632	1	for	for	ADP
ejpam-6749	632	2	all	all	DET
ejpam-6749	632	3	distinct	distinct	ADJ
ejpam-6749	632	4	parameter	parameter	NOUN
ejpam-6749	632	5	combinations	combination	NOUN
ejpam-6749	632	6	,	,	PUNCT
ejpam-6749	632	7	with	with	ADP
ejpam-6749	632	8	approximation	approximation	NOUN
ejpam-6749	632	9	error	error	NOUN
ejpam-6749	632	10	of	of	ADP
ejpam-6749	632	11	order	order	NOUN
ejpam-6749	632	12	o(σ2	o(σ2	ADJ
ejpam-6749	632	13	)	)	PUNCT
ejpam-6749	632	14	where	where	SCONJ
ejpam-6749	632	15	σ	σ	NOUN
ejpam-6749	632	16	represents	represent	VERB
ejpam-6749	632	17	the	the	DET
ejpam-6749	632	18	maximum	maximum	ADJ
ejpam-6749	632	19	relative	relative	ADJ
ejpam-6749	632	20	standard	standard	ADJ
ejpam-6749	632	21	deviation	deviation	NOUN
ejpam-6749	632	22	of	of	ADP
ejpam-6749	632	23	the	the	DET
ejpam-6749	632	24	parameters	parameter	NOUN
ejpam-6749	632	25	.	.	PUNCT
ejpam-6749	633	1	proof	proof	NOUN
ejpam-6749	633	2	.	.	PUNCT
ejpam-6749	634	1	the	the	DET
ejpam-6749	634	2	absence	absence	NOUN
ejpam-6749	634	3	of	of	ADP
ejpam-6749	634	4	interaction	interaction	NOUN
ejpam-6749	634	5	effects	effect	NOUN
ejpam-6749	634	6	follows	follow	VERB
ejpam-6749	634	7	directly	directly	ADV
ejpam-6749	634	8	from	from	ADP
ejpam-6749	634	9	the	the	DET
ejpam-6749	634	10	additive	additive	ADJ
ejpam-6749	634	11	structure	structure	NOUN
ejpam-6749	634	12	of	of	ADP
ejpam-6749	634	13	lnr0	lnr0	PROPN
ejpam-6749	634	14	in	in	ADP
ejpam-6749	634	15	the	the	DET
ejpam-6749	634	16	logarithmic	logarithmic	ADJ
ejpam-6749	634	17	parameter	parameter	NOUN
ejpam-6749	634	18	space	space	NOUN
ejpam-6749	634	19	,	,	PUNCT
ejpam-6749	634	20	a	a	DET
ejpam-6749	634	21	property	property	NOUN
ejpam-6749	634	22	that	that	PRON
ejpam-6749	634	23	has	have	AUX
ejpam-6749	634	24	been	be	AUX
ejpam-6749	634	25	extensively	extensively	ADV
ejpam-6749	634	26	studied	study	VERB
ejpam-6749	634	27	in	in	ADP
ejpam-6749	634	28	the	the	DET
ejpam-6749	634	29	context	context	NOUN
ejpam-6749	634	30	of	of	ADP
ejpam-6749	634	31	multiplicative	multiplicative	ADJ
ejpam-6749	634	32	models	model	NOUN
ejpam-6749	634	33	by	by	ADP
ejpam-6749	634	34	homma	homma	PROPN
ejpam-6749	634	35	and	and	CCONJ
ejpam-6749	634	36	saltelli	saltelli	PROPN
ejpam-6749	635	1	[	[	X
ejpam-6749	635	2	81	81	NUM
ejpam-6749	635	3	]	]	PUNCT
ejpam-6749	635	4	.	.	PUNCT
ejpam-6749	636	1	from	from	ADP
ejpam-6749	636	2	the	the	DET
ejpam-6749	636	3	analytical	analytical	ADJ
ejpam-6749	636	4	expression	expression	NOUN
ejpam-6749	636	5	derived	derive	VERB
ejpam-6749	636	6	in	in	ADP
ejpam-6749	636	7	12	12	NUM
ejpam-6749	636	8	,	,	PUNCT
ejpam-6749	636	9	we	we	PRON
ejpam-6749	636	10	have	have	AUX
ejpam-6749	636	11	shown	show	VERB
ejpam-6749	636	12	that	that	SCONJ
ejpam-6749	636	13	:	:	PUNCT
ejpam-6749	637	1	lnr0	lnr0	PROPN
ejpam-6749	637	2	≈	≈	PROPN
ejpam-6749	637	3	∑k	∑k	PROPN
ejpam-6749	637	4	j=1	j=1	PROPN
ejpam-6749	637	5	cj	cj	NOUN
ejpam-6749	638	1	lnxj+	lnxj+	ADV
ejpam-6749	638	2	constant	constant	ADJ
ejpam-6749	638	3	where	where	SCONJ
ejpam-6749	638	4	the	the	DET
ejpam-6749	638	5	coefficients	coefficient	NOUN
ejpam-6749	638	6	cj	cj	X
ejpam-6749	638	7	=	=	SYM
ejpam-6749	638	8	∂	∂	NUM
ejpam-6749	638	9	lnr0	lnr0	PROPN
ejpam-6749	638	10	∂	∂	ADJ
ejpam-6749	638	11	lnxj	lnxj	NOUN
ejpam-6749	638	12	are	be	AUX
ejpam-6749	638	13	the	the	DET
ejpam-6749	638	14	logarithmic	logarithmic	ADJ
ejpam-6749	638	15	sensitivity	sensitivity	NOUN
ejpam-6749	638	16	coefficients	coefficient	NOUN
ejpam-6749	638	17	computed	compute	VERB
ejpam-6749	638	18	explicitly	explicitly	ADV
ejpam-6749	638	19	above	above	ADV
ejpam-6749	638	20	.	.	PUNCT
ejpam-6749	639	1	this	this	DET
ejpam-6749	639	2	linear	linear	ADJ
ejpam-6749	639	3	additivity	additivity	NOUN
ejpam-6749	639	4	in	in	ADP
ejpam-6749	639	5	the	the	DET
ejpam-6749	639	6	logarithmic	logarithmic	ADJ
ejpam-6749	639	7	space	space	NOUN
ejpam-6749	639	8	implies	imply	VERB
ejpam-6749	639	9	that	that	SCONJ
ejpam-6749	639	10	all	all	DET
ejpam-6749	639	11	mixed	mixed	ADJ
ejpam-6749	639	12	partial	partial	ADJ
ejpam-6749	639	13	derivatives	derivative	NOUN
ejpam-6749	639	14	vanish	vanish	VERB
ejpam-6749	639	15	:	:	PUNCT
ejpam-6749	640	1	∂2	∂2	PROPN
ejpam-6749	640	2	lnr0	lnr0	PROPN
ejpam-6749	640	3	∂	∂	PUNCT
ejpam-6749	640	4	lnxi∂	lnxi∂	PROPN
ejpam-6749	640	5	lnxj	lnxj	NOUN
ejpam-6749	640	6	=	=	PUNCT
ejpam-6749	640	7	0	0	NUM
ejpam-6749	640	8	for	for	ADP
ejpam-6749	640	9	all	all	PRON
ejpam-6749	640	10	i	i	PRON
ejpam-6749	640	11	̸=	̸=	PROPN
ejpam-6749	640	12	j.	j.	PROPN
ejpam-6749	640	13	following	follow	VERB
ejpam-6749	640	14	the	the	DET
ejpam-6749	640	15	general	general	ADJ
ejpam-6749	640	16	theory	theory	NOUN
ejpam-6749	640	17	of	of	ADP
ejpam-6749	640	18	anova	anova	PROPN
ejpam-6749	640	19	decompositions	decomposition	NOUN
ejpam-6749	640	20	for	for	ADP
ejpam-6749	640	21	additive	additive	ADJ
ejpam-6749	640	22	functions	function	NOUN
ejpam-6749	640	23	developed	develop	VERB
ejpam-6749	640	24	by	by	ADP
ejpam-6749	640	25	sobol	sobol	NOUN
ejpam-6749	641	1	[	[	X
ejpam-6749	641	2	65	65	NUM
ejpam-6749	641	3	]	]	X
ejpam-6749	641	4	,	,	PUNCT
ejpam-6749	641	5	when	when	SCONJ
ejpam-6749	641	6	a	a	DET
ejpam-6749	641	7	function	function	NOUN
ejpam-6749	641	8	is	be	AUX
ejpam-6749	641	9	additive	additive	ADJ
ejpam-6749	641	10	in	in	ADP
ejpam-6749	641	11	its	its	PRON
ejpam-6749	641	12	arguments	argument	NOUN
ejpam-6749	641	13	(	(	PUNCT
ejpam-6749	641	14	after	after	ADP
ejpam-6749	641	15	appropriate	appropriate	ADJ
ejpam-6749	641	16	transformation	transformation	NOUN
ejpam-6749	641	17	)	)	PUNCT
ejpam-6749	641	18	,	,	PUNCT
ejpam-6749	641	19	all	all	DET
ejpam-6749	641	20	interaction	interaction	NOUN
ejpam-6749	641	21	terms	term	NOUN
ejpam-6749	641	22	in	in	ADP
ejpam-6749	641	23	the	the	DET
ejpam-6749	641	24	functional	functional	ADJ
ejpam-6749	641	25	anova	anova	PROPN
ejpam-6749	641	26	decomposition	decomposition	NOUN
ejpam-6749	641	27	are	be	AUX
ejpam-6749	641	28	identically	identically	ADV
ejpam-6749	641	29	zero	zero	NUM
ejpam-6749	641	30	.	.	PUNCT
ejpam-6749	642	1	even	even	ADV
ejpam-6749	642	2	though	though	SCONJ
ejpam-6749	642	3	the	the	DET
ejpam-6749	642	4	parameter	parameter	PROPN
ejpam-6749	642	5	µ	µ	PROPN
ejpam-6749	642	6	appears	appear	VERB
ejpam-6749	642	7	in	in	ADP
ejpam-6749	642	8	multiple	multiple	ADJ
ejpam-6749	642	9	terms	term	NOUN
ejpam-6749	642	10	of	of	ADP
ejpam-6749	642	11	the	the	DET
ejpam-6749	642	12	original	original	ADJ
ejpam-6749	642	13	expression	expression	NOUN
ejpam-6749	642	14	for	for	ADP
ejpam-6749	642	15	r0	r0	NOUN
ejpam-6749	642	16	,	,	PUNCT
ejpam-6749	642	17	the	the	DET
ejpam-6749	642	18	logarithmic	logarithmic	ADJ
ejpam-6749	642	19	transformation	transformation	NOUN
ejpam-6749	642	20	reveals	reveal	VERB
ejpam-6749	642	21	that	that	SCONJ
ejpam-6749	642	22	its	its	PRON
ejpam-6749	642	23	effect	effect	NOUN
ejpam-6749	642	24	remains	remain	VERB
ejpam-6749	642	25	additive	additive	ADJ
ejpam-6749	642	26	.	.	PUNCT
ejpam-6749	643	1	the	the	DET
ejpam-6749	643	2	terms	term	NOUN
ejpam-6749	643	3	−	−	PROPN
ejpam-6749	643	4	µ	µ	X
ejpam-6749	643	5	φ+δ+µ	φ+δ+µ	NOUN
ejpam-6749	643	6	and	and	CCONJ
ejpam-6749	643	7	−	−	PROPN
ejpam-6749	643	8	µ	µ	X
ejpam-6749	643	9	µ+γ	µ+γ	NUM
ejpam-6749	643	10	in	in	ADP
ejpam-6749	643	11	the	the	DET
ejpam-6749	643	12	logarithmic	logarithmic	ADJ
ejpam-6749	643	13	sensitivity	sensitivity	NOUN
ejpam-6749	643	14	coefficient	coefficient	NOUN
ejpam-6749	643	15	for	for	SCONJ
ejpam-6749	643	16	µ	µ	PRON
ejpam-6749	643	17	combine	combine	VERB
ejpam-6749	643	18	linearly	linearly	ADV
ejpam-6749	643	19	,	,	PUNCT
ejpam-6749	643	20	preserving	preserve	VERB
ejpam-6749	643	21	the	the	DET
ejpam-6749	643	22	additive	additive	ADJ
ejpam-6749	643	23	structure	structure	NOUN
ejpam-6749	643	24	and	and	CCONJ
ejpam-6749	643	25	eliminating	eliminate	VERB
ejpam-6749	643	26	any	any	DET
ejpam-6749	643	27	potential	potential	ADJ
ejpam-6749	643	28	interactions	interaction	NOUN
ejpam-6749	643	29	.	.	PUNCT
ejpam-6749	644	1	this	this	DET
ejpam-6749	644	2	remarkable	remarkable	ADJ
ejpam-6749	644	3	property	property	NOUN
ejpam-6749	644	4	,	,	PUNCT
ejpam-6749	644	5	characteristic	characteristic	ADJ
ejpam-6749	644	6	of	of	ADP
ejpam-6749	644	7	multiplicative	multiplicative	ADJ
ejpam-6749	644	8	models	model	NOUN
ejpam-6749	644	9	in	in	ADP
ejpam-6749	644	10	logarithmic	logarithmic	ADJ
ejpam-6749	644	11	coordinates	coordinate	NOUN
ejpam-6749	644	12	,	,	PUNCT
ejpam-6749	644	13	simplifies	simplify	VERB
ejpam-6749	644	14	both	both	CCONJ
ejpam-6749	644	15	the	the	DET
ejpam-6749	644	16	theoretical	theoretical	ADJ
ejpam-6749	644	17	analysis	analysis	NOUN
ejpam-6749	644	18	and	and	CCONJ
ejpam-6749	644	19	practical	practical	ADJ
ejpam-6749	644	20	computation	computation	NOUN
ejpam-6749	644	21	of	of	ADP
ejpam-6749	644	22	sensitivity	sensitivity	NOUN
ejpam-6749	644	23	m.	m.	NOUN
ejpam-6749	644	24	zorom	zorom	NOUN
ejpam-6749	644	25	et	et	PROPN
ejpam-6749	644	26	al	al	PROPN
ejpam-6749	644	27	.	.	PUNCT
ejpam-6749	644	28	/	/	SYM
ejpam-6749	644	29	eur	eur	PROPN
ejpam-6749	644	30	.	.	PUNCT
ejpam-6749	645	1	j.	j.	PROPN
ejpam-6749	645	2	pure	pure	PROPN
ejpam-6749	645	3	appl	appl	PROPN
ejpam-6749	645	4	.	.	PROPN
ejpam-6749	645	5	math	math	PROPN
ejpam-6749	645	6	,	,	PUNCT
ejpam-6749	645	7	18	18	NUM
ejpam-6749	645	8	(	(	PUNCT
ejpam-6749	645	9	4	4	NUM
ejpam-6749	645	10	)	)	PUNCT
ejpam-6749	645	11	(	(	PUNCT
ejpam-6749	645	12	2025	2025	NUM
ejpam-6749	645	13	)	)	PUNCT
ejpam-6749	645	14	,	,	PUNCT
ejpam-6749	645	15	6749	6749	NUM
ejpam-6749	645	16	29	29	NUM
ejpam-6749	645	17	of	of	ADP
ejpam-6749	645	18	47	47	NUM
ejpam-6749	645	19	indices	index	NOUN
ejpam-6749	645	20	.	.	PUNCT
ejpam-6749	646	1	the	the	DET
ejpam-6749	646	2	absence	absence	NOUN
ejpam-6749	646	3	of	of	ADP
ejpam-6749	646	4	interactions	interaction	NOUN
ejpam-6749	646	5	means	mean	VERB
ejpam-6749	646	6	that	that	SCONJ
ejpam-6749	646	7	the	the	DET
ejpam-6749	646	8	functional	functional	ADJ
ejpam-6749	646	9	anova	anova	PROPN
ejpam-6749	646	10	decomposition	decomposition	NOUN
ejpam-6749	646	11	reduces	reduce	VERB
ejpam-6749	646	12	to	to	ADP
ejpam-6749	646	13	:	:	PUNCT
ejpam-6749	647	1	lnr0	lnr0	PROPN
ejpam-6749	647	2	=	=	SYM
ejpam-6749	647	3	f0	f0	PROPN
ejpam-6749	648	1	+	+	PROPN
ejpam-6749	649	1	∑k	∑k	PROPN
ejpam-6749	649	2	j=1	j=1	PROPN
ejpam-6749	649	3	fj(lnxj	fj(lnxj	PROPN
ejpam-6749	649	4	)	)	PUNCT
ejpam-6749	649	5	,	,	PUNCT
ejpam-6749	649	6	with	with	ADP
ejpam-6749	649	7	all	all	DET
ejpam-6749	649	8	higher	high	ADJ
ejpam-6749	649	9	-	-	PUNCT
ejpam-6749	649	10	order	order	NOUN
ejpam-6749	649	11	terms	term	NOUN
ejpam-6749	649	12	fij	fij	PROPN
ejpam-6749	649	13	,	,	PUNCT
ejpam-6749	649	14	fijk	fijk	PROPN
ejpam-6749	649	15	,	,	PUNCT
ejpam-6749	649	16	.	.	PUNCT
ejpam-6749	649	17	.	.	PUNCT
ejpam-6749	649	18	.	.	PUNCT
ejpam-6749	650	1	being	be	AUX
ejpam-6749	650	2	identically	identically	ADV
ejpam-6749	650	3	zero	zero	NUM
ejpam-6749	650	4	.	.	PUNCT
ejpam-6749	651	1	we	we	PRON
ejpam-6749	651	2	proof	proof	VERB
ejpam-6749	651	3	that	that	SCONJ
ejpam-6749	651	4	total	total	ADJ
ejpam-6749	651	5	-	-	PUNCT
ejpam-6749	651	6	order	order	NOUN
ejpam-6749	651	7	equals	equal	VERB
ejpam-6749	651	8	first	first	ADJ
ejpam-6749	651	9	-	-	PUNCT
ejpam-6749	651	10	order	order	NOUN
ejpam-6749	651	11	indices	index	NOUN
ejpam-6749	651	12	.	.	PUNCT
ejpam-6749	652	1	corollary	corollary	ADJ
ejpam-6749	652	2	1	1	NUM
ejpam-6749	652	3	.	.	PUNCT
ejpam-6749	653	1	for	for	ADP
ejpam-6749	653	2	the	the	DET
ejpam-6749	653	3	basic	basic	ADJ
ejpam-6749	653	4	reproduction	reproduction	NOUN
ejpam-6749	653	5	number	number	NOUN
ejpam-6749	653	6	,	,	PUNCT
ejpam-6749	653	7	total	total	ADJ
ejpam-6749	653	8	-	-	PUNCT
ejpam-6749	653	9	order	order	NOUN
ejpam-6749	653	10	sobol	sobol	NOUN
ejpam-6749	653	11	indices	indice	VERB
ejpam-6749	653	12	equal	equal	ADJ
ejpam-6749	653	13	first	first	ADJ
ejpam-6749	653	14	-	-	PUNCT
ejpam-6749	653	15	order	order	NOUN
ejpam-6749	653	16	indices	index	NOUN
ejpam-6749	653	17	:	:	PUNCT
ejpam-6749	654	1	st	st	PROPN
ejpam-6749	654	2	i	i	PROPN
ejpam-6749	654	3	=	=	PUNCT
ejpam-6749	654	4	si	si	X
ejpam-6749	654	5	for	for	ADP
ejpam-6749	654	6	all	all	DET
ejpam-6749	654	7	parameters	parameter	NOUN
ejpam-6749	654	8	xi	xi	PROPN
ejpam-6749	654	9	.	.	PUNCT
ejpam-6749	655	1	proof	proof	NOUN
ejpam-6749	655	2	.	.	PUNCT
ejpam-6749	656	1	since	since	SCONJ
ejpam-6749	656	2	all	all	DET
ejpam-6749	656	3	interaction	interaction	NOUN
ejpam-6749	656	4	terms	term	NOUN
ejpam-6749	656	5	vanish	vanish	VERB
ejpam-6749	656	6	by	by	ADP
ejpam-6749	656	7	13	13	NUM
ejpam-6749	656	8	,	,	PUNCT
ejpam-6749	656	9	the	the	DET
ejpam-6749	656	10	total	total	ADJ
ejpam-6749	656	11	-	-	PUNCT
ejpam-6749	656	12	order	order	NOUN
ejpam-6749	656	13	index	index	NOUN
ejpam-6749	656	14	definition	definition	NOUN
ejpam-6749	656	15	reduces	reduce	VERB
ejpam-6749	656	16	to	to	PART
ejpam-6749	656	17	:	:	PUNCT
ejpam-6749	656	18	st	st	PROPN
ejpam-6749	657	1	i	i	NOUN
ejpam-6749	657	2	=	=	PUNCT
ejpam-6749	657	3	si	si	PROPN
ejpam-6749	658	1	+	+	CCONJ
ejpam-6749	658	2	∑	∑	PROPN
ejpam-6749	658	3	j	j	PROPN
ejpam-6749	658	4	̸=i	̸=i	PROPN
ejpam-6749	658	5	sij	sij	PROPN
ejpam-6749	658	6	+	+	CCONJ
ejpam-6749	658	7	∑	∑	PROPN
ejpam-6749	658	8	j	j	PROPN
ejpam-6749	658	9	̸=i	̸=i	PROPN
ejpam-6749	658	10	,	,	PUNCT
ejpam-6749	658	11	k	k	PROPN
ejpam-6749	658	12	̸=i	̸=i	PROPN
ejpam-6749	658	13	,	,	PUNCT
ejpam-6749	658	14	k	k	PROPN
ejpam-6749	658	15	̸=j	̸=j	PROPN
ejpam-6749	658	16	sijk	sijk	X
ejpam-6749	658	17	+	+	X
ejpam-6749	658	18	·	·	PUNCT
ejpam-6749	658	19	·	·	PUNCT
ejpam-6749	658	20	·	·	PUNCT
ejpam-6749	659	1	=	=	SYM
ejpam-6749	659	2	si	si	X
ejpam-6749	660	1	+	+	CCONJ
ejpam-6749	660	2	0	0	NUM
ejpam-6749	661	1	+	+	CCONJ
ejpam-6749	661	2	0	0	NUM
ejpam-6749	662	1	+	+	CCONJ
ejpam-6749	662	2	·	·	PUNCT
ejpam-6749	662	3	·	·	PUNCT
ejpam-6749	662	4	·	·	PUNCT
ejpam-6749	663	1	=	=	SYM
ejpam-6749	663	2	si	si	X
ejpam-6749	663	3	.	.	PROPN
ejpam-6749	663	4	8.3	8.3	NUM
ejpam-6749	663	5	.	.	PUNCT
ejpam-6749	664	1	computational	computational	ADJ
ejpam-6749	664	2	algorithms	algorithm	NOUN
ejpam-6749	664	3	and	and	CCONJ
ejpam-6749	664	4	convergence	convergence	NOUN
ejpam-6749	664	5	theory	theory	NOUN
ejpam-6749	664	6	while	while	SCONJ
ejpam-6749	664	7	analytical	analytical	ADJ
ejpam-6749	664	8	results	result	NOUN
ejpam-6749	664	9	are	be	AUX
ejpam-6749	664	10	available	available	ADJ
ejpam-6749	664	11	for	for	ADP
ejpam-6749	664	12	r0	r0	NOUN
ejpam-6749	664	13	,	,	PUNCT
ejpam-6749	664	14	computational	computational	ADJ
ejpam-6749	664	15	methods	method	NOUN
ejpam-6749	664	16	are	be	AUX
ejpam-6749	664	17	essential	essential	ADJ
ejpam-6749	664	18	for	for	ADP
ejpam-6749	664	19	complex	complex	ADJ
ejpam-6749	664	20	model	model	NOUN
ejpam-6749	664	21	outputs	output	NOUN
ejpam-6749	664	22	such	such	ADJ
ejpam-6749	664	23	as	as	ADP
ejpam-6749	664	24	endemic	endemic	ADJ
ejpam-6749	664	25	equilibrium	equilibrium	NOUN
ejpam-6749	664	26	values	value	NOUN
ejpam-6749	664	27	and	and	CCONJ
ejpam-6749	664	28	transient	transient	ADJ
ejpam-6749	664	29	dynamics	dynamic	NOUN
ejpam-6749	664	30	.	.	PUNCT
ejpam-6749	665	1	we	we	PRON
ejpam-6749	665	2	present	present	VERB
ejpam-6749	665	3	the	the	DET
ejpam-6749	665	4	theoretical	theoretical	ADJ
ejpam-6749	665	5	foundations	foundation	NOUN
ejpam-6749	665	6	of	of	ADP
ejpam-6749	665	7	monte	monte	PROPN
ejpam-6749	665	8	carlo	carlo	PROPN
ejpam-6749	665	9	estimators	estimator	NOUN
ejpam-6749	665	10	following	follow	VERB
ejpam-6749	665	11	the	the	DET
ejpam-6749	665	12	comprehensive	comprehensive	ADJ
ejpam-6749	665	13	analysis	analysis	NOUN
ejpam-6749	665	14	by	by	ADP
ejpam-6749	665	15	janon	janon	PROPN
ejpam-6749	665	16	et	et	PROPN
ejpam-6749	665	17	al	al	PROPN
ejpam-6749	665	18	.	.	PUNCT
ejpam-6749	666	1	[	[	X
ejpam-6749	666	2	82	82	NUM
ejpam-6749	666	3	]	]	PUNCT
ejpam-6749	666	4	.	.	PUNCT
ejpam-6749	667	1	we	we	PRON
ejpam-6749	667	2	proof	proof	VERB
ejpam-6749	667	3	the	the	DET
ejpam-6749	667	4	theorem	theorem	NOUN
ejpam-6749	667	5	of	of	ADP
ejpam-6749	667	6	saltelli	saltelli	PROPN
ejpam-6749	667	7	estimator	estimator	NOUN
ejpam-6749	667	8	properties	property	NOUN
ejpam-6749	667	9	.	.	PUNCT
ejpam-6749	668	1	theorem	theorem	VERB
ejpam-6749	668	2	14	14	NUM
ejpam-6749	668	3	.	.	PUNCT
ejpam-6749	669	1	the	the	DET
ejpam-6749	669	2	saltelli	saltelli	PROPN
ejpam-6749	669	3	estimator	estimator	NOUN
ejpam-6749	669	4	for	for	ADP
ejpam-6749	669	5	first	first	ADJ
ejpam-6749	669	6	-	-	PUNCT
ejpam-6749	669	7	order	order	NOUN
ejpam-6749	669	8	sobol	sobol	NOUN
ejpam-6749	669	9	indices	index	NOUN
ejpam-6749	669	10	,	,	PUNCT
ejpam-6749	669	11	developed	develop	VERB
ejpam-6749	669	12	by	by	ADP
ejpam-6749	669	13	saltelli	saltelli	PROPN
ejpam-6749	669	14	[	[	X
ejpam-6749	669	15	83	83	NUM
ejpam-6749	669	16	]	]	PUNCT
ejpam-6749	669	17	,	,	PUNCT
ejpam-6749	669	18	is	be	AUX
ejpam-6749	669	19	given	give	VERB
ejpam-6749	669	20	by	by	ADP
ejpam-6749	669	21	ŝ	ŝ	NOUN
ejpam-6749	669	22	(	(	PUNCT
ejpam-6749	669	23	n	n	CCONJ
ejpam-6749	669	24	)	)	PUNCT
ejpam-6749	670	1	i	i	NOUN
ejpam-6749	670	2	=	=	NOUN
ejpam-6749	671	1	1	1	NUM
ejpam-6749	671	2	n	n	PRON
ejpam-6749	671	3	∑n	∑n	PROPN
ejpam-6749	671	4	j=1	j=1	ADJ
ejpam-6749	671	5	f(a	f(a	PROPN
ejpam-6749	671	6	(	(	PUNCT
ejpam-6749	671	7	j))[f(a	j))[f(a	PROPN
ejpam-6749	671	8	(	(	PUNCT
ejpam-6749	671	9	i	i	PROPN
ejpam-6749	671	10	,	,	PUNCT
ejpam-6749	671	11	j	j	PROPN
ejpam-6749	671	12	)	)	PUNCT
ejpam-6749	671	13	b	b	PROPN
ejpam-6749	671	14	)	)	PUNCT
ejpam-6749	671	15	−f(b(j	−f(b(j	PROPN
ejpam-6749	671	16	)	)	PUNCT
ejpam-6749	671	17	)	)	PUNCT
ejpam-6749	671	18	]	]	PUNCT
ejpam-6749	672	1	σ̂2	σ̂2	PROPN
ejpam-6749	672	2	where	where	SCONJ
ejpam-6749	672	3	σ̂2	σ̂2	PROPN
ejpam-6749	672	4	is	be	AUX
ejpam-6749	672	5	the	the	DET
ejpam-6749	672	6	sample	sample	NOUN
ejpam-6749	672	7	variance	variance	NOUN
ejpam-6749	672	8	estimator	estimator	NOUN
ejpam-6749	672	9	.	.	PUNCT
ejpam-6749	673	1	this	this	DET
ejpam-6749	673	2	estimator	estimator	NOUN
ejpam-6749	673	3	is	be	AUX
ejpam-6749	673	4	asymptotically	asymptotically	ADV
ejpam-6749	673	5	unbiased	unbiased	ADJ
ejpam-6749	673	6	and	and	CCONJ
ejpam-6749	673	7	converges	converge	NOUN
ejpam-6749	673	8	with	with	ADP
ejpam-6749	673	9	rate	rate	NOUN
ejpam-6749	673	10	o(n−1/2	o(n−1/2	PROPN
ejpam-6749	673	11	)	)	PUNCT
ejpam-6749	673	12	where	where	SCONJ
ejpam-6749	673	13	n	n	PRON
ejpam-6749	673	14	is	be	AUX
ejpam-6749	673	15	the	the	DET
ejpam-6749	673	16	sample	sample	NOUN
ejpam-6749	673	17	size	size	NOUN
ejpam-6749	673	18	.	.	PUNCT
ejpam-6749	674	1	proof	proof	NOUN
ejpam-6749	674	2	.	.	PUNCT
ejpam-6749	675	1	the	the	DET
ejpam-6749	675	2	proof	proof	NOUN
ejpam-6749	675	3	establishes	establish	VERB
ejpam-6749	675	4	both	both	CCONJ
ejpam-6749	675	5	asymptotic	asymptotic	ADJ
ejpam-6749	675	6	unbiasedness	unbiasedness	NOUN
ejpam-6749	675	7	and	and	CCONJ
ejpam-6749	675	8	convergence	convergence	NOUN
ejpam-6749	675	9	rate	rate	NOUN
ejpam-6749	675	10	using	use	VERB
ejpam-6749	675	11	classical	classical	ADJ
ejpam-6749	675	12	results	result	NOUN
ejpam-6749	675	13	from	from	ADP
ejpam-6749	675	14	empirical	empirical	ADJ
ejpam-6749	675	15	process	process	NOUN
ejpam-6749	675	16	theory	theory	NOUN
ejpam-6749	675	17	as	as	SCONJ
ejpam-6749	675	18	developed	develop	VERB
ejpam-6749	675	19	by	by	ADP
ejpam-6749	675	20	van	van	PROPN
ejpam-6749	675	21	der	der	PROPN
ejpam-6749	675	22	vaart	vaart	PROPN
ejpam-6749	675	23	and	and	CCONJ
ejpam-6749	675	24	wellner	wellner	NOUN
ejpam-6749	676	1	[	[	X
ejpam-6749	676	2	84	84	NUM
ejpam-6749	676	3	]	]	PUNCT
ejpam-6749	676	4	,	,	PUNCT
ejpam-6749	676	5	combined	combine	VERB
ejpam-6749	676	6	with	with	ADP
ejpam-6749	676	7	the	the	DET
ejpam-6749	676	8	central	central	ADJ
ejpam-6749	676	9	limit	limit	NOUN
ejpam-6749	676	10	theorem	theorem	VERB
ejpam-6749	676	11	for	for	ADP
ejpam-6749	676	12	u	u	NOUN
ejpam-6749	676	13	-statistics	-statistic	NOUN
ejpam-6749	676	14	following	follow	VERB
ejpam-6749	676	15	hoeffding	hoeffde	VERB
ejpam-6749	676	16	[	[	X
ejpam-6749	676	17	73	73	NUM
ejpam-6749	676	18	]	]	PUNCT
ejpam-6749	676	19	.	.	PUNCT
ejpam-6749	677	1	for	for	ADP
ejpam-6749	677	2	the	the	DET
ejpam-6749	677	3	unbiasedness	unbiasedness	ADJ
ejpam-6749	677	4	property	property	NOUN
ejpam-6749	677	5	,	,	PUNCT
ejpam-6749	677	6	we	we	PRON
ejpam-6749	677	7	analyze	analyze	VERB
ejpam-6749	677	8	the	the	DET
ejpam-6749	677	9	expectation	expectation	NOUN
ejpam-6749	677	10	of	of	ADP
ejpam-6749	677	11	the	the	DET
ejpam-6749	677	12	numerator	numerator	NOUN
ejpam-6749	677	13	.	.	PUNCT
ejpam-6749	678	1	let	let	VERB
ejpam-6749	678	2	y	y	PROPN
ejpam-6749	678	3	=	=	SYM
ejpam-6749	678	4	f(a)[f(a	f(a)[f(a	PROPN
ejpam-6749	678	5	(	(	PUNCT
ejpam-6749	678	6	i	i	NOUN
ejpam-6749	678	7	)	)	PUNCT
ejpam-6749	678	8	b	b	PROPN
ejpam-6749	678	9	)	)	PUNCT
ejpam-6749	679	1	−	−	ADP
ejpam-6749	679	2	f(b	f(b	PROPN
ejpam-6749	679	3	)	)	PUNCT
ejpam-6749	679	4	]	]	PUNCT
ejpam-6749	679	5	where	where	SCONJ
ejpam-6749	679	6	a	a	PRON
ejpam-6749	679	7	and	and	CCONJ
ejpam-6749	679	8	b	b	NOUN
ejpam-6749	679	9	are	be	AUX
ejpam-6749	679	10	independent	independent	ADJ
ejpam-6749	679	11	random	random	ADJ
ejpam-6749	679	12	samples	sample	NOUN
ejpam-6749	679	13	from	from	ADP
ejpam-6749	679	14	the	the	DET
ejpam-6749	679	15	parameter	parameter	NOUN
ejpam-6749	679	16	distribution	distribution	NOUN
ejpam-6749	679	17	.	.	PUNCT
ejpam-6749	680	1	the	the	DET
ejpam-6749	680	2	key	key	ADJ
ejpam-6749	680	3	insight	insight	NOUN
ejpam-6749	680	4	,	,	PUNCT
ejpam-6749	680	5	established	establish	VERB
ejpam-6749	680	6	by	by	ADP
ejpam-6749	680	7	sobol	sobol	NOUN
ejpam-6749	680	8	[	[	X
ejpam-6749	680	9	65	65	NUM
ejpam-6749	680	10	]	]	PUNCT
ejpam-6749	680	11	,	,	PUNCT
ejpam-6749	680	12	is	be	AUX
ejpam-6749	680	13	that	that	SCONJ
ejpam-6749	680	14	this	this	DET
ejpam-6749	680	15	construction	construction	NOUN
ejpam-6749	680	16	yields	yield	NOUN
ejpam-6749	680	17	:	:	PUNCT
ejpam-6749	680	18	e[y	e[y	VERB
ejpam-6749	680	19	]	]	PUNCT
ejpam-6749	681	1	=	=	PUNCT
ejpam-6749	681	2	e[f(a)f(a	e[f(a)f(a	PROPN
ejpam-6749	681	3	(	(	PUNCT
ejpam-6749	681	4	i	i	NOUN
ejpam-6749	681	5	)	)	PUNCT
ejpam-6749	681	6	b	b	PROPN
ejpam-6749	681	7	)	)	PUNCT
ejpam-6749	681	8	]	]	PUNCT
ejpam-6749	681	9	−	−	PROPN
ejpam-6749	681	10	e[f(a)f(b	e[f(a)f(b	PROPN
ejpam-6749	681	11	)	)	PUNCT
ejpam-6749	681	12	]	]	PUNCT
ejpam-6749	681	13	.	.	PUNCT
ejpam-6749	682	1	sincea	sincea	PROPN
ejpam-6749	682	2	andb	andb	PROPN
ejpam-6749	682	3	are	be	AUX
ejpam-6749	682	4	independent	independent	ADJ
ejpam-6749	682	5	,	,	PUNCT
ejpam-6749	682	6	the	the	DET
ejpam-6749	682	7	second	second	ADJ
ejpam-6749	682	8	term	term	NOUN
ejpam-6749	682	9	becomes	become	VERB
ejpam-6749	682	10	:	:	PUNCT
ejpam-6749	682	11	e[f(a)f(b	e[f(a)f(b	PROPN
ejpam-6749	682	12	)	)	PUNCT
ejpam-6749	682	13	]	]	PUNCT
ejpam-6749	683	1	=	=	PUNCT
ejpam-6749	683	2	e[f(a)]e[f(b	e[f(a)]e[f(b	X
ejpam-6749	683	3	)	)	PUNCT
ejpam-6749	683	4	]	]	PUNCT
ejpam-6749	684	1	=	=	PUNCT
ejpam-6749	684	2	(	(	PUNCT
ejpam-6749	684	3	e[f	e[f	NUM
ejpam-6749	684	4	]	]	SYM
ejpam-6749	684	5	)	)	PUNCT
ejpam-6749	684	6	2	2	X
ejpam-6749	684	7	.	.	X
ejpam-6749	685	1	for	for	ADP
ejpam-6749	685	2	the	the	DET
ejpam-6749	685	3	first	first	ADJ
ejpam-6749	685	4	term	term	NOUN
ejpam-6749	685	5	,	,	PUNCT
ejpam-6749	685	6	the	the	DET
ejpam-6749	685	7	matrix	matrix	NOUN
ejpam-6749	685	8	a	a	DET
ejpam-6749	685	9	(	(	PUNCT
ejpam-6749	685	10	i	i	NOUN
ejpam-6749	685	11	)	)	PUNCT
ejpam-6749	685	12	b	b	PROPN
ejpam-6749	685	13	is	be	AUX
ejpam-6749	685	14	constructed	construct	VERB
ejpam-6749	685	15	by	by	ADP
ejpam-6749	685	16	replacing	replace	VERB
ejpam-6749	685	17	the	the	DET
ejpam-6749	685	18	i	i	PROPN
ejpam-6749	685	19	-	-	PUNCT
ejpam-6749	685	20	th	th	X
ejpam-6749	685	21	column	column	NOUN
ejpam-6749	685	22	of	of	ADP
ejpam-6749	685	23	a	a	PRON
ejpam-6749	685	24	with	with	ADP
ejpam-6749	685	25	the	the	DET
ejpam-6749	685	26	i	i	PROPN
ejpam-6749	685	27	-	-	PUNCT
ejpam-6749	685	28	th	th	X
ejpam-6749	685	29	column	column	NOUN
ejpam-6749	685	30	of	of	ADP
ejpam-6749	685	31	b.	b.	PROPN
ejpam-6749	685	32	this	this	DET
ejpam-6749	685	33	construction	construction	NOUN
ejpam-6749	685	34	ensures	ensure	VERB
ejpam-6749	685	35	that	that	SCONJ
ejpam-6749	685	36	a	a	DET
ejpam-6749	685	37	(	(	PUNCT
ejpam-6749	685	38	i	i	NOUN
ejpam-6749	685	39	)	)	PUNCT
ejpam-6749	685	40	b	b	PROPN
ejpam-6749	685	41	has	have	VERB
ejpam-6749	685	42	the	the	DET
ejpam-6749	685	43	same	same	ADJ
ejpam-6749	685	44	marginal	marginal	ADJ
ejpam-6749	685	45	distribution	distribution	NOUN
ejpam-6749	685	46	as	as	ADP
ejpam-6749	685	47	a	a	PRON
ejpam-6749	685	48	for	for	ADP
ejpam-6749	685	49	the	the	DET
ejpam-6749	685	50	i	i	PROPN
ejpam-6749	685	51	-	-	PUNCT
ejpam-6749	685	52	th	th	VERB
ejpam-6749	685	53	component	component	NOUN
ejpam-6749	685	54	while	while	SCONJ
ejpam-6749	685	55	maintaining	maintain	VERB
ejpam-6749	685	56	independence	independence	NOUN
ejpam-6749	685	57	in	in	ADP
ejpam-6749	685	58	other	other	ADJ
ejpam-6749	685	59	components	component	NOUN
ejpam-6749	685	60	.	.	PUNCT
ejpam-6749	686	1	following	follow	VERB
ejpam-6749	686	2	the	the	DET
ejpam-6749	686	3	analysis	analysis	NOUN
ejpam-6749	686	4	of	of	ADP
ejpam-6749	686	5	homma	homma	PROPN
ejpam-6749	686	6	and	and	CCONJ
ejpam-6749	686	7	saltelli	saltelli	VERB
ejpam-6749	686	8	[	[	X
ejpam-6749	686	9	81	81	NUM
ejpam-6749	686	10	]	]	PUNCT
ejpam-6749	686	11	,	,	PUNCT
ejpam-6749	686	12	this	this	DET
ejpam-6749	686	13	yields	yield	VERB
ejpam-6749	686	14	:	:	PUNCT
ejpam-6749	686	15	e[f(a)f(a	e[f(a)f(a	PROPN
ejpam-6749	686	16	(	(	PUNCT
ejpam-6749	686	17	i	i	NOUN
ejpam-6749	686	18	)	)	PUNCT
ejpam-6749	686	19	b	b	PROPN
ejpam-6749	686	20	)	)	PUNCT
ejpam-6749	686	21	]	]	PUNCT
ejpam-6749	687	1	=	=	PUNCT
ejpam-6749	687	2	varxi	varxi	NOUN
ejpam-6749	687	3	[	[	X
ejpam-6749	687	4	ex∼i	ex∼i	NOUN
ejpam-6749	688	1	[	[	X
ejpam-6749	688	2	f	f	X
ejpam-6749	688	3	|xi	|xi	PROPN
ejpam-6749	688	4	]	]	X
ejpam-6749	688	5	]	]	X
ejpam-6749	688	6	+	+	CCONJ
ejpam-6749	688	7	(	(	PUNCT
ejpam-6749	688	8	e[f	e[f	NUM
ejpam-6749	688	9	]	]	SYM
ejpam-6749	688	10	)	)	PUNCT
ejpam-6749	688	11	2	2	NUM
ejpam-6749	688	12	=	=	SYM
ejpam-6749	688	13	vi	vi	NOUN
ejpam-6749	688	14	+	+	CCONJ
ejpam-6749	688	15	(	(	PUNCT
ejpam-6749	688	16	e[f	e[f	NUM
ejpam-6749	688	17	]	]	NUM
ejpam-6749	688	18	)	)	PUNCT
ejpam-6749	688	19	2	2	X
ejpam-6749	688	20	.	.	X
ejpam-6749	689	1	therefore	therefore	ADV
ejpam-6749	689	2	,	,	PUNCT
ejpam-6749	689	3	e[y	e[y	VERB
ejpam-6749	689	4	]	]	PUNCT
ejpam-6749	689	5	=	=	PUNCT
ejpam-6749	689	6	vi+(e[f	vi+(e[f	NOUN
ejpam-6749	689	7	]	]	PUNCT
ejpam-6749	689	8	)	)	PUNCT
ejpam-6749	689	9	2−(e[f	2−(e[f	NUM
ejpam-6749	689	10	]	]	PUNCT
ejpam-6749	689	11	)	)	PUNCT
ejpam-6749	689	12	2	2	NUM
ejpam-6749	689	13	=	=	SYM
ejpam-6749	689	14	vi	vi	PROPN
ejpam-6749	689	15	,	,	PUNCT
ejpam-6749	689	16	establishing	establish	VERB
ejpam-6749	689	17	that	that	SCONJ
ejpam-6749	689	18	the	the	DET
ejpam-6749	689	19	numerator	numerator	PROPN
ejpam-6749	689	20	estimator	estimator	NOUN
ejpam-6749	689	21	is	be	AUX
ejpam-6749	689	22	unbiased	unbiased	ADJ
ejpam-6749	689	23	for	for	ADP
ejpam-6749	689	24	the	the	DET
ejpam-6749	689	25	desired	desire	VERB
ejpam-6749	689	26	variance	variance	NOUN
ejpam-6749	689	27	component	component	NOUN
ejpam-6749	689	28	.	.	PUNCT
ejpam-6749	690	1	since	since	SCONJ
ejpam-6749	690	2	the	the	DET
ejpam-6749	690	3	denominator	denominator	NOUN
ejpam-6749	690	4	σ̂2	σ̂2	PROPN
ejpam-6749	690	5	consistently	consistently	ADV
ejpam-6749	690	6	estimates	estimate	VERB
ejpam-6749	690	7	var[f	var[f	NOUN
ejpam-6749	690	8	]	]	PUNCT
ejpam-6749	690	9	by	by	ADP
ejpam-6749	690	10	the	the	DET
ejpam-6749	690	11	strong	strong	ADJ
ejpam-6749	690	12	law	law	NOUN
ejpam-6749	690	13	of	of	ADP
ejpam-6749	690	14	large	large	ADJ
ejpam-6749	690	15	numbers	number	NOUN
ejpam-6749	690	16	(	(	PUNCT
ejpam-6749	690	17	see	see	VERB
ejpam-6749	690	18	billingsley	billingsley	PROPN
ejpam-6749	690	19	[	[	X
ejpam-6749	690	20	85	85	NUM
ejpam-6749	690	21	]	]	NUM
ejpam-6749	690	22	)	)	PUNCT
ejpam-6749	690	23	,	,	PUNCT
ejpam-6749	690	24	the	the	DET
ejpam-6749	690	25	ratio	ratio	NOUN
ejpam-6749	690	26	ŝ	ŝ	X
ejpam-6749	690	27	(	(	PUNCT
ejpam-6749	690	28	n	n	CCONJ
ejpam-6749	690	29	)	)	PUNCT
ejpam-6749	690	30	i	i	PRON
ejpam-6749	690	31	is	be	AUX
ejpam-6749	690	32	asymptotically	asymptotically	ADV
ejpam-6749	690	33	unbiased	unbiased	ADJ
ejpam-6749	690	34	for	for	ADP
ejpam-6749	690	35	si	si	X
ejpam-6749	690	36	=	=	PUNCT
ejpam-6749	690	37	vi	vi	PROPN
ejpam-6749	690	38	/	/	SYM
ejpam-6749	690	39	var[f	var[f	NOUN
ejpam-6749	690	40	]	]	PUNCT
ejpam-6749	690	41	.	.	PUNCT
ejpam-6749	691	1	m.	m.	NOUN
ejpam-6749	691	2	zorom	zorom	NOUN
ejpam-6749	691	3	et	et	PROPN
ejpam-6749	691	4	al	al	PROPN
ejpam-6749	691	5	.	.	PUNCT
ejpam-6749	691	6	/	/	SYM
ejpam-6749	691	7	eur	eur	PROPN
ejpam-6749	691	8	.	.	PUNCT
ejpam-6749	692	1	j.	j.	PROPN
ejpam-6749	692	2	pure	pure	PROPN
ejpam-6749	692	3	appl	appl	PROPN
ejpam-6749	692	4	.	.	PROPN
ejpam-6749	692	5	math	math	PROPN
ejpam-6749	692	6	,	,	PUNCT
ejpam-6749	692	7	18	18	NUM
ejpam-6749	692	8	(	(	PUNCT
ejpam-6749	692	9	4	4	NUM
ejpam-6749	692	10	)	)	PUNCT
ejpam-6749	692	11	(	(	PUNCT
ejpam-6749	692	12	2025	2025	NUM
ejpam-6749	692	13	)	)	PUNCT
ejpam-6749	692	14	,	,	PUNCT
ejpam-6749	692	15	6749	6749	NUM
ejpam-6749	692	16	30	30	NUM
ejpam-6749	692	17	of	of	ADP
ejpam-6749	692	18	47	47	NUM
ejpam-6749	692	19	for	for	ADP
ejpam-6749	692	20	the	the	DET
ejpam-6749	692	21	convergence	convergence	NOUN
ejpam-6749	692	22	rate	rate	NOUN
ejpam-6749	692	23	,	,	PUNCT
ejpam-6749	692	24	we	we	PRON
ejpam-6749	692	25	apply	apply	VERB
ejpam-6749	692	26	the	the	DET
ejpam-6749	692	27	central	central	ADJ
ejpam-6749	692	28	limit	limit	NOUN
ejpam-6749	692	29	theorem	theorem	VERB
ejpam-6749	692	30	to	to	ADP
ejpam-6749	692	31	the	the	DET
ejpam-6749	692	32	u	u	NOUN
ejpam-6749	692	33	-statistic	-statistic	ADJ
ejpam-6749	692	34	structure	structure	NOUN
ejpam-6749	692	35	of	of	ADP
ejpam-6749	692	36	the	the	DET
ejpam-6749	692	37	estimator	estimator	NOUN
ejpam-6749	692	38	.	.	PUNCT
ejpam-6749	693	1	let	let	VERB
ejpam-6749	693	2	zj	zj	X
ejpam-6749	693	3	=	=	VERB
ejpam-6749	693	4	f(a(j))[f(a	f(a(j))[f(a	PROPN
ejpam-6749	694	1	(	(	PUNCT
ejpam-6749	694	2	i	i	PROPN
ejpam-6749	694	3	,	,	PUNCT
ejpam-6749	694	4	j	j	PROPN
ejpam-6749	694	5	)	)	PUNCT
ejpam-6749	694	6	b	b	PROPN
ejpam-6749	694	7	)	)	PUNCT
ejpam-6749	694	8	−f(b(j	−f(b(j	PROPN
ejpam-6749	694	9	)	)	PUNCT
ejpam-6749	694	10	)	)	PUNCT
ejpam-6749	694	11	]	]	PUNCT
ejpam-6749	694	12	.	.	PUNCT
ejpam-6749	695	1	under	under	ADP
ejpam-6749	695	2	regularity	regularity	NOUN
ejpam-6749	695	3	conditions	condition	NOUN
ejpam-6749	695	4	ensuring	ensure	VERB
ejpam-6749	695	5	finite	finite	PROPN
ejpam-6749	695	6	fourth	fourth	ADJ
ejpam-6749	695	7	moments	moment	NOUN
ejpam-6749	695	8	(	(	PUNCT
ejpam-6749	695	9	following	follow	VERB
ejpam-6749	695	10	the	the	DET
ejpam-6749	695	11	analysis	analysis	NOUN
ejpam-6749	695	12	in	in	ADP
ejpam-6749	695	13	serfling	serfle	VERB
ejpam-6749	695	14	[	[	X
ejpam-6749	695	15	86	86	NUM
ejpam-6749	695	16	]	]	PUNCT
ejpam-6749	695	17	):	):	PUNCT
ejpam-6749	695	18	√	√	DET
ejpam-6749	695	19	n	n	CCONJ
ejpam-6749	695	20	(	(	PUNCT
ejpam-6749	695	21	1	1	NUM
ejpam-6749	695	22	n	n	PRON
ejpam-6749	695	23	∑n	∑n	PROPN
ejpam-6749	695	24	j=1	j=1	PROPN
ejpam-6749	695	25	zj	zj	PROPN
ejpam-6749	695	26	−	−	PROPN
ejpam-6749	695	27	vi	vi	PROPN
ejpam-6749	695	28	)	)	PUNCT
ejpam-6749	695	29	d−→	d−→	PROPN
ejpam-6749	695	30	n	n	PROPN
ejpam-6749	695	31	(	(	PUNCT
ejpam-6749	695	32	0,var[z	0,var[z	PROPN
ejpam-6749	695	33	]	]	X
ejpam-6749	695	34	)	)	PUNCT
ejpam-6749	695	35	as	as	ADP
ejpam-6749	695	36	n	n	PROPN
ejpam-6749	695	37	→	→	SYM
ejpam-6749	695	38	∞.	∞.	PROPN
ejpam-6749	695	39	similarly	similarly	ADV
ejpam-6749	695	40	,	,	PUNCT
ejpam-6749	695	41	the	the	DET
ejpam-6749	695	42	sample	sample	NOUN
ejpam-6749	695	43	variance	variance	NOUN
ejpam-6749	695	44	estimator	estimator	NOUN
ejpam-6749	695	45	satisfies	satisfie	NOUN
ejpam-6749	695	46	:	:	PUNCT
ejpam-6749	695	47	√	√	PROPN
ejpam-6749	695	48	n(σ̂2	n(σ̂2	PROPN
ejpam-6749	695	49	−var[f	−var[f	NOUN
ejpam-6749	695	50	]	]	PUNCT
ejpam-6749	695	51	)	)	PUNCT
ejpam-6749	695	52	d−→	d−→	PROPN
ejpam-6749	695	53	n	n	PROPN
ejpam-6749	695	54	(	(	PUNCT
ejpam-6749	695	55	0,var[f2]−	0,var[f2]−	NUM
ejpam-6749	695	56	(	(	PUNCT
ejpam-6749	695	57	var[f	var[f	NOUN
ejpam-6749	695	58	]	]	PUNCT
ejpam-6749	695	59	)	)	PUNCT
ejpam-6749	695	60	2	2	NUM
ejpam-6749	695	61	)	)	PUNCT
ejpam-6749	695	62	.	.	PUNCT
ejpam-6749	696	1	applying	apply	VERB
ejpam-6749	696	2	slutsky	slutsky	PROPN
ejpam-6749	696	3	’s	’s	PART
ejpam-6749	696	4	theorem	theorem	NOUN
ejpam-6749	696	5	(	(	PUNCT
ejpam-6749	696	6	see	see	VERB
ejpam-6749	696	7	van	van	PROPN
ejpam-6749	696	8	der	der	PROPN
ejpam-6749	696	9	vaart	vaart	PROPN
ejpam-6749	697	1	[	[	X
ejpam-6749	697	2	87	87	NUM
ejpam-6749	697	3	]	]	PUNCT
ejpam-6749	697	4	)	)	PUNCT
ejpam-6749	697	5	to	to	ADP
ejpam-6749	697	6	the	the	DET
ejpam-6749	697	7	ratio	ratio	NOUN
ejpam-6749	697	8	and	and	CCONJ
ejpam-6749	697	9	using	use	VERB
ejpam-6749	697	10	the	the	DET
ejpam-6749	697	11	delta	delta	NOUN
ejpam-6749	697	12	method	method	NOUN
ejpam-6749	697	13	:	:	PUNCT
ejpam-6749	697	14	√	√	PROPN
ejpam-6749	697	15	n(ŝ	n(ŝ	PROPN
ejpam-6749	697	16	(	(	PUNCT
ejpam-6749	697	17	n	n	CCONJ
ejpam-6749	697	18	)	)	PUNCT
ejpam-6749	698	1	i	i	PRON
ejpam-6749	698	2	−	−	NOUN
ejpam-6749	698	3	si	si	NOUN
ejpam-6749	698	4	)	)	PUNCT
ejpam-6749	698	5	d−→	d−→	PROPN
ejpam-6749	698	6	n	n	PROPN
ejpam-6749	698	7	(	(	PUNCT
ejpam-6749	698	8	0	0	NUM
ejpam-6749	698	9	,	,	PUNCT
ejpam-6749	698	10	σ2	σ2	NOUN
ejpam-6749	698	11	asymptotic	asymptotic	ADJ
ejpam-6749	698	12	)	)	PUNCT
ejpam-6749	698	13	where	where	SCONJ
ejpam-6749	698	14	σ2	σ2	NOUN
ejpam-6749	698	15	asymptotic	asymptotic	ADJ
ejpam-6749	698	16	depends	depend	VERB
ejpam-6749	698	17	on	on	ADP
ejpam-6749	698	18	the	the	DET
ejpam-6749	698	19	second	second	ADJ
ejpam-6749	698	20	moments	moment	NOUN
ejpam-6749	698	21	of	of	ADP
ejpam-6749	698	22	the	the	DET
ejpam-6749	698	23	estimator	estimator	NOUN
ejpam-6749	698	24	components	component	NOUN
ejpam-6749	698	25	.	.	PUNCT
ejpam-6749	699	1	this	this	PRON
ejpam-6749	699	2	establishes	establish	VERB
ejpam-6749	699	3	the	the	DET
ejpam-6749	699	4	o(n−1/2	o(n−1/2	ADJ
ejpam-6749	699	5	)	)	PUNCT
ejpam-6749	699	6	convergence	convergence	NOUN
ejpam-6749	699	7	rate	rate	NOUN
ejpam-6749	699	8	characteristic	characteristic	NOUN
ejpam-6749	699	9	of	of	ADP
ejpam-6749	699	10	monte	monte	PROPN
ejpam-6749	699	11	carlo	carlo	PROPN
ejpam-6749	699	12	methods	method	NOUN
ejpam-6749	699	13	.	.	PUNCT
ejpam-6749	700	1	we	we	PRON
ejpam-6749	700	2	use	use	VERB
ejpam-6749	700	3	jansen	jansen	PROPN
ejpam-6749	700	4	estimator	estimator	NOUN
ejpam-6749	700	5	for	for	ADP
ejpam-6749	700	6	total	total	ADJ
ejpam-6749	700	7	-	-	PUNCT
ejpam-6749	700	8	order	order	NOUN
ejpam-6749	700	9	indices	index	NOUN
ejpam-6749	700	10	.	.	PUNCT
ejpam-6749	701	1	theorem	theorem	NOUN
ejpam-6749	701	2	15	15	NUM
ejpam-6749	701	3	.	.	PUNCT
ejpam-6749	702	1	the	the	DET
ejpam-6749	702	2	jansen	jansen	PROPN
ejpam-6749	702	3	estimator	estimator	NOUN
ejpam-6749	702	4	for	for	ADP
ejpam-6749	702	5	total	total	ADJ
ejpam-6749	702	6	-	-	PUNCT
ejpam-6749	702	7	order	order	NOUN
ejpam-6749	702	8	sobol	sobol	NOUN
ejpam-6749	702	9	indices	index	NOUN
ejpam-6749	702	10	,	,	PUNCT
ejpam-6749	702	11	developed	develop	VERB
ejpam-6749	702	12	by	by	ADP
ejpam-6749	702	13	jansen	jansen	PROPN
ejpam-6749	702	14	[	[	X
ejpam-6749	702	15	88	88	NUM
ejpam-6749	702	16	]	]	PUNCT
ejpam-6749	702	17	,	,	PUNCT
ejpam-6749	702	18	is	be	AUX
ejpam-6749	702	19	given	give	VERB
ejpam-6749	702	20	by	by	ADP
ejpam-6749	702	21	ŝ	ŝ	NOUN
ejpam-6749	702	22	(	(	PUNCT
ejpam-6749	702	23	n	n	CCONJ
ejpam-6749	702	24	)	)	PUNCT
ejpam-6749	702	25	t	t	NOUN
ejpam-6749	703	1	i	i	NOUN
ejpam-6749	703	2	=	=	NOUN
ejpam-6749	703	3	1	1	NUM
ejpam-6749	703	4	2n	2n	NUM
ejpam-6749	703	5	∑n	∑n	PROPN
ejpam-6749	703	6	j=1[f(a	j=1[f(a	PROPN
ejpam-6749	703	7	(	(	PUNCT
ejpam-6749	703	8	j))−f(a	j))−f(a	INTJ
ejpam-6749	703	9	(	(	PUNCT
ejpam-6749	703	10	i	i	PROPN
ejpam-6749	703	11	,	,	PUNCT
ejpam-6749	703	12	j	j	PROPN
ejpam-6749	703	13	)	)	PUNCT
ejpam-6749	703	14	b	b	PROPN
ejpam-6749	703	15	)	)	PUNCT
ejpam-6749	703	16	]	]	SYM
ejpam-6749	703	17	2	2	NUM
ejpam-6749	703	18	σ̂2	σ̂2	NOUN
ejpam-6749	703	19	and	and	CCONJ
ejpam-6749	703	20	is	be	AUX
ejpam-6749	703	21	asymptotically	asymptotically	ADV
ejpam-6749	703	22	unbiased	unbiased	ADJ
ejpam-6749	703	23	with	with	ADP
ejpam-6749	703	24	convergence	convergence	NOUN
ejpam-6749	703	25	rate	rate	NOUN
ejpam-6749	703	26	o(n−1/2	o(n−1/2	PROPN
ejpam-6749	703	27	)	)	PUNCT
ejpam-6749	703	28	.	.	PUNCT
ejpam-6749	704	1	proof	proof	NOUN
ejpam-6749	704	2	.	.	PUNCT
ejpam-6749	705	1	the	the	DET
ejpam-6749	705	2	proof	proof	NOUN
ejpam-6749	705	3	follows	follow	VERB
ejpam-6749	705	4	similar	similar	ADJ
ejpam-6749	705	5	lines	line	NOUN
ejpam-6749	705	6	to	to	ADP
ejpam-6749	705	7	14	14	NUM
ejpam-6749	705	8	,	,	PUNCT
ejpam-6749	705	9	utilizing	utilize	VERB
ejpam-6749	705	10	the	the	DET
ejpam-6749	705	11	relationship	relationship	NOUN
ejpam-6749	705	12	between	between	ADP
ejpam-6749	705	13	totalorder	totalorder	NOUN
ejpam-6749	705	14	indices	index	NOUN
ejpam-6749	705	15	and	and	CCONJ
ejpam-6749	705	16	the	the	DET
ejpam-6749	705	17	complementary	complementary	ADJ
ejpam-6749	705	18	variance	variance	NOUN
ejpam-6749	705	19	formulation	formulation	NOUN
ejpam-6749	705	20	established	establish	VERB
ejpam-6749	705	21	by	by	ADP
ejpam-6749	705	22	homma	homma	PROPN
ejpam-6749	705	23	and	and	CCONJ
ejpam-6749	705	24	saltelli	saltelli	PROPN
ejpam-6749	706	1	[	[	X
ejpam-6749	706	2	81	81	NUM
ejpam-6749	706	3	]	]	PUNCT
ejpam-6749	706	4	.	.	PUNCT
ejpam-6749	707	1	we	we	PRON
ejpam-6749	707	2	compute	compute	VERB
ejpam-6749	707	3	the	the	DET
ejpam-6749	707	4	expectation	expectation	NOUN
ejpam-6749	707	5	of	of	ADP
ejpam-6749	707	6	the	the	DET
ejpam-6749	707	7	numerator	numerator	NOUN
ejpam-6749	707	8	:	:	PUNCT
ejpam-6749	707	9	e[(f(a	e[(f(a	PROPN
ejpam-6749	707	10	)	)	PUNCT
ejpam-6749	707	11	−	−	PROPN
ejpam-6749	707	12	f(a	f(a	NOUN
ejpam-6749	707	13	(	(	PUNCT
ejpam-6749	707	14	i	i	NOUN
ejpam-6749	707	15	)	)	PUNCT
ejpam-6749	707	16	b	b	NOUN
ejpam-6749	707	17	)	)	PUNCT
ejpam-6749	707	18	)	)	PUNCT
ejpam-6749	707	19	2	2	NUM
ejpam-6749	707	20	]	]	PUNCT
ejpam-6749	707	21	=	=	SYM
ejpam-6749	707	22	e[f2(a	e[f2(a	NOUN
ejpam-6749	707	23	)	)	PUNCT
ejpam-6749	707	24	]	]	PUNCT
ejpam-6749	708	1	+	+	CCONJ
ejpam-6749	708	2	e[f2(a	e[f2(a	NOUN
ejpam-6749	708	3	(	(	PUNCT
ejpam-6749	708	4	i	i	NOUN
ejpam-6749	708	5	)	)	PUNCT
ejpam-6749	708	6	b	b	PROPN
ejpam-6749	708	7	)	)	PUNCT
ejpam-6749	708	8	]	]	PUNCT
ejpam-6749	708	9	−	−	PROPN
ejpam-6749	708	10	2e[f(a)f(a	2e[f(a)f(a	PROPN
ejpam-6749	708	11	(	(	PUNCT
ejpam-6749	708	12	i	i	NOUN
ejpam-6749	708	13	)	)	PUNCT
ejpam-6749	708	14	b	b	PROPN
ejpam-6749	708	15	)	)	PUNCT
ejpam-6749	708	16	]	]	PUNCT
ejpam-6749	708	17	.	.	PUNCT
ejpam-6749	709	1	since	since	SCONJ
ejpam-6749	709	2	a	a	PRON
ejpam-6749	709	3	and	and	CCONJ
ejpam-6749	709	4	a	a	DET
ejpam-6749	709	5	(	(	PUNCT
ejpam-6749	709	6	i	i	NOUN
ejpam-6749	709	7	)	)	PUNCT
ejpam-6749	709	8	b	b	PROPN
ejpam-6749	709	9	have	have	VERB
ejpam-6749	709	10	identical	identical	ADJ
ejpam-6749	709	11	marginal	marginal	ADJ
ejpam-6749	709	12	distributions	distribution	NOUN
ejpam-6749	709	13	:	:	PUNCT
ejpam-6749	709	14	e[f2(a	e[f2(a	NOUN
ejpam-6749	709	15	)	)	PUNCT
ejpam-6749	709	16	]	]	PUNCT
ejpam-6749	710	1	=	=	SYM
ejpam-6749	710	2	e[f2(a	e[f2(a	NOUN
ejpam-6749	710	3	(	(	PUNCT
ejpam-6749	710	4	i	i	NOUN
ejpam-6749	710	5	)	)	PUNCT
ejpam-6749	710	6	b	b	PROPN
ejpam-6749	710	7	)	)	PUNCT
ejpam-6749	710	8	]	]	PUNCT
ejpam-6749	711	1	=	=	PUNCT
ejpam-6749	711	2	var[f	var[f	NOUN
ejpam-6749	711	3	]	]	PUNCT
ejpam-6749	712	1	+	+	CCONJ
ejpam-6749	712	2	(	(	PUNCT
ejpam-6749	712	3	e[f	e[f	NUM
ejpam-6749	712	4	]	]	NUM
ejpam-6749	712	5	)	)	PUNCT
ejpam-6749	712	6	2	2	X
ejpam-6749	712	7	.	.	X
ejpam-6749	712	8	from	from	ADP
ejpam-6749	712	9	the	the	DET
ejpam-6749	712	10	analysis	analysis	NOUN
ejpam-6749	712	11	in	in	ADP
ejpam-6749	712	12	14	14	NUM
ejpam-6749	712	13	:	:	PUNCT
ejpam-6749	712	14	e[f(a)f(a	e[f(a)f(a	PROPN
ejpam-6749	712	15	(	(	PUNCT
ejpam-6749	712	16	i	i	NOUN
ejpam-6749	712	17	)	)	PUNCT
ejpam-6749	712	18	b	b	PROPN
ejpam-6749	712	19	)	)	PUNCT
ejpam-6749	712	20	]	]	PUNCT
ejpam-6749	712	21	=	=	PUNCT
ejpam-6749	712	22	vi	vi	PROPN
ejpam-6749	712	23	+	+	CCONJ
ejpam-6749	712	24	(	(	PUNCT
ejpam-6749	712	25	e[f	e[f	NUM
ejpam-6749	712	26	]	]	NUM
ejpam-6749	712	27	)	)	PUNCT
ejpam-6749	712	28	2	2	X
ejpam-6749	712	29	.	.	PUNCT
ejpam-6749	713	1	therefore	therefore	ADV
ejpam-6749	713	2	:	:	PUNCT
ejpam-6749	713	3	e[(f(a)−f(a	e[(f(a)−f(a	PROPN
ejpam-6749	713	4	(	(	PUNCT
ejpam-6749	713	5	i	i	NOUN
ejpam-6749	713	6	)	)	PUNCT
ejpam-6749	713	7	b	b	NOUN
ejpam-6749	713	8	)	)	PUNCT
ejpam-6749	713	9	)	)	PUNCT
ejpam-6749	713	10	2	2	X
ejpam-6749	713	11	]	]	PUNCT
ejpam-6749	713	12	=	=	SYM
ejpam-6749	713	13	2(var[f	2(var[f	X
ejpam-6749	714	1	]	]	X
ejpam-6749	714	2	+	+	PROPN
ejpam-6749	714	3	(	(	PUNCT
ejpam-6749	714	4	e[f	e[f	NOUN
ejpam-6749	714	5	]	]	NOUN
ejpam-6749	714	6	)	)	PUNCT
ejpam-6749	714	7	2)−2(vi+(e[f	2)−2(vi+(e[f	NUM
ejpam-6749	714	8	]	]	PUNCT
ejpam-6749	714	9	)	)	PUNCT
ejpam-6749	714	10	2	2	X
ejpam-6749	714	11	)	)	PUNCT
ejpam-6749	714	12	=	=	SYM
ejpam-6749	714	13	2(var[f	2(var[f	NOUN
ejpam-6749	714	14	]	]	SYM
ejpam-6749	714	15	−vi	−vi	NUM
ejpam-6749	714	16	)	)	PUNCT
ejpam-6749	714	17	.	.	PUNCT
ejpam-6749	715	1	since	since	SCONJ
ejpam-6749	715	2	st	st	PROPN
ejpam-6749	715	3	i	i	PROPN
ejpam-6749	715	4	=	=	PUNCT
ejpam-6749	715	5	var[f	var[f	X
ejpam-6749	715	6	]	]	PUNCT
ejpam-6749	715	7	−v∼i	−v∼i	NOUN
ejpam-6749	715	8	var[f	var[f	NOUN
ejpam-6749	715	9	]	]	PUNCT
ejpam-6749	715	10	where	where	SCONJ
ejpam-6749	715	11	v∼i	v∼i	ADP
ejpam-6749	715	12	=	=	SYM
ejpam-6749	715	13	varx∼i	varx∼i	PROPN
ejpam-6749	716	1	[	[	X
ejpam-6749	716	2	exi	exi	PROPN
ejpam-6749	716	3	[	[	X
ejpam-6749	716	4	f	f	PROPN
ejpam-6749	716	5	|x∼i	|x∼i	PROPN
ejpam-6749	716	6	]	]	X
ejpam-6749	716	7	]	]	PUNCT
ejpam-6749	716	8	,	,	PUNCT
ejpam-6749	716	9	and	and	CCONJ
ejpam-6749	716	10	for	for	ADP
ejpam-6749	716	11	our	our	PRON
ejpam-6749	716	12	terrorism	terrorism	NOUN
ejpam-6749	716	13	model	model	VERB
ejpam-6749	716	14	the	the	DET
ejpam-6749	716	15	absence	absence	NOUN
ejpam-6749	716	16	of	of	ADP
ejpam-6749	716	17	interactions	interaction	NOUN
ejpam-6749	716	18	implies	imply	VERB
ejpam-6749	716	19	v∼i	v∼i	PROPN
ejpam-6749	716	20	=	=	SYM
ejpam-6749	716	21	vi	vi	PROPN
ejpam-6749	716	22	,	,	PUNCT
ejpam-6749	716	23	we	we	PRON
ejpam-6749	716	24	have	have	VERB
ejpam-6749	716	25	:	:	PUNCT
ejpam-6749	717	1	st	st	PROPN
ejpam-6749	717	2	i	i	NOUN
ejpam-6749	717	3	=	=	VERB
ejpam-6749	717	4	var[f	var[f	NOUN
ejpam-6749	717	5	]	]	PUNCT
ejpam-6749	717	6	−vi	−vi	NUM
ejpam-6749	717	7	var[f	var[f	NOUN
ejpam-6749	717	8	]	]	PUNCT
ejpam-6749	717	9	.	.	PUNCT
ejpam-6749	718	1	this	this	PRON
ejpam-6749	718	2	establishes	establish	VERB
ejpam-6749	718	3	that	that	PRON
ejpam-6749	718	4	:	:	PUNCT
ejpam-6749	718	5	e	e	X
ejpam-6749	718	6	[	[	PUNCT
ejpam-6749	718	7	1	1	NUM
ejpam-6749	718	8	2(f(a)−	2(f(a)−	NUM
ejpam-6749	718	9	f(a	f(a	NOUN
ejpam-6749	718	10	(	(	PUNCT
ejpam-6749	718	11	i	i	NOUN
ejpam-6749	718	12	)	)	PUNCT
ejpam-6749	718	13	b	b	NOUN
ejpam-6749	718	14	)	)	PUNCT
ejpam-6749	718	15	)	)	PUNCT
ejpam-6749	718	16	2	2	NUM
ejpam-6749	718	17	]	]	PUNCT
ejpam-6749	718	18	=	=	PUNCT
ejpam-6749	718	19	var[f	var[f	NOUN
ejpam-6749	718	20	]	]	PUNCT
ejpam-6749	718	21	−	−	X
ejpam-6749	718	22	vi	vi	PROPN
ejpam-6749	718	23	=	=	SYM
ejpam-6749	718	24	st	st	PROPN
ejpam-6749	718	25	i	i	NOUN
ejpam-6749	718	26	·	·	PUNCT
ejpam-6749	718	27	var[f	var[f	NOUN
ejpam-6749	718	28	]	]	PUNCT
ejpam-6749	718	29	,	,	PUNCT
ejpam-6749	718	30	confirming	confirm	VERB
ejpam-6749	718	31	asymptotic	asymptotic	ADJ
ejpam-6749	718	32	unbiasedness	unbiasedness	NOUN
ejpam-6749	718	33	.	.	PUNCT
ejpam-6749	719	1	convergence	convergence	NOUN
ejpam-6749	719	2	rate	rate	NOUN
ejpam-6749	719	3	follows	follow	VERB
ejpam-6749	719	4	by	by	ADP
ejpam-6749	719	5	arguments	argument	NOUN
ejpam-6749	719	6	analogous	analogous	ADJ
ejpam-6749	719	7	to	to	ADP
ejpam-6749	719	8	those	those	PRON
ejpam-6749	719	9	in	in	ADP
ejpam-6749	719	10	14	14	NUM
ejpam-6749	719	11	.	.	PUNCT
ejpam-6749	720	1	9	9	NUM
ejpam-6749	720	2	.	.	X
ejpam-6749	720	3	numerical	numerical	ADJ
ejpam-6749	720	4	simulations	simulation	NOUN
ejpam-6749	720	5	and	and	CCONJ
ejpam-6749	720	6	discussion	discussion	VERB
ejpam-6749	720	7	the	the	DET
ejpam-6749	720	8	numerical	numerical	ADJ
ejpam-6749	720	9	simulation	simulation	NOUN
ejpam-6749	720	10	of	of	ADP
ejpam-6749	720	11	the	the	DET
ejpam-6749	720	12	nonlinear	nonlinear	ADJ
ejpam-6749	720	13	differential	differential	ADJ
ejpam-6749	720	14	equation	equation	NOUN
ejpam-6749	720	15	(	(	PUNCT
ejpam-6749	720	16	1	1	X
ejpam-6749	720	17	)	)	PUNCT
ejpam-6749	720	18	was	be	AUX
ejpam-6749	720	19	performed	perform	VERB
ejpam-6749	720	20	using	use	VERB
ejpam-6749	720	21	python	python	NOUN
ejpam-6749	720	22	.	.	PUNCT
ejpam-6749	721	1	the	the	DET
ejpam-6749	721	2	parameter	parameter	NOUN
ejpam-6749	721	3	values	value	NOUN
ejpam-6749	721	4	(	(	PUNCT
ejpam-6749	721	5	2	2	NUM
ejpam-6749	721	6	and	and	CCONJ
ejpam-6749	721	7	1	1	NUM
ejpam-6749	721	8	)	)	PUNCT
ejpam-6749	721	9	were	be	AUX
ejpam-6749	721	10	estimated	estimate	VERB
ejpam-6749	721	11	based	base	VERB
ejpam-6749	721	12	on	on	ADP
ejpam-6749	721	13	a	a	DET
ejpam-6749	721	14	synthesis	synthesis	NOUN
ejpam-6749	721	15	of	of	ADP
ejpam-6749	721	16	empirical	empirical	ADJ
ejpam-6749	721	17	data	datum	NOUN
ejpam-6749	721	18	from	from	ADP
ejpam-6749	721	19	the	the	DET
ejpam-6749	721	20	cited	cite	VERB
ejpam-6749	721	21	sources	source	NOUN
ejpam-6749	721	22	in	in	ADP
ejpam-6749	721	23	the	the	DET
ejpam-6749	721	24	introduction	introduction	NOUN
ejpam-6749	721	25	(	(	PUNCT
ejpam-6749	721	26	e.g.	e.g.	ADV
ejpam-6749	721	27	,	,	PUNCT
ejpam-6749	721	28	acled	acle	VERB
ejpam-6749	721	29	reports	report	NOUN
ejpam-6749	721	30	[	[	X
ejpam-6749	721	31	14	14	NUM
ejpam-6749	721	32	,	,	PUNCT
ejpam-6749	721	33	15	15	NUM
ejpam-6749	721	34	,	,	PUNCT
ejpam-6749	721	35	19][89	19][89	NUM
ejpam-6749	721	36	,	,	PUNCT
ejpam-6749	721	37	92	92	NUM
ejpam-6749	721	38	,	,	PUNCT
ejpam-6749	721	39	93	93	NUM
ejpam-6749	721	40	]	]	PUNCT
ejpam-6749	721	41	,	,	PUNCT
ejpam-6749	721	42	global	global	ADJ
ejpam-6749	721	43	terrorism	terrorism	NOUN
ejpam-6749	721	44	index	index	NOUN
ejpam-6749	722	1	[	[	X
ejpam-6749	722	2	[	[	X
ejpam-6749	722	3	2	2	NUM
ejpam-6749	722	4	]	]	X
ejpam-6749	722	5	]	]	X
ejpam-6749	722	6	,	,	PUNCT
ejpam-6749	722	7	unicef	unicef	PROPN
ejpam-6749	723	1	[	[	X
ejpam-6749	723	2	[	[	X
ejpam-6749	723	3	16	16	NUM
ejpam-6749	723	4	]	]	X
ejpam-6749	723	5	]	]	PUNCT
ejpam-6749	723	6	)	)	PUNCT
ejpam-6749	723	7	and	and	CCONJ
ejpam-6749	723	8	were	be	AUX
ejpam-6749	723	9	chosen	choose	VERB
ejpam-6749	723	10	to	to	PART
ejpam-6749	723	11	be	be	AUX
ejpam-6749	723	12	biologically	biologically	ADV
ejpam-6749	723	13	plausible	plausible	ADJ
ejpam-6749	723	14	and	and	CCONJ
ejpam-6749	723	15	consistent	consistent	ADJ
ejpam-6749	723	16	with	with	ADP
ejpam-6749	723	17	the	the	DET
ejpam-6749	723	18	literature	literature	NOUN
ejpam-6749	723	19	on	on	ADP
ejpam-6749	723	20	conflict	conflict	NOUN
ejpam-6749	723	21	modeling	modeling	NOUN
ejpam-6749	723	22	.	.	PUNCT
ejpam-6749	724	1	m.	m.	NOUN
ejpam-6749	724	2	zorom	zorom	NOUN
ejpam-6749	724	3	et	et	PROPN
ejpam-6749	724	4	al	al	PROPN
ejpam-6749	724	5	.	.	PUNCT
ejpam-6749	724	6	/	/	SYM
ejpam-6749	724	7	eur	eur	PROPN
ejpam-6749	724	8	.	.	PUNCT
ejpam-6749	725	1	j.	j.	PROPN
ejpam-6749	725	2	pure	pure	PROPN
ejpam-6749	725	3	appl	appl	PROPN
ejpam-6749	725	4	.	.	PROPN
ejpam-6749	725	5	math	math	PROPN
ejpam-6749	725	6	,	,	PUNCT
ejpam-6749	725	7	18	18	NUM
ejpam-6749	725	8	(	(	PUNCT
ejpam-6749	725	9	4	4	NUM
ejpam-6749	725	10	)	)	PUNCT
ejpam-6749	725	11	(	(	PUNCT
ejpam-6749	725	12	2025	2025	NUM
ejpam-6749	725	13	)	)	PUNCT
ejpam-6749	725	14	,	,	PUNCT
ejpam-6749	725	15	6749	6749	NUM
ejpam-6749	725	16	31	31	NUM
ejpam-6749	725	17	of	of	ADP
ejpam-6749	725	18	47	47	NUM
ejpam-6749	725	19	the	the	DET
ejpam-6749	725	20	simulation	simulation	NOUN
ejpam-6749	725	21	spanned	span	VERB
ejpam-6749	725	22	a	a	DET
ejpam-6749	725	23	20	20	NUM
ejpam-6749	725	24	-	-	PUNCT
ejpam-6749	725	25	year	year	NOUN
ejpam-6749	725	26	period	period	NOUN
ejpam-6749	725	27	with	with	ADP
ejpam-6749	725	28	an	an	DET
ejpam-6749	725	29	initial	initial	ADJ
ejpam-6749	725	30	population	population	NOUN
ejpam-6749	725	31	of	of	ADP
ejpam-6749	725	32	10,050	10,050	NUM
ejpam-6749	725	33	,	,	PUNCT
ejpam-6749	725	34	comprising	comprise	VERB
ejpam-6749	725	35	10,000	10,000	NUM
ejpam-6749	725	36	susceptible	susceptible	ADJ
ejpam-6749	725	37	individuals	individual	NOUN
ejpam-6749	725	38	,	,	PUNCT
ejpam-6749	725	39	40	40	NUM
ejpam-6749	725	40	terrorists	terrorist	NOUN
ejpam-6749	725	41	,	,	PUNCT
ejpam-6749	725	42	and	and	CCONJ
ejpam-6749	725	43	10	10	NUM
ejpam-6749	725	44	internally	internally	ADV
ejpam-6749	725	45	displaced	displace	VERB
ejpam-6749	725	46	persons	person	NOUN
ejpam-6749	725	47	(	(	PUNCT
ejpam-6749	725	48	idps	idps	NOUN
ejpam-6749	725	49	)	)	PUNCT
ejpam-6749	725	50	.	.	PUNCT
ejpam-6749	726	1	parameter	parameter	NOUN
ejpam-6749	726	2	values	value	NOUN
ejpam-6749	726	3	are	be	AUX
ejpam-6749	726	4	tabulated	tabulate	VERB
ejpam-6749	726	5	in	in	ADP
ejpam-6749	726	6	2	2	NUM
ejpam-6749	726	7	this	this	DET
ejpam-6749	726	8	section	section	NOUN
ejpam-6749	726	9	provides	provide	VERB
ejpam-6749	726	10	graphical	graphical	ADJ
ejpam-6749	726	11	illustrations	illustration	NOUN
ejpam-6749	726	12	of	of	ADP
ejpam-6749	726	13	the	the	DET
ejpam-6749	726	14	theoretical	theoretical	ADJ
ejpam-6749	726	15	results	result	NOUN
ejpam-6749	726	16	developed	develop	VERB
ejpam-6749	726	17	in	in	ADP
ejpam-6749	726	18	each	each	DET
ejpam-6749	726	19	part	part	NOUN
ejpam-6749	726	20	.	.	PUNCT
ejpam-6749	727	1	figure	figure	NOUN
ejpam-6749	727	2	3	3	NUM
ejpam-6749	727	3	illustrates	illustrate	VERB
ejpam-6749	727	4	the	the	DET
ejpam-6749	727	5	characteristic	characteristic	ADJ
ejpam-6749	727	6	dynamics	dynamic	NOUN
ejpam-6749	727	7	when	when	SCONJ
ejpam-6749	727	8	r0	r0	NOUN
ejpam-6749	727	9	>	>	X
ejpam-6749	727	10	1	1	X
ejpam-6749	727	11	.	.	PUNCT
ejpam-6749	728	1	the	the	DET
ejpam-6749	728	2	terrorist	terrorist	ADJ
ejpam-6749	728	3	population	population	NOUN
ejpam-6749	728	4	exhibits	exhibit	VERB
ejpam-6749	728	5	initial	initial	ADJ
ejpam-6749	728	6	exponential	exponential	ADJ
ejpam-6749	728	7	growth	growth	NOUN
ejpam-6749	728	8	followed	follow	VERB
ejpam-6749	728	9	by	by	ADP
ejpam-6749	728	10	stabilization	stabilization	NOUN
ejpam-6749	728	11	at	at	ADP
ejpam-6749	728	12	the	the	DET
ejpam-6749	728	13	endemic	endemic	ADJ
ejpam-6749	728	14	equilibrium	equilibrium	NOUN
ejpam-6749	728	15	level	level	NOUN
ejpam-6749	728	16	.	.	PUNCT
ejpam-6749	729	1	the	the	DET
ejpam-6749	729	2	susceptible	susceptible	ADJ
ejpam-6749	729	3	population	population	NOUN
ejpam-6749	729	4	decreases	decrease	VERB
ejpam-6749	729	5	as	as	SCONJ
ejpam-6749	729	6	individuals	individual	NOUN
ejpam-6749	729	7	are	be	AUX
ejpam-6749	729	8	either	either	ADV
ejpam-6749	729	9	radicalized	radicalize	VERB
ejpam-6749	729	10	or	or	CCONJ
ejpam-6749	729	11	displaced	displace	VERB
ejpam-6749	729	12	,	,	PUNCT
ejpam-6749	729	13	while	while	SCONJ
ejpam-6749	729	14	the	the	DET
ejpam-6749	729	15	displaced	displace	VERB
ejpam-6749	729	16	population	population	NOUN
ejpam-6749	729	17	shows	show	VERB
ejpam-6749	729	18	continuous	continuous	ADJ
ejpam-6749	729	19	growth	growth	NOUN
ejpam-6749	729	20	due	due	ADP
ejpam-6749	729	21	to	to	ADP
ejpam-6749	729	22	ongoing	ongoing	ADJ
ejpam-6749	729	23	violence	violence	NOUN
ejpam-6749	729	24	.	.	PUNCT
ejpam-6749	730	1	this	this	DET
ejpam-6749	730	2	pattern	pattern	NOUN
ejpam-6749	730	3	confirms	confirm	VERB
ejpam-6749	730	4	the	the	DET
ejpam-6749	730	5	mathematical	mathematical	ADJ
ejpam-6749	730	6	prediction	prediction	NOUN
ejpam-6749	730	7	of	of	ADP
ejpam-6749	730	8	endemic	endemic	ADJ
ejpam-6749	730	9	terrorism	terrorism	NOUN
ejpam-6749	730	10	persistence	persistence	NOUN
ejpam-6749	730	11	when	when	SCONJ
ejpam-6749	730	12	the	the	DET
ejpam-6749	730	13	basic	basic	ADJ
ejpam-6749	730	14	reproduction	reproduction	NOUN
ejpam-6749	730	15	number	number	NOUN
ejpam-6749	730	16	exceeds	exceed	VERB
ejpam-6749	730	17	unity	unity	NOUN
ejpam-6749	730	18	.	.	PUNCT
ejpam-6749	731	1	mathematical	mathematical	ADJ
ejpam-6749	731	2	modeling	modeling	PROPN
ejpam-6749	731	3	&	&	CCONJ
ejpam-6749	731	4	simulation	simulation	PROPN
ejpam-6749	731	5	terrorism	terrorism	NOUN
ejpam-6749	731	6	dynamics	dynamic	VERB
ejpam-6749	731	7	analysis	analysis	VERB
ejpam-6749	731	8	1.3	1.3	NUM
ejpam-6749	731	9	system	system	NOUN
ejpam-6749	731	10	dynamics	dynamic	NOUN
ejpam-6749	731	11	simulation	simulation	NOUN
ejpam-6749	731	12	0	0	NUM
ejpam-6749	731	13	2	2	NUM
ejpam-6749	731	14	4	4	NUM
ejpam-6749	731	15	6	6	NUM
ejpam-6749	731	16	8	8	NUM
ejpam-6749	731	17	10	10	NUM
ejpam-6749	731	18	12	12	NUM
ejpam-6749	731	19	14	14	NUM
ejpam-6749	731	20	16	16	NUM
ejpam-6749	731	21	18	18	NUM
ejpam-6749	731	22	20	20	NUM
ejpam-6749	731	23	0	0	NUM
ejpam-6749	731	24	0.2	0.2	NUM
ejpam-6749	731	25	0.4	0.4	NUM
ejpam-6749	731	26	0.6	0.6	NUM
ejpam-6749	731	27	0.8	0.8	NUM
ejpam-6749	731	28	1	1	NUM
ejpam-6749	731	29	·	·	SYM
ejpam-6749	731	30	104	104	NUM
ejpam-6749	731	31	time	time	NOUN
ejpam-6749	731	32	(	(	PUNCT
ejpam-6749	731	33	years	year	NOUN
ejpam-6749	731	34	)	)	PUNCT
ejpam-6749	732	1	p	p	X
ejpam-6749	732	2	o	o	X
ejpam-6749	732	3	p	p	X
ejpam-6749	732	4	u	u	X
ejpam-6749	732	5	la	la	X
ejpam-6749	732	6	ti	ti	NOUN
ejpam-6749	732	7	o	o	NOUN
ejpam-6749	732	8	n	n	ADV
ejpam-6749	732	9	susceptible	susceptible	ADJ
ejpam-6749	732	10	(	(	PUNCT
ejpam-6749	732	11	s	s	NOUN
ejpam-6749	732	12	)	)	PUNCT
ejpam-6749	732	13	terrorists	terrorist	NOUN
ejpam-6749	732	14	(	(	PUNCT
ejpam-6749	732	15	t	t	NOUN
ejpam-6749	732	16	)	)	PUNCT
ejpam-6749	732	17	displaced	displace	VERB
ejpam-6749	732	18	(	(	PUNCT
ejpam-6749	732	19	q	q	NOUN
ejpam-6749	732	20	)	)	PUNCT
ejpam-6749	732	21	figure	figure	NOUN
ejpam-6749	732	22	1	1	NUM
ejpam-6749	732	23	:	:	PUNCT
ejpam-6749	732	24	evolution	evolution	NOUN
ejpam-6749	732	25	of	of	ADP
ejpam-6749	732	26	population	population	NOUN
ejpam-6749	732	27	compartments	compartment	NOUN
ejpam-6749	732	28	over	over	ADP
ejpam-6749	732	29	20	20	NUM
ejpam-6749	732	30	years	year	NOUN
ejpam-6749	732	31	with	with	ADP
ejpam-6749	732	32	r0	r0	NOUN
ejpam-6749	732	33	=	=	PUNCT
ejpam-6749	732	34	2.49	2.49	NUM
ejpam-6749	732	35	>	>	SYM
ejpam-6749	732	36	1	1	NUM
ejpam-6749	732	37	interpretation	interpretation	NOUN
ejpam-6749	732	38	:	:	PUNCT
ejpam-6749	732	39	figure	figure	NOUN
ejpam-6749	732	40	1	1	NUM
ejpam-6749	732	41	illustrates	illustrate	VERB
ejpam-6749	732	42	the	the	DET
ejpam-6749	732	43	characteristic	characteristic	ADJ
ejpam-6749	732	44	dynamics	dynamic	NOUN
ejpam-6749	732	45	when	when	SCONJ
ejpam-6749	732	46	r0	r0	NOUN
ejpam-6749	732	47	>	>	X
ejpam-6749	732	48	1	1	X
ejpam-6749	732	49	.	.	PUNCT
ejpam-6749	733	1	the	the	DET
ejpam-6749	733	2	terrorist	terrorist	ADJ
ejpam-6749	733	3	population	population	NOUN
ejpam-6749	733	4	exhibits	exhibit	VERB
ejpam-6749	733	5	initial	initial	ADJ
ejpam-6749	733	6	exponential	exponential	ADJ
ejpam-6749	733	7	growth	growth	NOUN
ejpam-6749	733	8	followed	follow	VERB
ejpam-6749	733	9	by	by	ADP
ejpam-6749	733	10	stabilization	stabilization	NOUN
ejpam-6749	733	11	at	at	ADP
ejpam-6749	733	12	the	the	DET
ejpam-6749	733	13	endemic	endemic	ADJ
ejpam-6749	733	14	equilibrium	equilibrium	NOUN
ejpam-6749	733	15	level	level	NOUN
ejpam-6749	733	16	.	.	PUNCT
ejpam-6749	734	1	the	the	DET
ejpam-6749	734	2	susceptible	susceptible	ADJ
ejpam-6749	734	3	population	population	NOUN
ejpam-6749	734	4	decreases	decrease	VERB
ejpam-6749	734	5	as	as	SCONJ
ejpam-6749	734	6	individuals	individual	NOUN
ejpam-6749	734	7	are	be	AUX
ejpam-6749	734	8	either	either	ADV
ejpam-6749	734	9	radicalized	radicalize	VERB
ejpam-6749	734	10	or	or	CCONJ
ejpam-6749	734	11	displaced	displace	VERB
ejpam-6749	734	12	,	,	PUNCT
ejpam-6749	734	13	while	while	SCONJ
ejpam-6749	734	14	the	the	DET
ejpam-6749	734	15	displaced	displace	VERB
ejpam-6749	734	16	population	population	NOUN
ejpam-6749	734	17	shows	show	VERB
ejpam-6749	734	18	continuous	continuous	ADJ
ejpam-6749	734	19	growth	growth	NOUN
ejpam-6749	734	20	due	due	ADP
ejpam-6749	734	21	to	to	ADP
ejpam-6749	734	22	ongoing	ongoing	ADJ
ejpam-6749	734	23	violence	violence	NOUN
ejpam-6749	734	24	.	.	PUNCT
ejpam-6749	735	1	this	this	DET
ejpam-6749	735	2	pattern	pattern	NOUN
ejpam-6749	735	3	con	con	PROPN
ejpam-6749	735	4	�	�	PROPN
ejpam-6749	735	5	rms	rm	VERB
ejpam-6749	735	6	the	the	DET
ejpam-6749	735	7	mathematical	mathematical	ADJ
ejpam-6749	735	8	prediction	prediction	NOUN
ejpam-6749	735	9	of	of	ADP
ejpam-6749	735	10	endemic	endemic	ADJ
ejpam-6749	735	11	terrorism	terrorism	NOUN
ejpam-6749	735	12	persistence	persistence	NOUN
ejpam-6749	735	13	when	when	SCONJ
ejpam-6749	735	14	the	the	DET
ejpam-6749	735	15	basic	basic	ADJ
ejpam-6749	735	16	reproduction	reproduction	NOUN
ejpam-6749	735	17	number	number	NOUN
ejpam-6749	735	18	exceeds	exceed	VERB
ejpam-6749	735	19	unity	unity	NOUN
ejpam-6749	735	20	.	.	PUNCT
ejpam-6749	736	1	2	2	NUM
ejpam-6749	736	2	basic	basic	ADJ
ejpam-6749	736	3	reproduction	reproduction	NOUN
ejpam-6749	736	4	number	number	NOUN
ejpam-6749	736	5	analysis	analysis	NOUN
ejpam-6749	736	6	2.1	2.1	NUM
ejpam-6749	736	7	theoretical	theoretical	ADJ
ejpam-6749	736	8	foundation	foundation	NOUN
ejpam-6749	736	9	the	the	DET
ejpam-6749	736	10	basic	basic	ADJ
ejpam-6749	736	11	reproduction	reproduction	NOUN
ejpam-6749	736	12	number	number	NOUN
ejpam-6749	736	13	is	be	AUX
ejpam-6749	736	14	de	de	X
ejpam-6749	736	15	�	�	NOUN
ejpam-6749	736	16	ned	ne	VERB
ejpam-6749	736	17	as	as	ADP
ejpam-6749	736	18	:	:	PUNCT
ejpam-6749	736	19	r0	r0	NOUN
ejpam-6749	736	20	=	=	SYM
ejpam-6749	736	21	βλ	βλ	PROPN
ejpam-6749	736	22	(	(	PUNCT
ejpam-6749	736	23	φ+	φ+	X
ejpam-6749	736	24	δ	δ	PROPN
ejpam-6749	736	25	+	+	CCONJ
ejpam-6749	736	26	µ)(µ+	µ)(µ+	PROPN
ejpam-6749	736	27	γ	γ	X
ejpam-6749	736	28	)	)	PUNCT
ejpam-6749	736	29	(	(	PUNCT
ejpam-6749	736	30	4	4	X
ejpam-6749	736	31	)	)	PUNCT
ejpam-6749	736	32	this	this	DET
ejpam-6749	736	33	threshold	threshold	NOUN
ejpam-6749	736	34	parameter	parameter	NOUN
ejpam-6749	736	35	determines	determine	VERB
ejpam-6749	736	36	the	the	DET
ejpam-6749	736	37	fate	fate	NOUN
ejpam-6749	736	38	of	of	ADP
ejpam-6749	736	39	terrorism	terrorism	NOUN
ejpam-6749	736	40	in	in	ADP
ejpam-6749	736	41	the	the	DET
ejpam-6749	736	42	population	population	NOUN
ejpam-6749	736	43	:	:	PUNCT
ejpam-6749	736	44	�	�	PROPN
ejpam-6749	736	45	r0	r0	VERB
ejpam-6749	736	46	<	<	NOUN
ejpam-6749	736	47	1	1	NUM
ejpam-6749	736	48	:	:	PUNCT
ejpam-6749	736	49	terrorism	terrorism	NOUN
ejpam-6749	736	50	elimination	elimination	NOUN
ejpam-6749	736	51	�	�	PROPN
ejpam-6749	736	52	r0	r0	NOUN
ejpam-6749	736	53	=	=	NOUN
ejpam-6749	736	54	1	1	NUM
ejpam-6749	736	55	:	:	PUNCT
ejpam-6749	736	56	critical	critical	ADJ
ejpam-6749	736	57	threshold	threshold	NOUN
ejpam-6749	736	58	�	�	PROPN
ejpam-6749	736	59	r0	r0	NOUN
ejpam-6749	736	60	>	>	X
ejpam-6749	737	1	1	1	NUM
ejpam-6749	737	2	:	:	PUNCT
ejpam-6749	737	3	endemic	endemic	ADJ
ejpam-6749	737	4	terrorism	terrorism	NOUN
ejpam-6749	737	5	4	4	NUM
ejpam-6749	737	6	figure	figure	NOUN
ejpam-6749	737	7	3	3	NUM
ejpam-6749	737	8	:	:	PUNCT
ejpam-6749	737	9	evolution	evolution	NOUN
ejpam-6749	737	10	of	of	ADP
ejpam-6749	737	11	population	population	NOUN
ejpam-6749	737	12	compartments	compartment	NOUN
ejpam-6749	737	13	over	over	ADP
ejpam-6749	737	14	20	20	NUM
ejpam-6749	737	15	years	year	NOUN
ejpam-6749	737	16	with	with	ADP
ejpam-6749	737	17	r0	r0	NOUN
ejpam-6749	737	18	=	=	PUNCT
ejpam-6749	737	19	2.49	2.49	NUM
ejpam-6749	737	20	>	>	SYM
ejpam-6749	737	21	1	1	NUM
ejpam-6749	737	22	figure	figure	NOUN
ejpam-6749	737	23	4	4	NUM
ejpam-6749	737	24	demonstrates	demonstrate	VERB
ejpam-6749	737	25	the	the	DET
ejpam-6749	737	26	linear	linear	ADJ
ejpam-6749	737	27	relationship	relationship	NOUN
ejpam-6749	737	28	between	between	ADP
ejpam-6749	737	29	transmission	transmission	NOUN
ejpam-6749	737	30	rate	rate	NOUN
ejpam-6749	737	31	and	and	CCONJ
ejpam-6749	737	32	r0	r0	NOUN
ejpam-6749	737	33	.	.	PUNCT
ejpam-6749	738	1	the	the	DET
ejpam-6749	738	2	critical	critical	ADJ
ejpam-6749	738	3	threshold	threshold	NOUN
ejpam-6749	738	4	at	at	ADP
ejpam-6749	738	5	r0	r0	NOUN
ejpam-6749	738	6	=	=	SYM
ejpam-6749	738	7	1	1	NUM
ejpam-6749	738	8	(	(	PUNCT
ejpam-6749	738	9	red	red	ADJ
ejpam-6749	738	10	dashed	dash	VERB
ejpam-6749	738	11	line	line	NOUN
ejpam-6749	738	12	)	)	PUNCT
ejpam-6749	738	13	separates	separate	VERB
ejpam-6749	738	14	the	the	DET
ejpam-6749	738	15	parameter	parameter	NOUN
ejpam-6749	738	16	space	space	NOUN
ejpam-6749	738	17	into	into	ADP
ejpam-6749	738	18	two	two	NUM
ejpam-6749	738	19	distinct	distinct	ADJ
ejpam-6749	738	20	regions	region	NOUN
ejpam-6749	738	21	.	.	PUNCT
ejpam-6749	739	1	below	below	ADP
ejpam-6749	739	2	this	this	DET
ejpam-6749	739	3	threshold	threshold	NOUN
ejpam-6749	739	4	,	,	PUNCT
ejpam-6749	739	5	any	any	DET
ejpam-6749	739	6	terrorist	terrorist	ADJ
ejpam-6749	739	7	introduction	introduction	NOUN
ejpam-6749	739	8	will	will	AUX
ejpam-6749	739	9	fail	fail	VERB
ejpam-6749	739	10	to	to	PART
ejpam-6749	739	11	establish	establish	VERB
ejpam-6749	739	12	persistent	persistent	ADJ
ejpam-6749	739	13	terrorism	terrorism	NOUN
ejpam-6749	739	14	.	.	PUNCT
ejpam-6749	740	1	above	above	ADP
ejpam-6749	740	2	it	it	PRON
ejpam-6749	740	3	,	,	PUNCT
ejpam-6749	740	4	terrorism	terrorism	NOUN
ejpam-6749	740	5	becomes	become	VERB
ejpam-6749	740	6	endemic	endemic	ADJ
ejpam-6749	740	7	.	.	PUNCT
ejpam-6749	741	1	this	this	DET
ejpam-6749	741	2	mathematical	mathematical	ADJ
ejpam-6749	741	3	structure	structure	NOUN
ejpam-6749	741	4	provides	provide	VERB
ejpam-6749	741	5	policymakers	policymaker	NOUN
ejpam-6749	741	6	with	with	ADP
ejpam-6749	741	7	a	a	DET
ejpam-6749	741	8	clear	clear	ADJ
ejpam-6749	741	9	quantitative	quantitative	ADJ
ejpam-6749	741	10	target	target	NOUN
ejpam-6749	741	11	for	for	ADP
ejpam-6749	741	12	intervention	intervention	NOUN
ejpam-6749	741	13	strategies	strategy	NOUN
ejpam-6749	741	14	.	.	PUNCT
ejpam-6749	742	1	figure	figure	NOUN
ejpam-6749	742	2	5	5	NUM
ejpam-6749	742	3	illustrates	illustrate	VERB
ejpam-6749	742	4	the	the	DET
ejpam-6749	742	5	global	global	ADJ
ejpam-6749	742	6	stability	stability	NOUN
ejpam-6749	742	7	properties	property	NOUN
ejpam-6749	742	8	of	of	ADP
ejpam-6749	742	9	the	the	DET
ejpam-6749	742	10	terrorism	terrorism	NOUN
ejpam-6749	742	11	model	model	NOUN
ejpam-6749	742	12	.	.	PUNCT
ejpam-6749	743	1	all	all	DET
ejpam-6749	743	2	trajectories	trajectory	NOUN
ejpam-6749	743	3	starting	start	VERB
ejpam-6749	743	4	from	from	ADP
ejpam-6749	743	5	different	different	ADJ
ejpam-6749	743	6	initial	initial	ADJ
ejpam-6749	743	7	conditions	condition	NOUN
ejpam-6749	743	8	converge	converge	VERB
ejpam-6749	743	9	to	to	ADP
ejpam-6749	743	10	the	the	DET
ejpam-6749	743	11	same	same	ADJ
ejpam-6749	743	12	endemic	endemic	ADJ
ejpam-6749	743	13	equilibrium	equilibrium	NOUN
ejpam-6749	743	14	point	point	NOUN
ejpam-6749	743	15	(	(	PUNCT
ejpam-6749	743	16	green	green	ADJ
ejpam-6749	743	17	circle	circle	PROPN
ejpam-6749	743	18	)	)	PUNCT
ejpam-6749	743	19	,	,	PUNCT
ejpam-6749	743	20	demonstrating	demonstrate	VERB
ejpam-6749	743	21	global	global	ADJ
ejpam-6749	743	22	asymptotic	asymptotic	ADJ
ejpam-6749	743	23	stability	stability	NOUN
ejpam-6749	743	24	.	.	PUNCT
ejpam-6749	744	1	the	the	DET
ejpam-6749	744	2	terrorism	terrorism	NOUN
ejpam-6749	744	3	-	-	PUNCT
ejpam-6749	744	4	free	free	ADJ
ejpam-6749	744	5	equim	equim	NOUN
ejpam-6749	744	6	.	.	PUNCT
ejpam-6749	745	1	zorom	zorom	VERB
ejpam-6749	745	2	et	et	PROPN
ejpam-6749	745	3	al	al	PROPN
ejpam-6749	745	4	.	.	PUNCT
ejpam-6749	745	5	/	/	SYM
ejpam-6749	745	6	eur	eur	PROPN
ejpam-6749	745	7	.	.	PUNCT
ejpam-6749	746	1	j.	j.	PROPN
ejpam-6749	746	2	pure	pure	PROPN
ejpam-6749	746	3	appl	appl	PROPN
ejpam-6749	746	4	.	.	PROPN
ejpam-6749	746	5	math	math	PROPN
ejpam-6749	746	6	,	,	PUNCT
ejpam-6749	746	7	18	18	NUM
ejpam-6749	746	8	(	(	PUNCT
ejpam-6749	746	9	4	4	NUM
ejpam-6749	746	10	)	)	PUNCT
ejpam-6749	746	11	(	(	PUNCT
ejpam-6749	746	12	2025	2025	NUM
ejpam-6749	746	13	)	)	PUNCT
ejpam-6749	746	14	,	,	PUNCT
ejpam-6749	746	15	6749	6749	NUM
ejpam-6749	746	16	32	32	NUM
ejpam-6749	746	17	of	of	ADP
ejpam-6749	746	18	47	47	NUM
ejpam-6749	746	19	mathematical	mathematical	ADJ
ejpam-6749	746	20	modeling	modeling	NOUN
ejpam-6749	746	21	&	&	CCONJ
ejpam-6749	746	22	simulation	simulation	PROPN
ejpam-6749	746	23	terrorism	terrorism	NOUN
ejpam-6749	746	24	dynamics	dynamic	VERB
ejpam-6749	746	25	analysis	analysis	NOUN
ejpam-6749	746	26	0	0	NUM
ejpam-6749	746	27	1	1	NUM
ejpam-6749	746	28	2	2	NUM
ejpam-6749	746	29	3	3	NUM
ejpam-6749	746	30	4	4	NUM
ejpam-6749	746	31	5	5	NUM
ejpam-6749	746	32	6	6	NUM
ejpam-6749	746	33	7	7	NUM
ejpam-6749	746	34	8	8	NUM
ejpam-6749	746	35	9	9	NUM
ejpam-6749	746	36	10	10	NUM
ejpam-6749	746	37	0	0	NUM
ejpam-6749	746	38	1	1	NUM
ejpam-6749	746	39	2	2	NUM
ejpam-6749	746	40	3	3	NUM
ejpam-6749	746	41	4	4	NUM
ejpam-6749	746	42	5	5	NUM
ejpam-6749	746	43	eliminationr0	eliminationr0	NOUN
ejpam-6749	746	44	<	<	X
ejpam-6749	746	45	1	1	NUM
ejpam-6749	746	46	endemic	endemic	ADJ
ejpam-6749	746	47	r0	r0	NOUN
ejpam-6749	746	48	>	>	SYM
ejpam-6749	746	49	1	1	NUM
ejpam-6749	746	50	transmission	transmission	NOUN
ejpam-6749	746	51	rate	rate	NOUN
ejpam-6749	746	52	β	β	X
ejpam-6749	746	53	(	(	PUNCT
ejpam-6749	746	54	×10−3	×10−3	PROPN
ejpam-6749	746	55	)	)	PUNCT
ejpam-6749	746	56	b	b	NOUN
ejpam-6749	746	57	a	a	DET
ejpam-6749	746	58	si	si	NOUN
ejpam-6749	746	59	c	c	NOUN
ejpam-6749	746	60	r	r	NOUN
ejpam-6749	746	61	e	e	NOUN
ejpam-6749	746	62	p	p	X
ejpam-6749	747	1	ro	ro	PROPN
ejpam-6749	748	1	d	d	X
ejpam-6749	748	2	u	u	X
ejpam-6749	748	3	c	c	NOUN
ejpam-6749	748	4	ti	ti	NOUN
ejpam-6749	748	5	o	o	PROPN
ejpam-6749	748	6	n	n	CCONJ
ejpam-6749	748	7	n	n	CCONJ
ejpam-6749	748	8	u	u	NOUN
ejpam-6749	748	9	m	m	PROPN
ejpam-6749	748	10	b	b	NOUN
ejpam-6749	748	11	e	e	NOUN
ejpam-6749	748	12	r	r	NOUN
ejpam-6749	748	13	r	r	NOUN
ejpam-6749	748	14	0	0	NUM
ejpam-6749	748	15	r0	r0	NOUN
ejpam-6749	748	16	dependence	dependence	NOUN
ejpam-6749	748	17	on	on	ADP
ejpam-6749	748	18	transmission	transmission	NOUN
ejpam-6749	748	19	rate	rate	NOUN
ejpam-6749	748	20	figure	figure	NOUN
ejpam-6749	748	21	2	2	NUM
ejpam-6749	748	22	:	:	PUNCT
ejpam-6749	748	23	critical	critical	ADJ
ejpam-6749	748	24	threshold	threshold	NOUN
ejpam-6749	748	25	behavior	behavior	NOUN
ejpam-6749	748	26	of	of	ADP
ejpam-6749	748	27	the	the	DET
ejpam-6749	748	28	basic	basic	ADJ
ejpam-6749	748	29	reproduction	reproduction	NOUN
ejpam-6749	748	30	number	number	NOUN
ejpam-6749	748	31	interpretation	interpretation	NOUN
ejpam-6749	748	32	:	:	PUNCT
ejpam-6749	748	33	figure	figure	NOUN
ejpam-6749	748	34	2	2	NUM
ejpam-6749	748	35	demonstrates	demonstrate	VERB
ejpam-6749	748	36	the	the	DET
ejpam-6749	748	37	linear	linear	ADJ
ejpam-6749	748	38	relationship	relationship	NOUN
ejpam-6749	748	39	between	between	ADP
ejpam-6749	748	40	transmission	transmission	NOUN
ejpam-6749	748	41	rate	rate	NOUN
ejpam-6749	748	42	and	and	CCONJ
ejpam-6749	748	43	r0	r0	NOUN
ejpam-6749	748	44	.	.	PUNCT
ejpam-6749	749	1	the	the	DET
ejpam-6749	749	2	critical	critical	ADJ
ejpam-6749	749	3	threshold	threshold	NOUN
ejpam-6749	749	4	at	at	ADP
ejpam-6749	749	5	r0	r0	NOUN
ejpam-6749	749	6	=	=	SYM
ejpam-6749	749	7	1	1	NUM
ejpam-6749	749	8	(	(	PUNCT
ejpam-6749	749	9	red	red	ADJ
ejpam-6749	749	10	dashed	dash	VERB
ejpam-6749	749	11	line	line	NOUN
ejpam-6749	749	12	)	)	PUNCT
ejpam-6749	749	13	separates	separate	VERB
ejpam-6749	749	14	the	the	DET
ejpam-6749	749	15	parameter	parameter	NOUN
ejpam-6749	749	16	space	space	NOUN
ejpam-6749	749	17	into	into	ADP
ejpam-6749	749	18	two	two	NUM
ejpam-6749	749	19	distinct	distinct	ADJ
ejpam-6749	749	20	regions	region	NOUN
ejpam-6749	749	21	.	.	PUNCT
ejpam-6749	750	1	below	below	ADP
ejpam-6749	750	2	this	this	DET
ejpam-6749	750	3	threshold	threshold	NOUN
ejpam-6749	750	4	,	,	PUNCT
ejpam-6749	750	5	any	any	DET
ejpam-6749	750	6	terrorist	terrorist	ADJ
ejpam-6749	750	7	introduction	introduction	NOUN
ejpam-6749	750	8	will	will	AUX
ejpam-6749	750	9	fail	fail	VERB
ejpam-6749	750	10	to	to	PART
ejpam-6749	750	11	establish	establish	VERB
ejpam-6749	750	12	persistent	persistent	ADJ
ejpam-6749	750	13	terrorism	terrorism	NOUN
ejpam-6749	750	14	.	.	PUNCT
ejpam-6749	751	1	above	above	ADP
ejpam-6749	751	2	it	it	PRON
ejpam-6749	751	3	,	,	PUNCT
ejpam-6749	751	4	terrorism	terrorism	NOUN
ejpam-6749	751	5	becomes	become	VERB
ejpam-6749	751	6	endemic	endemic	ADJ
ejpam-6749	751	7	.	.	PUNCT
ejpam-6749	752	1	this	this	DET
ejpam-6749	752	2	mathematical	mathematical	ADJ
ejpam-6749	752	3	structure	structure	NOUN
ejpam-6749	752	4	provides	provide	VERB
ejpam-6749	752	5	policymakers	policymaker	NOUN
ejpam-6749	752	6	with	with	ADP
ejpam-6749	752	7	a	a	DET
ejpam-6749	752	8	clear	clear	ADJ
ejpam-6749	752	9	quantitative	quantitative	ADJ
ejpam-6749	752	10	target	target	NOUN
ejpam-6749	752	11	for	for	ADP
ejpam-6749	752	12	intervention	intervention	NOUN
ejpam-6749	752	13	strategies	strategy	NOUN
ejpam-6749	752	14	.	.	PUNCT
ejpam-6749	753	1	3	3	NUM
ejpam-6749	753	2	phase	phase	NOUN
ejpam-6749	753	3	portrait	portrait	NOUN
ejpam-6749	753	4	and	and	CCONJ
ejpam-6749	753	5	stability	stability	NOUN
ejpam-6749	753	6	analysis	analysis	NOUN
ejpam-6749	753	7	3.1	3.1	NUM
ejpam-6749	753	8	phase	phase	NOUN
ejpam-6749	753	9	space	space	NOUN
ejpam-6749	753	10	dynamics	dynamic	NOUN
ejpam-6749	753	11	the	the	DET
ejpam-6749	753	12	phase	phase	NOUN
ejpam-6749	753	13	portrait	portrait	NOUN
ejpam-6749	753	14	in	in	ADP
ejpam-6749	753	15	the	the	DET
ejpam-6749	753	16	s	s	PROPN
ejpam-6749	753	17	-	-	PUNCT
ejpam-6749	753	18	t	t	NOUN
ejpam-6749	753	19	plane	plane	NOUN
ejpam-6749	753	20	reveals	reveal	VERB
ejpam-6749	753	21	the	the	DET
ejpam-6749	753	22	global	global	ADJ
ejpam-6749	753	23	behavior	behavior	NOUN
ejpam-6749	753	24	of	of	ADP
ejpam-6749	753	25	solution	solution	NOUN
ejpam-6749	753	26	trajectories	trajectory	NOUN
ejpam-6749	753	27	and	and	CCONJ
ejpam-6749	753	28	the	the	DET
ejpam-6749	753	29	location	location	NOUN
ejpam-6749	753	30	of	of	ADP
ejpam-6749	753	31	equilibrium	equilibrium	NOUN
ejpam-6749	753	32	points	point	NOUN
ejpam-6749	753	33	.	.	PUNCT
ejpam-6749	754	1	5	5	NUM
ejpam-6749	754	2	figure	figure	NOUN
ejpam-6749	754	3	4	4	NUM
ejpam-6749	754	4	:	:	PUNCT
ejpam-6749	754	5	critical	critical	ADJ
ejpam-6749	754	6	threshold	threshold	NOUN
ejpam-6749	754	7	behavior	behavior	NOUN
ejpam-6749	754	8	of	of	ADP
ejpam-6749	754	9	the	the	DET
ejpam-6749	754	10	basic	basic	ADJ
ejpam-6749	754	11	reproduction	reproduction	NOUN
ejpam-6749	754	12	number	number	NOUN
ejpam-6749	754	13	librium	librium	NOUN
ejpam-6749	754	14	(	(	PUNCT
ejpam-6749	754	15	red	red	PROPN
ejpam-6749	754	16	square	square	NOUN
ejpam-6749	754	17	)	)	PUNCT
ejpam-6749	754	18	is	be	AUX
ejpam-6749	754	19	unstable	unstable	ADJ
ejpam-6749	754	20	whenr0	whenr0	NOUN
ejpam-6749	754	21	>	>	X
ejpam-6749	754	22	1	1	NUM
ejpam-6749	754	23	,	,	PUNCT
ejpam-6749	754	24	meaning	mean	VERB
ejpam-6749	754	25	any	any	DET
ejpam-6749	754	26	small	small	ADJ
ejpam-6749	754	27	terrorist	terrorist	ADJ
ejpam-6749	754	28	introduction	introduction	NOUN
ejpam-6749	754	29	will	will	AUX
ejpam-6749	754	30	grow	grow	VERB
ejpam-6749	754	31	toward	toward	ADP
ejpam-6749	754	32	the	the	DET
ejpam-6749	754	33	endemic	endemic	ADJ
ejpam-6749	754	34	level	level	NOUN
ejpam-6749	754	35	.	.	PUNCT
ejpam-6749	755	1	this	this	DET
ejpam-6749	755	2	mathematical	mathematical	ADJ
ejpam-6749	755	3	property	property	NOUN
ejpam-6749	755	4	explains	explain	VERB
ejpam-6749	755	5	why	why	SCONJ
ejpam-6749	755	6	temporary	temporary	ADJ
ejpam-6749	755	7	reductions	reduction	NOUN
ejpam-6749	755	8	in	in	ADP
ejpam-6749	755	9	terrorist	terrorist	ADJ
ejpam-6749	755	10	activity	activity	NOUN
ejpam-6749	755	11	often	often	ADV
ejpam-6749	755	12	rebound	rebound	VERB
ejpam-6749	755	13	if	if	SCONJ
ejpam-6749	755	14	underlying	underlying	ADJ
ejpam-6749	755	15	conditions	condition	NOUN
ejpam-6749	755	16	remain	remain	VERB
ejpam-6749	755	17	unchanged.the	unchanged.the	DET
ejpam-6749	755	18	phase	phase	NOUN
ejpam-6749	755	19	portrait	portrait	NOUN
ejpam-6749	755	20	in	in	ADP
ejpam-6749	755	21	the	the	DET
ejpam-6749	755	22	s	s	PROPN
ejpam-6749	755	23	-	-	PUNCT
ejpam-6749	755	24	t	t	NOUN
ejpam-6749	755	25	plane	plane	NOUN
ejpam-6749	755	26	reveals	reveal	VERB
ejpam-6749	755	27	the	the	DET
ejpam-6749	755	28	global	global	ADJ
ejpam-6749	755	29	behavior	behavior	NOUN
ejpam-6749	755	30	of	of	ADP
ejpam-6749	755	31	solution	solution	NOUN
ejpam-6749	755	32	trajectories	trajectory	NOUN
ejpam-6749	755	33	and	and	CCONJ
ejpam-6749	755	34	the	the	DET
ejpam-6749	755	35	location	location	NOUN
ejpam-6749	755	36	of	of	ADP
ejpam-6749	755	37	equilibrium	equilibrium	NOUN
ejpam-6749	755	38	points	point	NOUN
ejpam-6749	755	39	.	.	PUNCT
ejpam-6749	756	1	figure	figure	VERB
ejpam-6749	756	2	6	6	NUM
ejpam-6749	756	3	presents	present	VERB
ejpam-6749	756	4	the	the	DET
ejpam-6749	756	5	bifurcation	bifurcation	NOUN
ejpam-6749	756	6	structure	structure	NOUN
ejpam-6749	756	7	of	of	ADP
ejpam-6749	756	8	equilibrium	equilibrium	NOUN
ejpam-6749	756	9	solutions	solution	NOUN
ejpam-6749	756	10	.	.	PUNCT
ejpam-6749	757	1	at	at	ADP
ejpam-6749	757	2	the	the	DET
ejpam-6749	757	3	critical	critical	ADJ
ejpam-6749	757	4	transmission	transmission	NOUN
ejpam-6749	757	5	rate	rate	NOUN
ejpam-6749	757	6	βc	βc	INTJ
ejpam-6749	757	7	(	(	PUNCT
ejpam-6749	757	8	blue	blue	ADJ
ejpam-6749	757	9	dashed	dash	VERB
ejpam-6749	757	10	line	line	NOUN
ejpam-6749	757	11	)	)	PUNCT
ejpam-6749	757	12	,	,	PUNCT
ejpam-6749	757	13	the	the	DET
ejpam-6749	757	14	system	system	NOUN
ejpam-6749	757	15	undergoes	undergo	VERB
ejpam-6749	757	16	a	a	DET
ejpam-6749	757	17	transcritical	transcritical	ADJ
ejpam-6749	757	18	bifurcation	bifurcation	NOUN
ejpam-6749	757	19	where	where	SCONJ
ejpam-6749	757	20	the	the	DET
ejpam-6749	757	21	endemic	endemic	ADJ
ejpam-6749	757	22	equilibrium	equilibrium	NOUN
ejpam-6749	757	23	branches	branch	NOUN
ejpam-6749	757	24	off	off	ADP
ejpam-6749	757	25	from	from	ADP
ejpam-6749	757	26	the	the	DET
ejpam-6749	757	27	terrorism	terrorism	NOUN
ejpam-6749	757	28	-	-	PUNCT
ejpam-6749	757	29	free	free	ADJ
ejpam-6749	757	30	equilibrium	equilibrium	NOUN
ejpam-6749	757	31	.	.	PUNCT
ejpam-6749	758	1	for	for	ADP
ejpam-6749	758	2	β	β	X
ejpam-6749	758	3	<	<	X
ejpam-6749	758	4	βc	βc	PROPN
ejpam-6749	758	5	,	,	PUNCT
ejpam-6749	758	6	only	only	ADV
ejpam-6749	758	7	the	the	DET
ejpam-6749	758	8	elimination	elimination	NOUN
ejpam-6749	758	9	state	state	NOUN
ejpam-6749	758	10	is	be	AUX
ejpam-6749	758	11	stable	stable	ADJ
ejpam-6749	758	12	.	.	PUNCT
ejpam-6749	759	1	for	for	ADP
ejpam-6749	759	2	β	β	X
ejpam-6749	759	3	>	>	X
ejpam-6749	759	4	βc	βc	PROPN
ejpam-6749	759	5	,	,	PUNCT
ejpam-6749	759	6	the	the	DET
ejpam-6749	759	7	endemic	endemic	ADJ
ejpam-6749	759	8	equilibrium	equilibrium	NOUN
ejpam-6749	759	9	exists	exist	VERB
ejpam-6749	759	10	and	and	CCONJ
ejpam-6749	759	11	is	be	AUX
ejpam-6749	759	12	stable	stable	ADJ
ejpam-6749	759	13	,	,	PUNCT
ejpam-6749	759	14	with	with	ADP
ejpam-6749	759	15	terrorist	terrorist	ADJ
ejpam-6749	759	16	population	population	NOUN
ejpam-6749	759	17	increasing	increase	VERB
ejpam-6749	759	18	monotonically	monotonically	ADV
ejpam-6749	759	19	with	with	ADP
ejpam-6749	759	20	transmission	transmission	NOUN
ejpam-6749	759	21	rate	rate	NOUN
ejpam-6749	759	22	.	.	PUNCT
ejpam-6749	760	1	this	this	DET
ejpam-6749	760	2	mathematical	mathematical	ADJ
ejpam-6749	760	3	structure	structure	NOUN
ejpam-6749	760	4	demonstrates	demonstrate	VERB
ejpam-6749	760	5	that	that	SCONJ
ejpam-6749	760	6	there	there	PRON
ejpam-6749	760	7	are	be	VERB
ejpam-6749	760	8	no	no	DET
ejpam-6749	760	9	intermediate	intermediate	ADJ
ejpam-6749	760	10	stable	stable	ADJ
ejpam-6749	760	11	states	state	NOUN
ejpam-6749	760	12	–	–	PUNCT
ejpam-6749	760	13	terrorism	terrorism	NOUN
ejpam-6749	760	14	either	either	CCONJ
ejpam-6749	760	15	dies	die	VERB
ejpam-6749	760	16	out	out	ADP
ejpam-6749	760	17	completely	completely	ADV
ejpam-6749	760	18	or	or	CCONJ
ejpam-6749	760	19	stabilizes	stabilize	VERB
ejpam-6749	760	20	at	at	ADP
ejpam-6749	760	21	an	an	DET
ejpam-6749	760	22	endemic	endemic	ADJ
ejpam-6749	760	23	level	level	NOUN
ejpam-6749	760	24	.	.	PUNCT
ejpam-6749	761	1	the	the	DET
ejpam-6749	761	2	system	system	NOUN
ejpam-6749	761	3	exhibits	exhibit	VERB
ejpam-6749	761	4	a	a	DET
ejpam-6749	761	5	transcritical	transcritical	ADJ
ejpam-6749	761	6	bifurcation	bifurcation	NOUN
ejpam-6749	761	7	when	when	SCONJ
ejpam-6749	761	8	r0	r0	NOUN
ejpam-6749	761	9	passes	pass	VERB
ejpam-6749	761	10	through	through	ADP
ejpam-6749	761	11	unity	unity	NOUN
ejpam-6749	761	12	,	,	PUNCT
ejpam-6749	761	13	representing	represent	VERB
ejpam-6749	761	14	a	a	DET
ejpam-6749	761	15	fundamental	fundamental	ADJ
ejpam-6749	761	16	qualitative	qualitative	ADJ
ejpam-6749	761	17	change	change	NOUN
ejpam-6749	761	18	in	in	ADP
ejpam-6749	761	19	system	system	NOUN
ejpam-6749	761	20	behavior	behavior	NOUN
ejpam-6749	761	21	.	.	PUNCT
ejpam-6749	762	1	figure	figure	VERB
ejpam-6749	762	2	7	7	NUM
ejpam-6749	762	3	illustrates	illustrate	VERB
ejpam-6749	762	4	the	the	DET
ejpam-6749	762	5	transcritical	transcritical	ADJ
ejpam-6749	762	6	bifurcation	bifurcation	NOUN
ejpam-6749	762	7	that	that	PRON
ejpam-6749	762	8	occurs	occur	VERB
ejpam-6749	762	9	at	at	ADP
ejpam-6749	762	10	r0	r0	NOUN
ejpam-6749	762	11	=	=	NOUN
ejpam-6749	762	12	1	1	X
ejpam-6749	762	13	.	.	PUNCT
ejpam-6749	763	1	the	the	DET
ejpam-6749	763	2	solid	solid	ADJ
ejpam-6749	763	3	red	red	ADJ
ejpam-6749	763	4	line	line	NOUN
ejpam-6749	763	5	represents	represent	VERB
ejpam-6749	763	6	the	the	DET
ejpam-6749	763	7	stable	stable	ADJ
ejpam-6749	763	8	endemic	endemic	ADJ
ejpam-6749	763	9	equilibrium	equilibrium	NOUN
ejpam-6749	763	10	branch	branch	NOUN
ejpam-6749	763	11	that	that	PRON
ejpam-6749	763	12	exists	exist	VERB
ejpam-6749	763	13	only	only	ADV
ejpam-6749	763	14	for	for	ADP
ejpam-6749	763	15	r0	r0	NOUN
ejpam-6749	763	16	>	>	X
ejpam-6749	763	17	1	1	X
ejpam-6749	763	18	.	.	PUNCT
ejpam-6749	764	1	the	the	DET
ejpam-6749	764	2	dotted	dotted	ADJ
ejpam-6749	764	3	blue	blue	ADJ
ejpam-6749	764	4	line	line	NOUN
ejpam-6749	764	5	shows	show	VERB
ejpam-6749	764	6	the	the	DET
ejpam-6749	764	7	terrorism	terrorism	NOUN
ejpam-6749	764	8	-	-	PUNCT
ejpam-6749	764	9	free	free	ADJ
ejpam-6749	764	10	equilibrium	equilibrium	NOUN
ejpam-6749	764	11	,	,	PUNCT
ejpam-6749	764	12	which	which	PRON
ejpam-6749	764	13	is	be	AUX
ejpam-6749	764	14	stable	stable	ADJ
ejpam-6749	764	15	for	for	ADP
ejpam-6749	764	16	r0	r0	NOUN
ejpam-6749	764	17	<	<	X
ejpam-6749	764	18	1	1	NUM
ejpam-6749	764	19	but	but	CCONJ
ejpam-6749	764	20	becomes	become	VERB
ejpam-6749	764	21	unstable	unstable	ADJ
ejpam-6749	764	22	for	for	ADP
ejpam-6749	764	23	r0	r0	NOUN
ejpam-6749	764	24	>	>	X
ejpam-6749	764	25	1	1	X
ejpam-6749	764	26	.	.	PUNCT
ejpam-6749	765	1	the	the	DET
ejpam-6749	765	2	arrows	arrow	NOUN
ejpam-6749	765	3	indicate	indicate	VERB
ejpam-6749	765	4	the	the	DET
ejpam-6749	765	5	direction	direction	NOUN
ejpam-6749	765	6	of	of	ADP
ejpam-6749	765	7	stability	stability	NOUN
ejpam-6749	765	8	:	:	PUNCT
ejpam-6749	765	9	trajectories	trajectory	NOUN
ejpam-6749	765	10	are	be	AUX
ejpam-6749	765	11	attracted	attract	VERB
ejpam-6749	765	12	to	to	ADP
ejpam-6749	765	13	stable	stable	ADJ
ejpam-6749	765	14	branches	branch	NOUN
ejpam-6749	765	15	and	and	CCONJ
ejpam-6749	765	16	repelled	repel	VERB
ejpam-6749	765	17	from	from	ADP
ejpam-6749	765	18	unstable	unstable	ADJ
ejpam-6749	765	19	ones	one	NOUN
ejpam-6749	765	20	.	.	PUNCT
ejpam-6749	766	1	this	this	DET
ejpam-6749	766	2	mathematical	mathematical	ADJ
ejpam-6749	766	3	structure	structure	NOUN
ejpam-6749	766	4	ensures	ensure	VERB
ejpam-6749	766	5	that	that	PRON
ejpam-6749	766	6	small	small	ADJ
ejpam-6749	766	7	parameter	parameter	NOUN
ejpam-6749	766	8	changes	change	NOUN
ejpam-6749	766	9	near	near	ADP
ejpam-6749	766	10	the	the	DET
ejpam-6749	766	11	threshold	threshold	NOUN
ejpam-6749	766	12	can	can	AUX
ejpam-6749	766	13	have	have	VERB
ejpam-6749	766	14	dramatic	dramatic	ADJ
ejpam-6749	766	15	effects	effect	NOUN
ejpam-6749	766	16	on	on	ADP
ejpam-6749	766	17	long	long	ADJ
ejpam-6749	766	18	-	-	PUNCT
ejpam-6749	766	19	term	term	NOUN
ejpam-6749	766	20	outcomes	outcome	NOUN
ejpam-6749	766	21	,	,	PUNCT
ejpam-6749	767	1	m.	m.	NOUN
ejpam-6749	767	2	zorom	zorom	NOUN
ejpam-6749	767	3	et	et	PROPN
ejpam-6749	767	4	al	al	PROPN
ejpam-6749	767	5	.	.	PUNCT
ejpam-6749	767	6	/	/	SYM
ejpam-6749	767	7	eur	eur	PROPN
ejpam-6749	767	8	.	.	PUNCT
ejpam-6749	768	1	j.	j.	PROPN
ejpam-6749	768	2	pure	pure	PROPN
ejpam-6749	768	3	appl	appl	PROPN
ejpam-6749	768	4	.	.	PROPN
ejpam-6749	768	5	math	math	PROPN
ejpam-6749	768	6	,	,	PUNCT
ejpam-6749	768	7	18	18	NUM
ejpam-6749	768	8	(	(	PUNCT
ejpam-6749	768	9	4	4	NUM
ejpam-6749	768	10	)	)	PUNCT
ejpam-6749	768	11	(	(	PUNCT
ejpam-6749	768	12	2025	2025	NUM
ejpam-6749	768	13	)	)	PUNCT
ejpam-6749	768	14	,	,	PUNCT
ejpam-6749	768	15	6749	6749	NUM
ejpam-6749	768	16	33	33	NUM
ejpam-6749	768	17	of	of	ADP
ejpam-6749	768	18	47	47	NUM
ejpam-6749	768	19	mathematical	mathematical	ADJ
ejpam-6749	768	20	modeling	modeling	NOUN
ejpam-6749	768	21	&	&	CCONJ
ejpam-6749	768	22	simulation	simulation	PROPN
ejpam-6749	768	23	terrorism	terrorism	NOUN
ejpam-6749	768	24	dynamics	dynamic	VERB
ejpam-6749	768	25	analysis	analysis	NOUN
ejpam-6749	768	26	0	0	NUM
ejpam-6749	768	27	0.1	0.1	NUM
ejpam-6749	768	28	0.2	0.2	NUM
ejpam-6749	768	29	0.3	0.3	NUM
ejpam-6749	768	30	0.4	0.4	NUM
ejpam-6749	768	31	0.5	0.5	NUM
ejpam-6749	768	32	0.6	0.6	NUM
ejpam-6749	768	33	0.7	0.7	NUM
ejpam-6749	768	34	0.8	0.8	NUM
ejpam-6749	768	35	0.9	0.9	NUM
ejpam-6749	768	36	1	1	NUM
ejpam-6749	768	37	1.1	1.1	NUM
ejpam-6749	768	38	1.2	1.2	NUM
ejpam-6749	768	39	1.3	1.3	NUM
ejpam-6749	768	40	1.4	1.4	NUM
ejpam-6749	768	41	1.5	1.5	NUM
ejpam-6749	768	42	·	·	SYM
ejpam-6749	768	43	104	104	NUM
ejpam-6749	768	44	0	0	NUM
ejpam-6749	768	45	50	50	NUM
ejpam-6749	768	46	100	100	NUM
ejpam-6749	768	47	150	150	NUM
ejpam-6749	768	48	200	200	NUM
ejpam-6749	768	49	dfe	dfe	PROPN
ejpam-6749	768	50	(	(	PUNCT
ejpam-6749	768	51	unstable	unstable	ADJ
ejpam-6749	768	52	)	)	PUNCT
ejpam-6749	768	53	endemic	endemic	ADJ
ejpam-6749	768	54	(	(	PUNCT
ejpam-6749	768	55	stable	stable	ADJ
ejpam-6749	768	56	)	)	PUNCT
ejpam-6749	768	57	susceptible	susceptible	ADJ
ejpam-6749	768	58	population	population	NOUN
ejpam-6749	768	59	(	(	PUNCT
ejpam-6749	768	60	s	s	NOUN
ejpam-6749	768	61	)	)	PUNCT
ejpam-6749	768	62	t	t	NOUN
ejpam-6749	768	63	e	e	NOUN
ejpam-6749	768	64	r	r	NOUN
ejpam-6749	768	65	r	r	NOUN
ejpam-6749	768	66	o	o	NOUN
ejpam-6749	768	67	r	r	NOUN
ejpam-6749	768	68	is	be	AUX
ejpam-6749	768	69	t	t	PROPN
ejpam-6749	768	70	p	p	NOUN
ejpam-6749	768	71	o	o	X
ejpam-6749	768	72	p	p	X
ejpam-6749	768	73	u	u	X
ejpam-6749	768	74	la	la	PROPN
ejpam-6749	768	75	t	t	PROPN
ejpam-6749	768	76	io	io	X
ejpam-6749	768	77	n	n	PROPN
ejpam-6749	768	78	(	(	PUNCT
ejpam-6749	768	79	t	t	NOUN
ejpam-6749	768	80	)	)	PUNCT
ejpam-6749	768	81	phase	phase	NOUN
ejpam-6749	768	82	portrait	portrait	NOUN
ejpam-6749	768	83	:	:	PUNCT
ejpam-6749	768	84	trajectory	trajectory	NOUN
ejpam-6749	768	85	convergence	convergence	NOUN
ejpam-6749	768	86	to	to	ADP
ejpam-6749	768	87	endemic	endemic	ADJ
ejpam-6749	768	88	equilibrium	equilibrium	NOUN
ejpam-6749	768	89	figure	figure	NOUN
ejpam-6749	768	90	3	3	NUM
ejpam-6749	768	91	:	:	PUNCT
ejpam-6749	768	92	phase	phase	NOUN
ejpam-6749	768	93	portrait	portrait	NOUN
ejpam-6749	768	94	showing	show	VERB
ejpam-6749	768	95	trajectory	trajectory	NOUN
ejpam-6749	768	96	convergence	convergence	NOUN
ejpam-6749	768	97	patterns	pattern	NOUN
ejpam-6749	768	98	interpretation	interpretation	NOUN
ejpam-6749	768	99	:	:	PUNCT
ejpam-6749	768	100	figure	figure	NOUN
ejpam-6749	768	101	3	3	NUM
ejpam-6749	768	102	illustrates	illustrate	VERB
ejpam-6749	768	103	the	the	DET
ejpam-6749	768	104	global	global	ADJ
ejpam-6749	768	105	stability	stability	NOUN
ejpam-6749	768	106	properties	property	NOUN
ejpam-6749	768	107	of	of	ADP
ejpam-6749	768	108	the	the	DET
ejpam-6749	768	109	terrorism	terrorism	NOUN
ejpam-6749	768	110	model	model	NOUN
ejpam-6749	768	111	.	.	PUNCT
ejpam-6749	769	1	all	all	DET
ejpam-6749	769	2	trajectories	trajectory	NOUN
ejpam-6749	769	3	starting	start	VERB
ejpam-6749	769	4	from	from	ADP
ejpam-6749	769	5	di	di	PROPN
ejpam-6749	769	6	�	�	PROPN
ejpam-6749	769	7	erent	erent	NOUN
ejpam-6749	769	8	initial	initial	ADJ
ejpam-6749	769	9	conditions	condition	NOUN
ejpam-6749	769	10	converge	converge	VERB
ejpam-6749	769	11	to	to	ADP
ejpam-6749	769	12	the	the	DET
ejpam-6749	769	13	same	same	ADJ
ejpam-6749	769	14	endemic	endemic	ADJ
ejpam-6749	769	15	equilibrium	equilibrium	NOUN
ejpam-6749	769	16	point	point	NOUN
ejpam-6749	769	17	(	(	PUNCT
ejpam-6749	769	18	green	green	ADJ
ejpam-6749	769	19	circle	circle	PROPN
ejpam-6749	769	20	)	)	PUNCT
ejpam-6749	769	21	,	,	PUNCT
ejpam-6749	769	22	demonstrating	demonstrate	VERB
ejpam-6749	769	23	global	global	ADJ
ejpam-6749	769	24	asymptotic	asymptotic	ADJ
ejpam-6749	769	25	stability	stability	NOUN
ejpam-6749	769	26	.	.	PUNCT
ejpam-6749	770	1	the	the	DET
ejpam-6749	770	2	disease	disease	NOUN
ejpam-6749	770	3	-	-	PUNCT
ejpam-6749	770	4	free	free	ADJ
ejpam-6749	770	5	equilibrium	equilibrium	NOUN
ejpam-6749	770	6	(	(	PUNCT
ejpam-6749	770	7	red	red	ADJ
ejpam-6749	770	8	square	square	NOUN
ejpam-6749	770	9	)	)	PUNCT
ejpam-6749	770	10	is	be	AUX
ejpam-6749	770	11	unstable	unstable	ADJ
ejpam-6749	770	12	whenr0	whenr0	NOUN
ejpam-6749	770	13	>	>	X
ejpam-6749	770	14	1	1	NUM
ejpam-6749	770	15	,	,	PUNCT
ejpam-6749	770	16	meaning	mean	VERB
ejpam-6749	770	17	any	any	DET
ejpam-6749	770	18	small	small	ADJ
ejpam-6749	770	19	terrorist	terrorist	ADJ
ejpam-6749	770	20	introduction	introduction	NOUN
ejpam-6749	770	21	will	will	AUX
ejpam-6749	770	22	grow	grow	VERB
ejpam-6749	770	23	toward	toward	ADP
ejpam-6749	770	24	the	the	DET
ejpam-6749	770	25	endemic	endemic	ADJ
ejpam-6749	770	26	level	level	NOUN
ejpam-6749	770	27	.	.	PUNCT
ejpam-6749	771	1	this	this	DET
ejpam-6749	771	2	mathematical	mathematical	ADJ
ejpam-6749	771	3	property	property	NOUN
ejpam-6749	771	4	explains	explain	VERB
ejpam-6749	771	5	why	why	SCONJ
ejpam-6749	771	6	temporary	temporary	ADJ
ejpam-6749	771	7	reductions	reduction	NOUN
ejpam-6749	771	8	in	in	ADP
ejpam-6749	771	9	terrorist	terrorist	ADJ
ejpam-6749	771	10	activity	activity	NOUN
ejpam-6749	771	11	often	often	ADV
ejpam-6749	771	12	rebound	rebound	VERB
ejpam-6749	771	13	if	if	SCONJ
ejpam-6749	771	14	underlying	underlying	ADJ
ejpam-6749	771	15	conditions	condition	NOUN
ejpam-6749	771	16	remain	remain	VERB
ejpam-6749	771	17	unchanged	unchanged	ADJ
ejpam-6749	771	18	.	.	PUNCT
ejpam-6749	772	1	3.2	3.2	NUM
ejpam-6749	772	2	equilibrium	equilibrium	NOUN
ejpam-6749	772	3	stability	stability	NOUN
ejpam-6749	772	4	as	as	ADP
ejpam-6749	772	5	function	function	NOUN
ejpam-6749	772	6	of	of	ADP
ejpam-6749	772	7	parameters	parameter	NOUN
ejpam-6749	772	8	0	0	NUM
ejpam-6749	772	9	5	5	NUM
ejpam-6749	772	10	10	10	NUM
ejpam-6749	772	11	15	15	NUM
ejpam-6749	772	12	20	20	NUM
ejpam-6749	772	13	25	25	NUM
ejpam-6749	772	14	30	30	NUM
ejpam-6749	772	15	35	35	NUM
ejpam-6749	772	16	40	40	NUM
ejpam-6749	772	17	45	45	NUM
ejpam-6749	772	18	50	50	NUM
ejpam-6749	772	19	0	0	NUM
ejpam-6749	772	20	50	50	NUM
ejpam-6749	772	21	100	100	NUM
ejpam-6749	772	22	150	150	NUM
ejpam-6749	772	23	200	200	NUM
ejpam-6749	772	24	bifurcation	bifurcation	NOUN
ejpam-6749	772	25	βc	βc	INTJ
ejpam-6749	772	26	elimination	elimination	NOUN
ejpam-6749	772	27	region	region	NOUN
ejpam-6749	772	28	endemic	endemic	ADJ
ejpam-6749	772	29	region	region	NOUN
ejpam-6749	772	30	transmission	transmission	NOUN
ejpam-6749	772	31	rate	rate	NOUN
ejpam-6749	772	32	β	β	X
ejpam-6749	772	33	(	(	PUNCT
ejpam-6749	772	34	×10−4	×10−4	NOUN
ejpam-6749	772	35	)	)	PUNCT
ejpam-6749	772	36	e	e	NOUN
ejpam-6749	772	37	q	q	PUNCT
ejpam-6749	772	38	u	u	X
ejpam-6749	772	39	il	il	PROPN
ejpam-6749	772	40	ib	ib	NOUN
ejpam-6749	772	41	r	r	PROPN
ejpam-6749	772	42	iu	iu	ADP
ejpam-6749	772	43	m	m	PROPN
ejpam-6749	772	44	t	t	NOUN
ejpam-6749	772	45	e	e	NOUN
ejpam-6749	772	46	r	r	NOUN
ejpam-6749	772	47	r	r	NOUN
ejpam-6749	772	48	o	o	NOUN
ejpam-6749	772	49	r	r	NOUN
ejpam-6749	772	50	is	be	AUX
ejpam-6749	772	51	t	t	PROPN
ejpam-6749	772	52	p	p	NOUN
ejpam-6749	772	53	o	o	X
ejpam-6749	772	54	p	p	X
ejpam-6749	772	55	u	u	X
ejpam-6749	772	56	la	la	PROPN
ejpam-6749	772	57	t	t	PROPN
ejpam-6749	772	58	io	io	PROPN
ejpam-6749	772	59	n	n	PRON
ejpam-6749	772	60	equilibrium	equilibrium	NOUN
ejpam-6749	772	61	analysis	analysis	NOUN
ejpam-6749	772	62	:	:	PUNCT
ejpam-6749	772	63	transition	transition	NOUN
ejpam-6749	772	64	from	from	ADP
ejpam-6749	772	65	elimination	elimination	NOUN
ejpam-6749	772	66	to	to	ADP
ejpam-6749	772	67	endemic	endemic	ADJ
ejpam-6749	772	68	state	state	NOUN
ejpam-6749	772	69	figure	figure	NOUN
ejpam-6749	772	70	4	4	NUM
ejpam-6749	772	71	:	:	PUNCT
ejpam-6749	772	72	bifurcation	bifurcation	NOUN
ejpam-6749	772	73	diagram	diagram	NOUN
ejpam-6749	772	74	showing	show	VERB
ejpam-6749	772	75	equilibrium	equilibrium	NOUN
ejpam-6749	772	76	terrorist	terrorist	ADJ
ejpam-6749	772	77	population	population	NOUN
ejpam-6749	772	78	6	6	NUM
ejpam-6749	772	79	figure	figure	NOUN
ejpam-6749	772	80	5	5	NUM
ejpam-6749	772	81	:	:	PUNCT
ejpam-6749	772	82	phase	phase	NOUN
ejpam-6749	772	83	portrait	portrait	NOUN
ejpam-6749	772	84	showing	show	VERB
ejpam-6749	772	85	trajectory	trajectory	NOUN
ejpam-6749	772	86	convergence	convergence	NOUN
ejpam-6749	772	87	patterns	pattern	NOUN
ejpam-6749	772	88	highlighting	highlight	VERB
ejpam-6749	772	89	the	the	DET
ejpam-6749	772	90	critical	critical	ADJ
ejpam-6749	772	91	importance	importance	NOUN
ejpam-6749	772	92	of	of	ADP
ejpam-6749	772	93	maintaining	maintain	VERB
ejpam-6749	772	94	r0	r0	NOUN
ejpam-6749	772	95	<	<	X
ejpam-6749	772	96	1	1	NUM
ejpam-6749	772	97	.	.	PUNCT
ejpam-6749	773	1	the	the	DET
ejpam-6749	773	2	sobol	sobol	NOUN
ejpam-6749	773	3	method	method	NOUN
ejpam-6749	773	4	decomposes	decompose	VERB
ejpam-6749	773	5	output	output	NOUN
ejpam-6749	773	6	variance	variance	NOUN
ejpam-6749	773	7	into	into	ADP
ejpam-6749	773	8	contributions	contribution	NOUN
ejpam-6749	773	9	from	from	ADP
ejpam-6749	773	10	individual	individual	ADJ
ejpam-6749	773	11	parameters	parameter	NOUN
ejpam-6749	773	12	and	and	CCONJ
ejpam-6749	773	13	their	their	PRON
ejpam-6749	773	14	interactions	interaction	NOUN
ejpam-6749	773	15	,	,	PUNCT
ejpam-6749	773	16	providing	provide	VERB
ejpam-6749	773	17	quantitative	quantitative	ADJ
ejpam-6749	773	18	measures	measure	NOUN
ejpam-6749	773	19	of	of	ADP
ejpam-6749	773	20	parameter	parameter	NOUN
ejpam-6749	773	21	importance	importance	NOUN
ejpam-6749	773	22	.	.	PUNCT
ejpam-6749	774	1	figure	figure	NOUN
ejpam-6749	774	2	8	8	NUM
ejpam-6749	774	3	reveals	reveal	VERB
ejpam-6749	774	4	critical	critical	ADJ
ejpam-6749	774	5	insights	insight	NOUN
ejpam-6749	774	6	into	into	ADP
ejpam-6749	774	7	parameter	parameter	NOUN
ejpam-6749	774	8	importance	importance	NOUN
ejpam-6749	774	9	.	.	PUNCT
ejpam-6749	775	1	the	the	DET
ejpam-6749	775	2	first	first	ADJ
ejpam-6749	775	3	-	-	PUNCT
ejpam-6749	775	4	order	order	NOUN
ejpam-6749	775	5	indices	index	NOUN
ejpam-6749	775	6	(	(	PUNCT
ejpam-6749	775	7	left	leave	VERB
ejpam-6749	775	8	panel	panel	NOUN
ejpam-6749	775	9	)	)	PUNCT
ejpam-6749	775	10	show	show	VERB
ejpam-6749	775	11	that	that	SCONJ
ejpam-6749	775	12	transmission	transmission	NOUN
ejpam-6749	775	13	rate	rate	NOUN
ejpam-6749	775	14	β	β	NOUN
ejpam-6749	775	15	dominates	dominate	VERB
ejpam-6749	775	16	direct	direct	ADJ
ejpam-6749	775	17	effects	effect	NOUN
ejpam-6749	775	18	(	(	PUNCT
ejpam-6749	775	19	75	75	NUM
ejpam-6749	775	20	%	%	NOUN
ejpam-6749	775	21	)	)	PUNCT
ejpam-6749	775	22	,	,	PUNCT
ejpam-6749	775	23	while	while	SCONJ
ejpam-6749	775	24	military	military	ADJ
ejpam-6749	775	25	elimination	elimination	NOUN
ejpam-6749	775	26	δ	δ	PROPN
ejpam-6749	775	27	contributes	contribute	VERB
ejpam-6749	775	28	only	only	ADV
ejpam-6749	775	29	25	25	NUM
ejpam-6749	775	30	%	%	NOUN
ejpam-6749	775	31	directly	directly	ADV
ejpam-6749	775	32	.	.	PUNCT
ejpam-6749	776	1	however	however	ADV
ejpam-6749	776	2	,	,	PUNCT
ejpam-6749	776	3	the	the	DET
ejpam-6749	776	4	total	total	ADJ
ejpam-6749	776	5	-	-	PUNCT
ejpam-6749	776	6	order	order	NOUN
ejpam-6749	776	7	indices	index	NOUN
ejpam-6749	776	8	(	(	PUNCT
ejpam-6749	776	9	right	right	ADJ
ejpam-6749	776	10	panel	panel	NOUN
ejpam-6749	776	11	)	)	PUNCT
ejpam-6749	776	12	tell	tell	VERB
ejpam-6749	776	13	a	a	DET
ejpam-6749	776	14	different	different	ADJ
ejpam-6749	776	15	story	story	NOUN
ejpam-6749	776	16	:	:	PUNCT
ejpam-6749	776	17	δ	δ	PROPN
ejpam-6749	776	18	becomes	become	VERB
ejpam-6749	776	19	the	the	DET
ejpam-6749	776	20	most	most	ADV
ejpam-6749	776	21	influential	influential	ADJ
ejpam-6749	776	22	parameter	parameter	NOUN
ejpam-6749	776	23	(	(	PUNCT
ejpam-6749	776	24	88	88	NUM
ejpam-6749	776	25	%	%	NOUN
ejpam-6749	776	26	)	)	PUNCT
ejpam-6749	776	27	when	when	SCONJ
ejpam-6749	776	28	interactions	interaction	NOUN
ejpam-6749	776	29	are	be	AUX
ejpam-6749	776	30	considered	consider	VERB
ejpam-6749	776	31	,	,	PUNCT
ejpam-6749	776	32	followed	follow	VERB
ejpam-6749	776	33	by	by	ADP
ejpam-6749	776	34	β	β	X
ejpam-6749	776	35	(	(	PUNCT
ejpam-6749	776	36	82	82	NUM
ejpam-6749	776	37	%	%	NOUN
ejpam-6749	776	38	)	)	PUNCT
ejpam-6749	776	39	and	and	CCONJ
ejpam-6749	776	40	deradicalization	deradicalization	NOUN
ejpam-6749	776	41	φ	φ	PROPN
ejpam-6749	776	42	(	(	PUNCT
ejpam-6749	776	43	45	45	NUM
ejpam-6749	776	44	%	%	NOUN
ejpam-6749	776	45	)	)	PUNCT
ejpam-6749	776	46	.	.	PUNCT
ejpam-6749	777	1	this	this	PRON
ejpam-6749	777	2	demonstrates	demonstrate	VERB
ejpam-6749	777	3	that	that	SCONJ
ejpam-6749	777	4	military	military	ADJ
ejpam-6749	777	5	intervention	intervention	NOUN
ejpam-6749	777	6	becomes	become	VERB
ejpam-6749	777	7	effective	effective	ADJ
ejpam-6749	777	8	only	only	ADV
ejpam-6749	777	9	when	when	SCONJ
ejpam-6749	777	10	combined	combine	VERB
ejpam-6749	777	11	with	with	ADP
ejpam-6749	777	12	other	other	ADJ
ejpam-6749	777	13	strategies	strategy	NOUN
ejpam-6749	777	14	,	,	PUNCT
ejpam-6749	777	15	supporting	support	VERB
ejpam-6749	777	16	the	the	DET
ejpam-6749	777	17	need	need	NOUN
ejpam-6749	777	18	for	for	ADP
ejpam-6749	777	19	integrated	integrate	VERB
ejpam-6749	777	20	approaches	approach	NOUN
ejpam-6749	777	21	.	.	PUNCT
ejpam-6749	778	1	figure	figure	NOUN
ejpam-6749	778	2	9	9	NUM
ejpam-6749	778	3	shows	show	VERB
ejpam-6749	778	4	how	how	SCONJ
ejpam-6749	778	5	parameter	parameter	NOUN
ejpam-6749	778	6	importance	importance	NOUN
ejpam-6749	778	7	changes	change	VERB
ejpam-6749	778	8	over	over	ADP
ejpam-6749	778	9	the	the	DET
ejpam-6749	778	10	course	course	NOUN
ejpam-6749	778	11	of	of	ADP
ejpam-6749	778	12	a	a	DET
ejpam-6749	778	13	terrorism	terrorism	NOUN
ejpam-6749	778	14	epidemic	epidemic	NOUN
ejpam-6749	778	15	.	.	PUNCT
ejpam-6749	779	1	initially	initially	ADV
ejpam-6749	779	2	,	,	PUNCT
ejpam-6749	779	3	transmission	transmission	NOUN
ejpam-6749	779	4	rate	rate	NOUN
ejpam-6749	779	5	β	β	X
ejpam-6749	779	6	dominates	dominate	VERB
ejpam-6749	779	7	(	(	PUNCT
ejpam-6749	779	8	85	85	NUM
ejpam-6749	779	9	%	%	NOUN
ejpam-6749	779	10	sensitivity	sensitivity	NOUN
ejpam-6749	779	11	)	)	PUNCT
ejpam-6749	779	12	,	,	PUNCT
ejpam-6749	779	13	reflecting	reflect	VERB
ejpam-6749	779	14	the	the	DET
ejpam-6749	779	15	critical	critical	ADJ
ejpam-6749	779	16	role	role	NOUN
ejpam-6749	779	17	of	of	ADP
ejpam-6749	779	18	preventing	prevent	VERB
ejpam-6749	779	19	radicalization	radicalization	NOUN
ejpam-6749	779	20	spread	spread	VERB
ejpam-6749	779	21	in	in	ADP
ejpam-6749	779	22	early	early	ADJ
ejpam-6749	779	23	stages	stage	NOUN
ejpam-6749	779	24	.	.	PUNCT
ejpam-6749	780	1	as	as	ADP
ejpam-6749	780	2	time	time	NOUN
ejpam-6749	780	3	progresses	progress	NOUN
ejpam-6749	780	4	,	,	PUNCT
ejpam-6749	780	5	military	military	ADJ
ejpam-6749	780	6	elimination	elimination	NOUN
ejpam-6749	780	7	δ	δ	PROPN
ejpam-6749	780	8	becomes	become	VERB
ejpam-6749	780	9	increasingly	increasingly	ADV
ejpam-6749	780	10	important	important	ADJ
ejpam-6749	780	11	,	,	PUNCT
ejpam-6749	780	12	reaching	reach	VERB
ejpam-6749	780	13	68	68	NUM
ejpam-6749	780	14	%	%	NOUN
ejpam-6749	780	15	by	by	ADP
ejpam-6749	780	16	year	year	NOUN
ejpam-6749	780	17	20	20	NUM
ejpam-6749	780	18	,	,	PUNCT
ejpam-6749	780	19	while	while	SCONJ
ejpam-6749	780	20	transmission	transmission	NOUN
ejpam-6749	780	21	effects	effect	NOUN
ejpam-6749	780	22	diminish	diminish	VERB
ejpam-6749	780	23	to	to	ADP
ejpam-6749	780	24	12	12	NUM
ejpam-6749	780	25	%	%	NOUN
ejpam-6749	780	26	.	.	PUNCT
ejpam-6749	781	1	deradicalization	deradicalization	NOUN
ejpam-6749	781	2	φ	φ	PROPN
ejpam-6749	781	3	shows	show	VERB
ejpam-6749	781	4	steady	steady	ADJ
ejpam-6749	781	5	growth	growth	NOUN
ejpam-6749	781	6	in	in	ADP
ejpam-6749	781	7	importance	importance	NOUN
ejpam-6749	781	8	(	(	PUNCT
ejpam-6749	781	9	5	5	NUM
ejpam-6749	781	10	%	%	NOUN
ejpam-6749	781	11	to	to	PART
ejpam-6749	781	12	42	42	NUM
ejpam-6749	781	13	%	%	NOUN
ejpam-6749	781	14	)	)	PUNCT
ejpam-6749	781	15	,	,	PUNCT
ejpam-6749	781	16	highlighting	highlight	VERB
ejpam-6749	781	17	its	its	PRON
ejpam-6749	781	18	long	long	ADJ
ejpam-6749	781	19	-	-	PUNCT
ejpam-6749	781	20	term	term	NOUN
ejpam-6749	781	21	value	value	NOUN
ejpam-6749	781	22	.	.	PUNCT
ejpam-6749	782	1	this	this	DET
ejpam-6749	782	2	temporal	temporal	ADJ
ejpam-6749	782	3	pattern	pattern	NOUN
ejpam-6749	782	4	suggests	suggest	VERB
ejpam-6749	782	5	that	that	SCONJ
ejpam-6749	782	6	effective	effective	ADJ
ejpam-6749	782	7	counter	counter	NOUN
ejpam-6749	782	8	-	-	NOUN
ejpam-6749	782	9	terrorism	terrorism	NOUN
ejpam-6749	782	10	requires	require	VERB
ejpam-6749	782	11	adaptive	adaptive	ADJ
ejpam-6749	782	12	strategies	strategy	NOUN
ejpam-6749	782	13	:	:	PUNCT
ejpam-6749	782	14	early	early	ADJ
ejpam-6749	782	15	focus	focus	NOUN
ejpam-6749	782	16	on	on	ADP
ejpam-6749	782	17	prevention	prevention	NOUN
ejpam-6749	782	18	and	and	CCONJ
ejpam-6749	782	19	containment	containment	NOUN
ejpam-6749	782	20	,	,	PUNCT
ejpam-6749	782	21	followed	follow	VERB
ejpam-6749	782	22	by	by	ADP
ejpam-6749	782	23	sustained	sustained	ADJ
ejpam-6749	782	24	military	military	ADJ
ejpam-6749	782	25	and	and	CCONJ
ejpam-6749	782	26	deradicalization	deradicalization	NOUN
ejpam-6749	782	27	efforts	effort	NOUN
ejpam-6749	782	28	.	.	PUNCT
ejpam-6749	783	1	figure	figure	NOUN
ejpam-6749	783	2	10	10	NUM
ejpam-6749	783	3	compares	compare	VERB
ejpam-6749	783	4	the	the	DET
ejpam-6749	783	5	effectiveness	effectiveness	NOUN
ejpam-6749	783	6	of	of	ADP
ejpam-6749	783	7	different	different	ADJ
ejpam-6749	783	8	intervention	intervention	NOUN
ejpam-6749	783	9	strategies	strategy	NOUN
ejpam-6749	783	10	.	.	PUNCT
ejpam-6749	784	1	the	the	DET
ejpam-6749	784	2	baseline	baseline	PROPN
ejpam-6749	784	3	scenario	scenario	NOUN
ejpam-6749	784	4	(	(	PUNCT
ejpam-6749	784	5	gray	gray	ADJ
ejpam-6749	784	6	)	)	PUNCT
ejpam-6749	784	7	shows	show	VERB
ejpam-6749	784	8	terrorism	terrorism	NOUN
ejpam-6749	784	9	stabilizing	stabilize	VERB
ejpam-6749	784	10	at	at	ADP
ejpam-6749	784	11	endemic	endemic	ADJ
ejpam-6749	784	12	levels	level	NOUN
ejpam-6749	784	13	around	around	ADP
ejpam-6749	784	14	149	149	NUM
ejpam-6749	784	15	individuals	individual	NOUN
ejpam-6749	784	16	.	.	PUNCT
ejpam-6749	785	1	m.	m.	NOUN
ejpam-6749	785	2	zorom	zorom	NOUN
ejpam-6749	785	3	et	et	PROPN
ejpam-6749	785	4	al	al	PROPN
ejpam-6749	785	5	.	.	PUNCT
ejpam-6749	785	6	/	/	SYM
ejpam-6749	785	7	eur	eur	PROPN
ejpam-6749	785	8	.	.	PUNCT
ejpam-6749	786	1	j.	j.	PROPN
ejpam-6749	786	2	pure	pure	PROPN
ejpam-6749	786	3	appl	appl	PROPN
ejpam-6749	786	4	.	.	PROPN
ejpam-6749	786	5	math	math	PROPN
ejpam-6749	786	6	,	,	PUNCT
ejpam-6749	786	7	18	18	NUM
ejpam-6749	786	8	(	(	PUNCT
ejpam-6749	786	9	4	4	NUM
ejpam-6749	786	10	)	)	PUNCT
ejpam-6749	786	11	(	(	PUNCT
ejpam-6749	786	12	2025	2025	NUM
ejpam-6749	786	13	)	)	PUNCT
ejpam-6749	786	14	,	,	PUNCT
ejpam-6749	786	15	6749	6749	NUM
ejpam-6749	786	16	34	34	NUM
ejpam-6749	786	17	of	of	ADP
ejpam-6749	786	18	47	47	NUM
ejpam-6749	786	19	mathematical	mathematical	ADJ
ejpam-6749	786	20	modeling	modeling	NOUN
ejpam-6749	786	21	&	&	CCONJ
ejpam-6749	786	22	simulation	simulation	PROPN
ejpam-6749	786	23	terrorism	terrorism	NOUN
ejpam-6749	786	24	dynamics	dynamic	VERB
ejpam-6749	786	25	analysis	analysis	NOUN
ejpam-6749	786	26	0	0	NUM
ejpam-6749	786	27	0.1	0.1	NUM
ejpam-6749	786	28	0.2	0.2	NUM
ejpam-6749	786	29	0.3	0.3	NUM
ejpam-6749	786	30	0.4	0.4	NUM
ejpam-6749	786	31	0.5	0.5	NUM
ejpam-6749	786	32	0.6	0.6	NUM
ejpam-6749	786	33	0.7	0.7	NUM
ejpam-6749	786	34	0.8	0.8	NUM
ejpam-6749	786	35	0.9	0.9	NUM
ejpam-6749	786	36	1	1	NUM
ejpam-6749	786	37	1.1	1.1	NUM
ejpam-6749	786	38	1.2	1.2	NUM
ejpam-6749	786	39	1.3	1.3	NUM
ejpam-6749	786	40	1.4	1.4	NUM
ejpam-6749	786	41	1.5	1.5	NUM
ejpam-6749	786	42	·	·	SYM
ejpam-6749	786	43	104	104	NUM
ejpam-6749	786	44	0	0	NUM
ejpam-6749	786	45	50	50	NUM
ejpam-6749	786	46	100	100	NUM
ejpam-6749	786	47	150	150	NUM
ejpam-6749	786	48	200	200	NUM
ejpam-6749	786	49	dfe	dfe	PROPN
ejpam-6749	786	50	(	(	PUNCT
ejpam-6749	786	51	unstable	unstable	ADJ
ejpam-6749	786	52	)	)	PUNCT
ejpam-6749	786	53	endemic	endemic	ADJ
ejpam-6749	786	54	(	(	PUNCT
ejpam-6749	786	55	stable	stable	ADJ
ejpam-6749	786	56	)	)	PUNCT
ejpam-6749	786	57	susceptible	susceptible	ADJ
ejpam-6749	786	58	population	population	NOUN
ejpam-6749	786	59	(	(	PUNCT
ejpam-6749	786	60	s	s	NOUN
ejpam-6749	786	61	)	)	PUNCT
ejpam-6749	786	62	t	t	NOUN
ejpam-6749	786	63	e	e	NOUN
ejpam-6749	786	64	r	r	NOUN
ejpam-6749	786	65	r	r	NOUN
ejpam-6749	786	66	o	o	NOUN
ejpam-6749	786	67	r	r	NOUN
ejpam-6749	786	68	is	be	AUX
ejpam-6749	786	69	t	t	PROPN
ejpam-6749	786	70	p	p	NOUN
ejpam-6749	786	71	o	o	X
ejpam-6749	786	72	p	p	X
ejpam-6749	786	73	u	u	X
ejpam-6749	786	74	la	la	PROPN
ejpam-6749	786	75	t	t	PROPN
ejpam-6749	786	76	io	io	X
ejpam-6749	786	77	n	n	PROPN
ejpam-6749	786	78	(	(	PUNCT
ejpam-6749	786	79	t	t	NOUN
ejpam-6749	786	80	)	)	PUNCT
ejpam-6749	786	81	phase	phase	NOUN
ejpam-6749	786	82	portrait	portrait	NOUN
ejpam-6749	786	83	:	:	PUNCT
ejpam-6749	786	84	trajectory	trajectory	NOUN
ejpam-6749	786	85	convergence	convergence	NOUN
ejpam-6749	786	86	to	to	ADP
ejpam-6749	786	87	endemic	endemic	ADJ
ejpam-6749	786	88	equilibrium	equilibrium	NOUN
ejpam-6749	786	89	figure	figure	NOUN
ejpam-6749	786	90	3	3	NUM
ejpam-6749	786	91	:	:	PUNCT
ejpam-6749	786	92	phase	phase	NOUN
ejpam-6749	786	93	portrait	portrait	NOUN
ejpam-6749	786	94	showing	show	VERB
ejpam-6749	786	95	trajectory	trajectory	NOUN
ejpam-6749	786	96	convergence	convergence	NOUN
ejpam-6749	786	97	patterns	pattern	NOUN
ejpam-6749	786	98	interpretation	interpretation	NOUN
ejpam-6749	786	99	:	:	PUNCT
ejpam-6749	786	100	figure	figure	NOUN
ejpam-6749	786	101	3	3	NUM
ejpam-6749	786	102	illustrates	illustrate	VERB
ejpam-6749	786	103	the	the	DET
ejpam-6749	786	104	global	global	ADJ
ejpam-6749	786	105	stability	stability	NOUN
ejpam-6749	786	106	properties	property	NOUN
ejpam-6749	786	107	of	of	ADP
ejpam-6749	786	108	the	the	DET
ejpam-6749	786	109	terrorism	terrorism	NOUN
ejpam-6749	786	110	model	model	NOUN
ejpam-6749	786	111	.	.	PUNCT
ejpam-6749	787	1	all	all	DET
ejpam-6749	787	2	trajectories	trajectory	NOUN
ejpam-6749	787	3	starting	start	VERB
ejpam-6749	787	4	from	from	ADP
ejpam-6749	787	5	di	di	PROPN
ejpam-6749	787	6	�	�	PROPN
ejpam-6749	787	7	erent	erent	NOUN
ejpam-6749	787	8	initial	initial	ADJ
ejpam-6749	787	9	conditions	condition	NOUN
ejpam-6749	787	10	converge	converge	VERB
ejpam-6749	787	11	to	to	ADP
ejpam-6749	787	12	the	the	DET
ejpam-6749	787	13	same	same	ADJ
ejpam-6749	787	14	endemic	endemic	ADJ
ejpam-6749	787	15	equilibrium	equilibrium	NOUN
ejpam-6749	787	16	point	point	NOUN
ejpam-6749	787	17	(	(	PUNCT
ejpam-6749	787	18	green	green	ADJ
ejpam-6749	787	19	circle	circle	PROPN
ejpam-6749	787	20	)	)	PUNCT
ejpam-6749	787	21	,	,	PUNCT
ejpam-6749	787	22	demonstrating	demonstrate	VERB
ejpam-6749	787	23	global	global	ADJ
ejpam-6749	787	24	asymptotic	asymptotic	ADJ
ejpam-6749	787	25	stability	stability	NOUN
ejpam-6749	787	26	.	.	PUNCT
ejpam-6749	788	1	the	the	DET
ejpam-6749	788	2	disease	disease	NOUN
ejpam-6749	788	3	-	-	PUNCT
ejpam-6749	788	4	free	free	ADJ
ejpam-6749	788	5	equilibrium	equilibrium	NOUN
ejpam-6749	788	6	(	(	PUNCT
ejpam-6749	788	7	red	red	ADJ
ejpam-6749	788	8	square	square	NOUN
ejpam-6749	788	9	)	)	PUNCT
ejpam-6749	788	10	is	be	AUX
ejpam-6749	788	11	unstable	unstable	ADJ
ejpam-6749	788	12	whenr0	whenr0	NOUN
ejpam-6749	788	13	>	>	X
ejpam-6749	788	14	1	1	NUM
ejpam-6749	788	15	,	,	PUNCT
ejpam-6749	788	16	meaning	mean	VERB
ejpam-6749	788	17	any	any	DET
ejpam-6749	788	18	small	small	ADJ
ejpam-6749	788	19	terrorist	terrorist	ADJ
ejpam-6749	788	20	introduction	introduction	NOUN
ejpam-6749	788	21	will	will	AUX
ejpam-6749	788	22	grow	grow	VERB
ejpam-6749	788	23	toward	toward	ADP
ejpam-6749	788	24	the	the	DET
ejpam-6749	788	25	endemic	endemic	ADJ
ejpam-6749	788	26	level	level	NOUN
ejpam-6749	788	27	.	.	PUNCT
ejpam-6749	789	1	this	this	DET
ejpam-6749	789	2	mathematical	mathematical	ADJ
ejpam-6749	789	3	property	property	NOUN
ejpam-6749	789	4	explains	explain	VERB
ejpam-6749	789	5	why	why	SCONJ
ejpam-6749	789	6	temporary	temporary	ADJ
ejpam-6749	789	7	reductions	reduction	NOUN
ejpam-6749	789	8	in	in	ADP
ejpam-6749	789	9	terrorist	terrorist	ADJ
ejpam-6749	789	10	activity	activity	NOUN
ejpam-6749	789	11	often	often	ADV
ejpam-6749	789	12	rebound	rebound	VERB
ejpam-6749	789	13	if	if	SCONJ
ejpam-6749	789	14	underlying	underlying	ADJ
ejpam-6749	789	15	conditions	condition	NOUN
ejpam-6749	789	16	remain	remain	VERB
ejpam-6749	789	17	unchanged	unchanged	ADJ
ejpam-6749	789	18	.	.	PUNCT
ejpam-6749	790	1	3.2	3.2	NUM
ejpam-6749	790	2	equilibrium	equilibrium	NOUN
ejpam-6749	790	3	stability	stability	NOUN
ejpam-6749	790	4	as	as	ADP
ejpam-6749	790	5	function	function	NOUN
ejpam-6749	790	6	of	of	ADP
ejpam-6749	790	7	parameters	parameter	NOUN
ejpam-6749	790	8	0	0	NUM
ejpam-6749	790	9	5	5	NUM
ejpam-6749	790	10	10	10	NUM
ejpam-6749	790	11	15	15	NUM
ejpam-6749	790	12	20	20	NUM
ejpam-6749	790	13	25	25	NUM
ejpam-6749	790	14	30	30	NUM
ejpam-6749	790	15	35	35	NUM
ejpam-6749	790	16	40	40	NUM
ejpam-6749	790	17	45	45	NUM
ejpam-6749	790	18	50	50	NUM
ejpam-6749	790	19	0	0	NUM
ejpam-6749	790	20	50	50	NUM
ejpam-6749	790	21	100	100	NUM
ejpam-6749	790	22	150	150	NUM
ejpam-6749	790	23	200	200	NUM
ejpam-6749	790	24	bifurcation	bifurcation	NOUN
ejpam-6749	790	25	βc	βc	INTJ
ejpam-6749	790	26	elimination	elimination	NOUN
ejpam-6749	790	27	region	region	NOUN
ejpam-6749	790	28	endemic	endemic	ADJ
ejpam-6749	790	29	region	region	NOUN
ejpam-6749	790	30	transmission	transmission	NOUN
ejpam-6749	790	31	rate	rate	NOUN
ejpam-6749	790	32	β	β	X
ejpam-6749	790	33	(	(	PUNCT
ejpam-6749	790	34	×10−4	×10−4	NOUN
ejpam-6749	790	35	)	)	PUNCT
ejpam-6749	790	36	e	e	NOUN
ejpam-6749	790	37	q	q	PUNCT
ejpam-6749	790	38	u	u	X
ejpam-6749	790	39	il	il	PROPN
ejpam-6749	790	40	ib	ib	NOUN
ejpam-6749	790	41	r	r	PROPN
ejpam-6749	790	42	iu	iu	ADP
ejpam-6749	790	43	m	m	PROPN
ejpam-6749	790	44	t	t	NOUN
ejpam-6749	790	45	e	e	NOUN
ejpam-6749	790	46	r	r	NOUN
ejpam-6749	790	47	r	r	NOUN
ejpam-6749	790	48	o	o	NOUN
ejpam-6749	790	49	r	r	NOUN
ejpam-6749	790	50	is	be	AUX
ejpam-6749	790	51	t	t	PROPN
ejpam-6749	790	52	p	p	NOUN
ejpam-6749	790	53	o	o	X
ejpam-6749	790	54	p	p	X
ejpam-6749	790	55	u	u	X
ejpam-6749	790	56	la	la	PROPN
ejpam-6749	790	57	t	t	PROPN
ejpam-6749	790	58	io	io	PROPN
ejpam-6749	790	59	n	n	PRON
ejpam-6749	790	60	equilibrium	equilibrium	NOUN
ejpam-6749	790	61	analysis	analysis	NOUN
ejpam-6749	790	62	:	:	PUNCT
ejpam-6749	790	63	transition	transition	NOUN
ejpam-6749	790	64	from	from	ADP
ejpam-6749	790	65	elimination	elimination	NOUN
ejpam-6749	790	66	to	to	ADP
ejpam-6749	790	67	endemic	endemic	ADJ
ejpam-6749	790	68	state	state	NOUN
ejpam-6749	790	69	figure	figure	NOUN
ejpam-6749	790	70	4	4	NUM
ejpam-6749	790	71	:	:	PUNCT
ejpam-6749	790	72	bifurcation	bifurcation	NOUN
ejpam-6749	790	73	diagram	diagram	NOUN
ejpam-6749	790	74	showing	show	VERB
ejpam-6749	790	75	equilibrium	equilibrium	NOUN
ejpam-6749	790	76	terrorist	terrorist	ADJ
ejpam-6749	790	77	population	population	NOUN
ejpam-6749	790	78	6	6	NUM
ejpam-6749	790	79	figure	figure	NOUN
ejpam-6749	790	80	6	6	NUM
ejpam-6749	790	81	:	:	PUNCT
ejpam-6749	790	82	bifurcation	bifurcation	NOUN
ejpam-6749	790	83	diagram	diagram	NOUN
ejpam-6749	790	84	showing	show	VERB
ejpam-6749	790	85	equilibrium	equilibrium	NOUN
ejpam-6749	790	86	terrorist	terrorist	ADJ
ejpam-6749	790	87	population	population	NOUN
ejpam-6749	790	88	military	military	NOUN
ejpam-6749	790	89	-	-	PUNCT
ejpam-6749	790	90	only	only	ADV
ejpam-6749	790	91	intervention	intervention	NOUN
ejpam-6749	790	92	(	(	PUNCT
ejpam-6749	790	93	red	red	ADJ
ejpam-6749	790	94	)	)	PUNCT
ejpam-6749	790	95	provides	provide	VERB
ejpam-6749	790	96	moderate	moderate	ADJ
ejpam-6749	790	97	reduction	reduction	NOUN
ejpam-6749	790	98	to	to	ADP
ejpam-6749	790	99	approximately	approximately	ADV
ejpam-6749	790	100	112	112	NUM
ejpam-6749	790	101	individuals	individual	NOUN
ejpam-6749	790	102	but	but	CCONJ
ejpam-6749	790	103	fails	fail	VERB
ejpam-6749	790	104	to	to	PART
ejpam-6749	790	105	eliminate	eliminate	VERB
ejpam-6749	790	106	terrorism	terrorism	NOUN
ejpam-6749	790	107	.	.	PUNCT
ejpam-6749	791	1	prevention	prevention	NOUN
ejpam-6749	791	2	-	-	PUNCT
ejpam-6749	791	3	only	only	ADV
ejpam-6749	791	4	approaches	approach	NOUN
ejpam-6749	791	5	(	(	PUNCT
ejpam-6749	791	6	orange	orange	PROPN
ejpam-6749	791	7	)	)	PUNCT
ejpam-6749	791	8	initially	initially	ADV
ejpam-6749	791	9	show	show	VERB
ejpam-6749	791	10	slower	slow	ADJ
ejpam-6749	791	11	progress	progress	NOUN
ejpam-6749	791	12	but	but	CCONJ
ejpam-6749	791	13	eventually	eventually	ADV
ejpam-6749	791	14	achieve	achieve	VERB
ejpam-6749	791	15	near	near	ADJ
ejpam-6749	791	16	-	-	PUNCT
ejpam-6749	791	17	elimination	elimination	NOUN
ejpam-6749	791	18	by	by	ADP
ejpam-6749	791	19	year	year	NOUN
ejpam-6749	791	20	20	20	NUM
ejpam-6749	791	21	.	.	PUNCT
ejpam-6749	792	1	the	the	DET
ejpam-6749	792	2	combined	combined	ADJ
ejpam-6749	792	3	strategy	strategy	NOUN
ejpam-6749	792	4	(	(	PUNCT
ejpam-6749	792	5	green	green	ADJ
ejpam-6749	792	6	)	)	PUNCT
ejpam-6749	792	7	demonstrates	demonstrate	VERB
ejpam-6749	792	8	optimal	optimal	ADJ
ejpam-6749	792	9	performance	performance	NOUN
ejpam-6749	792	10	,	,	PUNCT
ejpam-6749	792	11	rapidly	rapidly	ADV
ejpam-6749	792	12	reducing	reduce	VERB
ejpam-6749	792	13	terrorism	terrorism	NOUN
ejpam-6749	792	14	to	to	ADP
ejpam-6749	792	15	negligible	negligible	ADJ
ejpam-6749	792	16	levels	level	NOUN
ejpam-6749	792	17	within	within	ADP
ejpam-6749	792	18	15	15	NUM
ejpam-6749	792	19	years	year	NOUN
ejpam-6749	792	20	.	.	PUNCT
ejpam-6749	793	1	this	this	DET
ejpam-6749	793	2	analysis	analysis	NOUN
ejpam-6749	793	3	strongly	strongly	ADV
ejpam-6749	793	4	supports	support	VERB
ejpam-6749	793	5	the	the	DET
ejpam-6749	793	6	paper	paper	NOUN
ejpam-6749	793	7	’s	’s	PART
ejpam-6749	793	8	central	central	ADJ
ejpam-6749	793	9	conclusion	conclusion	NOUN
ejpam-6749	793	10	that	that	SCONJ
ejpam-6749	793	11	integrated	integrate	VERB
ejpam-6749	793	12	approaches	approach	NOUN
ejpam-6749	793	13	combining	combine	VERB
ejpam-6749	793	14	military	military	ADJ
ejpam-6749	793	15	action	action	NOUN
ejpam-6749	793	16	with	with	ADP
ejpam-6749	793	17	prevention	prevention	NOUN
ejpam-6749	793	18	and	and	CCONJ
ejpam-6749	793	19	deradicalization	deradicalization	NOUN
ejpam-6749	793	20	are	be	AUX
ejpam-6749	793	21	essential	essential	ADJ
ejpam-6749	793	22	for	for	ADP
ejpam-6749	793	23	sustainable	sustainable	ADJ
ejpam-6749	793	24	terrorism	terrorism	NOUN
ejpam-6749	793	25	elimination	elimination	NOUN
ejpam-6749	793	26	.	.	PUNCT
ejpam-6749	794	1	global	global	ADJ
ejpam-6749	794	2	sensitivity	sensitivity	NOUN
ejpam-6749	794	3	analysis	analysis	NOUN
ejpam-6749	794	4	via	via	ADP
ejpam-6749	794	5	the	the	DET
ejpam-6749	794	6	sobol	sobol	NOUN
ejpam-6749	794	7	method	method	NOUN
ejpam-6749	794	8	identifies	identify	VERB
ejpam-6749	794	9	the	the	DET
ejpam-6749	794	10	neutralization	neutralization	NOUN
ejpam-6749	794	11	rate	rate	NOUN
ejpam-6749	794	12	of	of	ADP
ejpam-6749	794	13	terrorist	terrorist	ADJ
ejpam-6749	794	14	groups	group	NOUN
ejpam-6749	794	15	as	as	ADP
ejpam-6749	794	16	the	the	DET
ejpam-6749	794	17	sole	sole	ADJ
ejpam-6749	794	18	parameter	parameter	NOUN
ejpam-6749	794	19	exhibiting	exhibit	VERB
ejpam-6749	794	20	significant	significant	ADJ
ejpam-6749	794	21	long	long	ADJ
ejpam-6749	794	22	-	-	PUNCT
ejpam-6749	794	23	term	term	NOUN
ejpam-6749	794	24	efficacy	efficacy	NOUN
ejpam-6749	794	25	in	in	ADP
ejpam-6749	794	26	counterterrorism	counterterrorism	NOUN
ejpam-6749	794	27	dynamics	dynamic	NOUN
ejpam-6749	794	28	.	.	PUNCT
ejpam-6749	795	1	this	this	DET
ejpam-6749	795	2	effect	effect	NOUN
ejpam-6749	795	3	remains	remain	VERB
ejpam-6749	795	4	invariant	invariant	ADJ
ejpam-6749	795	5	to	to	PART
ejpam-6749	795	6	baseline	baseline	VERB
ejpam-6749	795	7	reproduction	reproduction	NOUN
ejpam-6749	795	8	rate	rate	NOUN
ejpam-6749	795	9	(	(	PUNCT
ejpam-6749	795	10	r′	r′	NUM
ejpam-6749	795	11	)	)	PUNCT
ejpam-6749	795	12	variations	variation	NOUN
ejpam-6749	795	13	across	across	ADP
ejpam-6749	795	14	tested	test	VERB
ejpam-6749	795	15	parameterizations	parameterization	NOUN
ejpam-6749	795	16	.	.	PUNCT
ejpam-6749	796	1	first	first	ADJ
ejpam-6749	796	2	-	-	PUNCT
ejpam-6749	796	3	order	order	NOUN
ejpam-6749	796	4	sensitivity	sensitivity	NOUN
ejpam-6749	796	5	indices	index	NOUN
ejpam-6749	796	6	inadequately	inadequately	ADV
ejpam-6749	796	7	capture	capture	VERB
ejpam-6749	796	8	the	the	DET
ejpam-6749	796	9	marginal	marginal	ADJ
ejpam-6749	796	10	utility	utility	NOUN
ejpam-6749	796	11	of	of	ADP
ejpam-6749	796	12	militarized	militarized	ADJ
ejpam-6749	796	13	approaches	approach	NOUN
ejpam-6749	796	14	.	.	PUNCT
ejpam-6749	797	1	empirical	empirical	ADJ
ejpam-6749	797	2	observation	observation	NOUN
ejpam-6749	797	3	confirms	confirm	VERB
ejpam-6749	797	4	persistent	persistent	ADJ
ejpam-6749	797	5	terrorism	terrorism	NOUN
ejpam-6749	797	6	recurrence	recurrence	NOUN
ejpam-6749	797	7	despite	despite	SCONJ
ejpam-6749	797	8	substantial	substantial	ADJ
ejpam-6749	797	9	augmentation	augmentation	NOUN
ejpam-6749	797	10	of	of	ADP
ejpam-6749	797	11	counter	counter	ADJ
ejpam-6749	797	12	-	-	ADJ
ejpam-6749	797	13	terrorism	terrorism	ADJ
ejpam-6749	797	14	expenditures	expenditure	NOUN
ejpam-6749	797	15	across	across	ADP
ejpam-6749	797	16	sahel	sahel	PROPN
ejpam-6749	797	17	states	state	NOUN
ejpam-6749	797	18	indicative	indicative	ADJ
ejpam-6749	797	19	of	of	ADP
ejpam-6749	797	20	monocausal	monocausal	ADJ
ejpam-6749	797	21	securitization	securitization	NOUN
ejpam-6749	797	22	inefficacy	inefficacy	NOUN
ejpam-6749	797	23	.	.	PUNCT
ejpam-6749	798	1	total	total	ADJ
ejpam-6749	798	2	-	-	PUNCT
ejpam-6749	798	3	order	order	NOUN
ejpam-6749	798	4	sensitivity	sensitivity	NOUN
ejpam-6749	798	5	analysis	analysis	NOUN
ejpam-6749	798	6	demonstrates	demonstrate	VERB
ejpam-6749	798	7	that	that	SCONJ
ejpam-6749	798	8	sustainable	sustainable	ADJ
ejpam-6749	798	9	terrorism	terrorism	NOUN
ejpam-6749	798	10	mitigation	mitigation	NOUN
ejpam-6749	798	11	requires	require	VERB
ejpam-6749	798	12	synergistic	synergistic	ADJ
ejpam-6749	798	13	integration	integration	NOUN
ejpam-6749	798	14	of	of	ADP
ejpam-6749	798	15	three	three	NUM
ejpam-6749	798	16	mechanisms	mechanism	NOUN
ejpam-6749	798	17	:	:	PUNCT
ejpam-6749	798	18	kinetic	kinetic	ADJ
ejpam-6749	798	19	neutralization	neutralization	NOUN
ejpam-6749	798	20	of	of	ADP
ejpam-6749	798	21	terrorist	terrorist	ADJ
ejpam-6749	798	22	actors	actor	NOUN
ejpam-6749	798	23	,	,	PUNCT
ejpam-6749	798	24	radicalization	radicalization	NOUN
ejpam-6749	798	25	prevention	prevention	NOUN
ejpam-6749	798	26	through	through	ADP
ejpam-6749	798	27	societal	societal	ADJ
ejpam-6749	798	28	resilience	resilience	NOUN
ejpam-6749	798	29	programming	programming	NOUN
ejpam-6749	798	30	and	and	CCONJ
ejpam-6749	798	31	deradicalization	deradicalization	NOUN
ejpam-6749	798	32	via	via	ADP
ejpam-6749	798	33	cognitive	cognitive	ADJ
ejpam-6749	798	34	restructuring	restructuring	NOUN
ejpam-6749	798	35	.	.	PUNCT
ejpam-6749	799	1	this	this	DET
ejpam-6749	799	2	tripartite	tripartite	ADJ
ejpam-6749	799	3	framework	framework	NOUN
ejpam-6749	799	4	constitutes	constitute	VERB
ejpam-6749	799	5	an	an	DET
ejpam-6749	799	6	optimal	optimal	ADJ
ejpam-6749	799	7	policy	policy	NOUN
ejpam-6749	799	8	configuration	configuration	NOUN
ejpam-6749	799	9	,	,	PUNCT
ejpam-6749	799	10	with	with	ADP
ejpam-6749	799	11	ideological	ideological	ADJ
ejpam-6749	799	12	counter	counter	NOUN
ejpam-6749	799	13	-	-	NOUN
ejpam-6749	799	14	narratives	narrative	NOUN
ejpam-6749	799	15	serving	serve	VERB
ejpam-6749	799	16	as	as	ADP
ejpam-6749	799	17	essential	essential	ADJ
ejpam-6749	799	18	components	component	NOUN
ejpam-6749	799	19	in	in	ADP
ejpam-6749	799	20	endemic	endemic	ADJ
ejpam-6749	799	21	terrorism	terrorism	NOUN
ejpam-6749	799	22	contexts	contexts	NOUN
ejpam-6749	799	23	.	.	PUNCT
ejpam-6749	800	1	m.	m.	NOUN
ejpam-6749	800	2	zorom	zorom	NOUN
ejpam-6749	800	3	et	et	PROPN
ejpam-6749	800	4	al	al	PROPN
ejpam-6749	800	5	.	.	PUNCT
ejpam-6749	800	6	/	/	SYM
ejpam-6749	800	7	eur	eur	PROPN
ejpam-6749	800	8	.	.	PUNCT
ejpam-6749	801	1	j.	j.	PROPN
ejpam-6749	801	2	pure	pure	PROPN
ejpam-6749	801	3	appl	appl	PROPN
ejpam-6749	801	4	.	.	PROPN
ejpam-6749	801	5	math	math	PROPN
ejpam-6749	801	6	,	,	PUNCT
ejpam-6749	801	7	18	18	NUM
ejpam-6749	801	8	(	(	PUNCT
ejpam-6749	801	9	4	4	NUM
ejpam-6749	801	10	)	)	PUNCT
ejpam-6749	801	11	(	(	PUNCT
ejpam-6749	801	12	2025	2025	NUM
ejpam-6749	801	13	)	)	PUNCT
ejpam-6749	801	14	,	,	PUNCT
ejpam-6749	801	15	6749	6749	NUM
ejpam-6749	801	16	35	35	NUM
ejpam-6749	801	17	of	of	ADP
ejpam-6749	801	18	47	47	NUM
ejpam-6749	801	19	mathematical	mathematical	ADJ
ejpam-6749	801	20	modeling	modeling	NOUN
ejpam-6749	801	21	&	&	CCONJ
ejpam-6749	801	22	simulation	simulation	PROPN
ejpam-6749	801	23	terrorism	terrorism	NOUN
ejpam-6749	801	24	dynamics	dynamic	VERB
ejpam-6749	801	25	analysis	analysis	NOUN
ejpam-6749	801	26	interpretation	interpretation	NOUN
ejpam-6749	801	27	:	:	PUNCT
ejpam-6749	801	28	figure	figure	NOUN
ejpam-6749	801	29	4	4	NUM
ejpam-6749	801	30	presents	present	VERB
ejpam-6749	801	31	the	the	DET
ejpam-6749	801	32	bifurcation	bifurcation	NOUN
ejpam-6749	801	33	structure	structure	NOUN
ejpam-6749	801	34	of	of	ADP
ejpam-6749	801	35	equilibrium	equilibrium	NOUN
ejpam-6749	801	36	solutions	solution	NOUN
ejpam-6749	801	37	.	.	PUNCT
ejpam-6749	802	1	at	at	ADP
ejpam-6749	802	2	the	the	DET
ejpam-6749	802	3	critical	critical	ADJ
ejpam-6749	802	4	transmission	transmission	NOUN
ejpam-6749	802	5	rate	rate	NOUN
ejpam-6749	802	6	βc	βc	INTJ
ejpam-6749	802	7	(	(	PUNCT
ejpam-6749	802	8	blue	blue	ADJ
ejpam-6749	802	9	dashed	dash	VERB
ejpam-6749	802	10	line	line	NOUN
ejpam-6749	802	11	)	)	PUNCT
ejpam-6749	802	12	,	,	PUNCT
ejpam-6749	802	13	the	the	DET
ejpam-6749	802	14	system	system	NOUN
ejpam-6749	802	15	undergoes	undergo	VERB
ejpam-6749	802	16	a	a	DET
ejpam-6749	802	17	transcritical	transcritical	ADJ
ejpam-6749	802	18	bifurcation	bifurcation	NOUN
ejpam-6749	802	19	where	where	SCONJ
ejpam-6749	802	20	the	the	DET
ejpam-6749	802	21	endemic	endemic	ADJ
ejpam-6749	802	22	equilibrium	equilibrium	NOUN
ejpam-6749	802	23	branches	branch	NOUN
ejpam-6749	802	24	o	o	NOUN
ejpam-6749	802	25	�	�	PROPN
ejpam-6749	802	26	from	from	ADP
ejpam-6749	802	27	the	the	DET
ejpam-6749	802	28	disease	disease	NOUN
ejpam-6749	802	29	-	-	PUNCT
ejpam-6749	802	30	free	free	ADJ
ejpam-6749	802	31	equilibrium	equilibrium	NOUN
ejpam-6749	802	32	.	.	PUNCT
ejpam-6749	803	1	for	for	ADP
ejpam-6749	803	2	β	β	X
ejpam-6749	803	3	<	<	X
ejpam-6749	803	4	βc	βc	PROPN
ejpam-6749	803	5	,	,	PUNCT
ejpam-6749	803	6	only	only	ADV
ejpam-6749	803	7	the	the	DET
ejpam-6749	803	8	elimination	elimination	NOUN
ejpam-6749	803	9	state	state	NOUN
ejpam-6749	803	10	is	be	AUX
ejpam-6749	803	11	stable	stable	ADJ
ejpam-6749	803	12	.	.	PUNCT
ejpam-6749	804	1	for	for	ADP
ejpam-6749	804	2	β	β	X
ejpam-6749	804	3	>	>	X
ejpam-6749	804	4	βc	βc	PROPN
ejpam-6749	804	5	,	,	PUNCT
ejpam-6749	804	6	the	the	DET
ejpam-6749	804	7	endemic	endemic	ADJ
ejpam-6749	804	8	equilibrium	equilibrium	NOUN
ejpam-6749	804	9	exists	exist	VERB
ejpam-6749	804	10	and	and	CCONJ
ejpam-6749	804	11	is	be	AUX
ejpam-6749	804	12	stable	stable	ADJ
ejpam-6749	804	13	,	,	PUNCT
ejpam-6749	804	14	with	with	ADP
ejpam-6749	804	15	terrorist	terrorist	ADJ
ejpam-6749	804	16	population	population	NOUN
ejpam-6749	804	17	increasing	increase	VERB
ejpam-6749	804	18	monotonically	monotonically	ADV
ejpam-6749	804	19	with	with	ADP
ejpam-6749	804	20	transmission	transmission	NOUN
ejpam-6749	804	21	rate	rate	NOUN
ejpam-6749	804	22	.	.	PUNCT
ejpam-6749	805	1	this	this	DET
ejpam-6749	805	2	mathematical	mathematical	ADJ
ejpam-6749	805	3	structure	structure	NOUN
ejpam-6749	805	4	demonstrates	demonstrate	VERB
ejpam-6749	805	5	that	that	SCONJ
ejpam-6749	805	6	there	there	PRON
ejpam-6749	805	7	are	be	VERB
ejpam-6749	805	8	no	no	DET
ejpam-6749	805	9	intermediate	intermediate	ADJ
ejpam-6749	805	10	stable	stable	ADJ
ejpam-6749	805	11	states	state	NOUN
ejpam-6749	805	12	�	�	PROPN
ejpam-6749	805	13	terrorism	terrorism	NOUN
ejpam-6749	805	14	either	either	CCONJ
ejpam-6749	805	15	dies	die	VERB
ejpam-6749	805	16	out	out	ADP
ejpam-6749	805	17	completely	completely	ADV
ejpam-6749	805	18	or	or	CCONJ
ejpam-6749	805	19	stabilizes	stabilize	VERB
ejpam-6749	805	20	at	at	ADP
ejpam-6749	805	21	an	an	DET
ejpam-6749	805	22	endemic	endemic	ADJ
ejpam-6749	805	23	level	level	NOUN
ejpam-6749	805	24	.	.	PUNCT
ejpam-6749	806	1	4	4	NUM
ejpam-6749	806	2	bifurcation	bifurcation	NOUN
ejpam-6749	806	3	analysis	analysis	NOUN
ejpam-6749	806	4	4.1	4.1	NUM
ejpam-6749	806	5	transcritical	transcritical	ADJ
ejpam-6749	806	6	bifurcation	bifurcation	NOUN
ejpam-6749	806	7	at	at	ADP
ejpam-6749	806	8	r0	r0	NOUN
ejpam-6749	806	9	=	=	PUNCT
ejpam-6749	806	10	1	1	NUM
ejpam-6749	806	11	the	the	DET
ejpam-6749	806	12	system	system	NOUN
ejpam-6749	806	13	exhibits	exhibit	VERB
ejpam-6749	806	14	a	a	DET
ejpam-6749	806	15	transcritical	transcritical	ADJ
ejpam-6749	806	16	bifurcation	bifurcation	NOUN
ejpam-6749	806	17	whenr0	whenr0	NOUN
ejpam-6749	806	18	passes	pass	VERB
ejpam-6749	806	19	through	through	ADP
ejpam-6749	806	20	unity	unity	NOUN
ejpam-6749	806	21	,	,	PUNCT
ejpam-6749	806	22	representing	represent	VERB
ejpam-6749	806	23	a	a	DET
ejpam-6749	806	24	fundamental	fundamental	ADJ
ejpam-6749	806	25	qualitative	qualitative	ADJ
ejpam-6749	806	26	change	change	NOUN
ejpam-6749	806	27	in	in	ADP
ejpam-6749	806	28	system	system	NOUN
ejpam-6749	806	29	behavior	behavior	NOUN
ejpam-6749	806	30	.	.	PUNCT
ejpam-6749	807	1	0	0	NUM
ejpam-6749	807	2	0.2	0.2	NUM
ejpam-6749	807	3	0.4	0.4	NUM
ejpam-6749	807	4	0.6	0.6	NUM
ejpam-6749	807	5	0.8	0.8	NUM
ejpam-6749	807	6	1	1	NUM
ejpam-6749	807	7	1.2	1.2	NUM
ejpam-6749	807	8	1.4	1.4	NUM
ejpam-6749	807	9	1.6	1.6	NUM
ejpam-6749	807	10	1.8	1.8	NUM
ejpam-6749	807	11	2	2	NUM
ejpam-6749	807	12	2.2	2.2	NUM
ejpam-6749	807	13	2.4	2.4	NUM
ejpam-6749	807	14	2.6	2.6	NUM
ejpam-6749	807	15	2.8	2.8	NUM
ejpam-6749	807	16	3	3	NUM
ejpam-6749	807	17	0	0	NUM
ejpam-6749	807	18	50	50	NUM
ejpam-6749	807	19	100	100	NUM
ejpam-6749	807	20	150	150	NUM
ejpam-6749	807	21	200	200	NUM
ejpam-6749	807	22	critical	critical	ADJ
ejpam-6749	807	23	threshold	threshold	NOUN
ejpam-6749	807	24	r0	r0	NOUN
ejpam-6749	807	25	=	=	SYM
ejpam-6749	807	26	1	1	NUM
ejpam-6749	807	27	stable	stable	ADJ
ejpam-6749	807	28	endemic	endemic	ADJ
ejpam-6749	807	29	branch	branch	NOUN
ejpam-6749	807	30	unstable	unstable	ADJ
ejpam-6749	807	31	dfe	dfe	PROPN
ejpam-6749	807	32	branch	branch	NOUN
ejpam-6749	807	33	basic	basic	ADJ
ejpam-6749	807	34	reproduction	reproduction	NOUN
ejpam-6749	807	35	number	number	NOUN
ejpam-6749	807	36	r0	r0	NOUN
ejpam-6749	807	37	e	e	NOUN
ejpam-6749	807	38	q	q	X
ejpam-6749	807	39	u	u	X
ejpam-6749	807	40	il	il	PROPN
ejpam-6749	807	41	ib	ib	NOUN
ejpam-6749	807	42	r	r	PROPN
ejpam-6749	807	43	iu	iu	ADP
ejpam-6749	807	44	m	m	PROPN
ejpam-6749	807	45	t	t	NOUN
ejpam-6749	807	46	e	e	NOUN
ejpam-6749	807	47	r	r	NOUN
ejpam-6749	807	48	r	r	NOUN
ejpam-6749	807	49	o	o	NOUN
ejpam-6749	807	50	r	r	NOUN
ejpam-6749	807	51	is	be	AUX
ejpam-6749	807	52	t	t	PROPN
ejpam-6749	807	53	p	p	NOUN
ejpam-6749	807	54	o	o	X
ejpam-6749	807	55	p	p	X
ejpam-6749	807	56	u	u	X
ejpam-6749	807	57	la	la	PROPN
ejpam-6749	807	58	t	t	PROPN
ejpam-6749	807	59	io	io	PROPN
ejpam-6749	807	60	n	n	PRON
ejpam-6749	807	61	transcritical	transcritical	ADJ
ejpam-6749	807	62	bifurcation	bifurcation	NOUN
ejpam-6749	807	63	diagram	diagram	NOUN
ejpam-6749	807	64	figure	figure	NOUN
ejpam-6749	807	65	5	5	NUM
ejpam-6749	807	66	:	:	PUNCT
ejpam-6749	807	67	transcritical	transcritical	ADJ
ejpam-6749	807	68	bifurcation	bifurcation	NOUN
ejpam-6749	807	69	showing	show	VERB
ejpam-6749	807	70	exchange	exchange	NOUN
ejpam-6749	807	71	of	of	ADP
ejpam-6749	807	72	stability	stability	NOUN
ejpam-6749	807	73	at	at	ADP
ejpam-6749	807	74	r0	r0	NOUN
ejpam-6749	807	75	=	=	SYM
ejpam-6749	807	76	1	1	NUM
ejpam-6749	807	77	interpretation	interpretation	NOUN
ejpam-6749	807	78	:	:	PUNCT
ejpam-6749	807	79	figure	figure	NOUN
ejpam-6749	807	80	5	5	NUM
ejpam-6749	807	81	illustrates	illustrate	VERB
ejpam-6749	807	82	the	the	DET
ejpam-6749	807	83	transcritical	transcritical	ADJ
ejpam-6749	807	84	bifurcation	bifurcation	NOUN
ejpam-6749	807	85	that	that	PRON
ejpam-6749	807	86	occurs	occur	VERB
ejpam-6749	807	87	at	at	ADP
ejpam-6749	807	88	r0	r0	NOUN
ejpam-6749	807	89	=	=	NOUN
ejpam-6749	807	90	1	1	X
ejpam-6749	807	91	.	.	PUNCT
ejpam-6749	808	1	the	the	DET
ejpam-6749	808	2	solid	solid	ADJ
ejpam-6749	808	3	red	red	ADJ
ejpam-6749	808	4	line	line	NOUN
ejpam-6749	808	5	represents	represent	VERB
ejpam-6749	808	6	the	the	DET
ejpam-6749	808	7	stable	stable	ADJ
ejpam-6749	808	8	endemic	endemic	ADJ
ejpam-6749	808	9	equilibrium	equilibrium	NOUN
ejpam-6749	808	10	branch	branch	NOUN
ejpam-6749	808	11	that	that	PRON
ejpam-6749	808	12	exists	exist	VERB
ejpam-6749	808	13	only	only	ADV
ejpam-6749	808	14	for	for	ADP
ejpam-6749	808	15	r0	r0	NOUN
ejpam-6749	808	16	>	>	X
ejpam-6749	808	17	1	1	X
ejpam-6749	808	18	.	.	PUNCT
ejpam-6749	809	1	the	the	DET
ejpam-6749	809	2	dotted	dotted	ADJ
ejpam-6749	809	3	blue	blue	ADJ
ejpam-6749	809	4	line	line	NOUN
ejpam-6749	809	5	shows	show	VERB
ejpam-6749	809	6	the	the	DET
ejpam-6749	809	7	disease	disease	NOUN
ejpam-6749	809	8	-	-	PUNCT
ejpam-6749	809	9	free	free	ADJ
ejpam-6749	809	10	equilibrium	equilibrium	NOUN
ejpam-6749	809	11	,	,	PUNCT
ejpam-6749	809	12	which	which	PRON
ejpam-6749	809	13	is	be	AUX
ejpam-6749	809	14	stable	stable	ADJ
ejpam-6749	809	15	for	for	ADP
ejpam-6749	809	16	r0	r0	NOUN
ejpam-6749	809	17	<	<	X
ejpam-6749	809	18	1	1	NUM
ejpam-6749	809	19	but	but	CCONJ
ejpam-6749	809	20	becomes	become	VERB
ejpam-6749	809	21	unstable	unstable	ADJ
ejpam-6749	809	22	for	for	ADP
ejpam-6749	809	23	r0	r0	NOUN
ejpam-6749	809	24	>	>	X
ejpam-6749	809	25	1	1	X
ejpam-6749	809	26	.	.	PUNCT
ejpam-6749	810	1	the	the	DET
ejpam-6749	810	2	arrows	arrow	NOUN
ejpam-6749	810	3	indicate	indicate	VERB
ejpam-6749	810	4	the	the	DET
ejpam-6749	810	5	direction	direction	NOUN
ejpam-6749	810	6	of	of	ADP
ejpam-6749	810	7	stability	stability	NOUN
ejpam-6749	810	8	:	:	PUNCT
ejpam-6749	810	9	trajectories	trajectory	NOUN
ejpam-6749	810	10	are	be	AUX
ejpam-6749	810	11	attracted	attract	VERB
ejpam-6749	810	12	to	to	ADP
ejpam-6749	810	13	stable	stable	ADJ
ejpam-6749	810	14	branches	branch	NOUN
ejpam-6749	810	15	and	and	CCONJ
ejpam-6749	810	16	repelled	repel	VERB
ejpam-6749	810	17	from	from	ADP
ejpam-6749	810	18	unstable	unstable	ADJ
ejpam-6749	810	19	ones	one	NOUN
ejpam-6749	810	20	.	.	PUNCT
ejpam-6749	811	1	this	this	DET
ejpam-6749	811	2	mathematical	mathematical	ADJ
ejpam-6749	811	3	structure	structure	NOUN
ejpam-6749	811	4	ensures	ensure	VERB
ejpam-6749	811	5	that	that	PRON
ejpam-6749	811	6	small	small	ADJ
ejpam-6749	811	7	parameter	parameter	NOUN
ejpam-6749	811	8	changes	change	NOUN
ejpam-6749	811	9	near	near	ADP
ejpam-6749	811	10	the	the	DET
ejpam-6749	811	11	threshold	threshold	NOUN
ejpam-6749	811	12	can	can	AUX
ejpam-6749	811	13	have	have	VERB
ejpam-6749	811	14	dramatic	dramatic	ADJ
ejpam-6749	811	15	e	e	NOUN
ejpam-6749	811	16	�	�	NOUN
ejpam-6749	811	17	ects	ect	VERB
ejpam-6749	811	18	on	on	ADP
ejpam-6749	811	19	long	long	ADJ
ejpam-6749	811	20	-	-	PUNCT
ejpam-6749	811	21	term	term	NOUN
ejpam-6749	811	22	outcomes	outcome	NOUN
ejpam-6749	811	23	,	,	PUNCT
ejpam-6749	811	24	highlighting	highlight	VERB
ejpam-6749	811	25	the	the	DET
ejpam-6749	811	26	critical	critical	ADJ
ejpam-6749	811	27	importance	importance	NOUN
ejpam-6749	811	28	of	of	ADP
ejpam-6749	811	29	maintaining	maintain	VERB
ejpam-6749	811	30	r0	r0	NOUN
ejpam-6749	811	31	<	<	X
ejpam-6749	811	32	1	1	NUM
ejpam-6749	811	33	.	.	SYM
ejpam-6749	811	34	7	7	NUM
ejpam-6749	811	35	figure	figure	NOUN
ejpam-6749	811	36	7	7	NUM
ejpam-6749	811	37	:	:	PUNCT
ejpam-6749	811	38	transcritical	transcritical	ADJ
ejpam-6749	811	39	bifurcation	bifurcation	NOUN
ejpam-6749	811	40	showing	show	VERB
ejpam-6749	811	41	exchange	exchange	NOUN
ejpam-6749	811	42	of	of	ADP
ejpam-6749	811	43	stability	stability	NOUN
ejpam-6749	811	44	at	at	ADP
ejpam-6749	811	45	r0	r0	NOUN
ejpam-6749	811	46	=	=	SYM
ejpam-6749	811	47	1	1	NUM
ejpam-6749	811	48	radicalization	radicalization	NOUN
ejpam-6749	811	49	constitutes	constitute	VERB
ejpam-6749	811	50	a	a	DET
ejpam-6749	811	51	psychosocial	psychosocial	ADJ
ejpam-6749	811	52	transition	transition	NOUN
ejpam-6749	811	53	process	process	NOUN
ejpam-6749	811	54	wherein	wherein	ADJ
ejpam-6749	811	55	individuals	individual	NOUN
ejpam-6749	811	56	disengage	disengage	VERB
ejpam-6749	811	57	from	from	ADP
ejpam-6749	811	58	societal	societal	ADJ
ejpam-6749	811	59	norms	norm	NOUN
ejpam-6749	811	60	and	and	CCONJ
ejpam-6749	811	61	adopt	adopt	VERB
ejpam-6749	811	62	violent	violent	ADJ
ejpam-6749	811	63	ideological	ideological	ADJ
ejpam-6749	811	64	frameworks	framework	NOUN
ejpam-6749	811	65	—	—	PUNCT
ejpam-6749	811	66	specifically	specifically	ADV
ejpam-6749	811	67	jihadism	jihadism	NOUN
ejpam-6749	811	68	in	in	ADP
ejpam-6749	811	69	this	this	DET
ejpam-6749	811	70	context	context	NOUN
ejpam-6749	811	71	.	.	PUNCT
ejpam-6749	812	1	prevention	prevention	NOUN
ejpam-6749	812	2	encompasses	encompass	VERB
ejpam-6749	812	3	institutionally	institutionally	ADV
ejpam-6749	812	4	coordinated	coordinate	VERB
ejpam-6749	812	5	interventions	intervention	NOUN
ejpam-6749	812	6	across	across	ADP
ejpam-6749	812	7	multiple	multiple	ADJ
ejpam-6749	812	8	societal	societal	ADJ
ejpam-6749	812	9	domains	domain	NOUN
ejpam-6749	812	10	(	(	PUNCT
ejpam-6749	812	11	educational	educational	ADJ
ejpam-6749	812	12	,	,	PUNCT
ejpam-6749	812	13	religious	religious	ADJ
ejpam-6749	812	14	,	,	PUNCT
ejpam-6749	812	15	socioeconomic	socioeconomic	ADJ
ejpam-6749	812	16	)	)	PUNCT
ejpam-6749	812	17	designed	design	VERB
ejpam-6749	812	18	to	to	PART
ejpam-6749	812	19	preempt	preempt	VERB
ejpam-6749	812	20	radicalization	radicalization	NOUN
ejpam-6749	812	21	initiation	initiation	NOUN
ejpam-6749	812	22	.	.	PUNCT
ejpam-6749	813	1	deradicalization	deradicalization	NOUN
ejpam-6749	813	2	denotes	denote	VERB
ejpam-6749	813	3	the	the	DET
ejpam-6749	813	4	systematic	systematic	ADJ
ejpam-6749	813	5	reversal	reversal	NOUN
ejpam-6749	813	6	of	of	ADP
ejpam-6749	813	7	radicalization	radicalization	NOUN
ejpam-6749	813	8	through	through	ADP
ejpam-6749	813	9	cognitive	cognitive	ADJ
ejpam-6749	813	10	restructuring	restructuring	NOUN
ejpam-6749	813	11	and	and	CCONJ
ejpam-6749	813	12	behavioral	behavioral	ADJ
ejpam-6749	813	13	modification	modification	NOUN
ejpam-6749	813	14	,	,	PUNCT
ejpam-6749	813	15	facilitating	facilitate	VERB
ejpam-6749	813	16	reintegration	reintegration	NOUN
ejpam-6749	813	17	via	via	ADP
ejpam-6749	813	18	supervised	supervised	ADJ
ejpam-6749	813	19	societal	societal	ADJ
ejpam-6749	813	20	pathways	pathway	NOUN
ejpam-6749	813	21	.	.	PUNCT
ejpam-6749	814	1	this	this	DET
ejpam-6749	814	2	process	process	NOUN
ejpam-6749	814	3	is	be	AUX
ejpam-6749	814	4	functionally	functionally	ADV
ejpam-6749	814	5	analogous	analogous	ADJ
ejpam-6749	814	6	to	to	ADP
ejpam-6749	814	7	rehabilitation	rehabilitation	NOUN
ejpam-6749	814	8	in	in	ADP
ejpam-6749	814	9	criminological	criminological	ADJ
ejpam-6749	814	10	literature	literature	NOUN
ejpam-6749	814	11	.	.	PUNCT
ejpam-6749	815	1	the	the	DET
ejpam-6749	815	2	integrative	integrative	ADJ
ejpam-6749	815	3	implementation	implementation	NOUN
ejpam-6749	815	4	of	of	ADP
ejpam-6749	815	5	prevention	prevention	NOUN
ejpam-6749	815	6	and	and	CCONJ
ejpam-6749	815	7	deradicalization	deradicalization	NOUN
ejpam-6749	815	8	comprises	comprise	VERB
ejpam-6749	815	9	counter	counter	NOUN
ejpam-6749	815	10	-	-	NOUN
ejpam-6749	815	11	radicalization	radicalization	NOUN
ejpam-6749	815	12	—	—	PUNCT
ejpam-6749	815	13	a	a	DET
ejpam-6749	815	14	comprehensive	comprehensive	ADJ
ejpam-6749	815	15	framework	framework	NOUN
ejpam-6749	815	16	addressing	address	VERB
ejpam-6749	815	17	radicalization	radicalization	NOUN
ejpam-6749	815	18	’s	’s	PART
ejpam-6749	815	19	etiology	etiology	NOUN
ejpam-6749	815	20	and	and	CCONJ
ejpam-6749	815	21	manifestations	manifestation	NOUN
ejpam-6749	815	22	.	.	PUNCT
ejpam-6749	816	1	mauritania	mauritania	PROPN
ejpam-6749	816	2	’s	’s	PART
ejpam-6749	816	3	integrated	integrate	VERB
ejpam-6749	816	4	counter	counter	NOUN
ejpam-6749	816	5	-	-	NOUN
ejpam-6749	816	6	radicalization	radicalization	NOUN
ejpam-6749	816	7	strategy	strategy	NOUN
ejpam-6749	816	8	,	,	PUNCT
ejpam-6749	816	9	implemented	implement	VERB
ejpam-6749	816	10	since	since	SCONJ
ejpam-6749	816	11	2010	2010	NUM
ejpam-6749	816	12	,	,	PUNCT
ejpam-6749	816	13	exemplifies	exemplify	VERB
ejpam-6749	816	14	a	a	DET
ejpam-6749	816	15	multi	multi	ADJ
ejpam-6749	816	16	-	-	ADJ
ejpam-6749	816	17	stakeholder	stakeholder	ADJ
ejpam-6749	816	18	coordination	coordination	NOUN
ejpam-6749	816	19	framework	framework	NOUN
ejpam-6749	816	20	combining	combine	VERB
ejpam-6749	816	21	civilian	civilian	ADJ
ejpam-6749	816	22	and	and	CCONJ
ejpam-6749	816	23	military	military	ADJ
ejpam-6749	816	24	counter	counter	NOUN
ejpam-6749	816	25	-	-	ADJ
ejpam-6749	816	26	terrorism	terrorism	NOUN
ejpam-6749	816	27	measures	measure	NOUN
ejpam-6749	816	28	.	.	PUNCT
ejpam-6749	817	1	its	its	PRON
ejpam-6749	817	2	distinguishing	distinguish	VERB
ejpam-6749	817	3	characteristic	characteristic	NOUN
ejpam-6749	817	4	lies	lie	NOUN
ejpam-6749	817	5	in	in	ADP
ejpam-6749	817	6	the	the	DET
ejpam-6749	817	7	systematic	systematic	ADJ
ejpam-6749	817	8	deployment	deployment	NOUN
ejpam-6749	817	9	of	of	ADP
ejpam-6749	817	10	religious	religious	ADJ
ejpam-6749	817	11	epistemic	epistemic	ADJ
ejpam-6749	817	12	authorities	authority	NOUN
ejpam-6749	817	13	(	(	PUNCT
ejpam-6749	817	14	ulama	ulama	NOUN
ejpam-6749	817	15	and	and	CCONJ
ejpam-6749	817	16	fuqaha	fuqaha	NOUN
ejpam-6749	817	17	)	)	PUNCT
ejpam-6749	817	18	to	to	PART
ejpam-6749	817	19	dismantle	dismantle	VERB
ejpam-6749	817	20	salafi	salafi	NOUN
ejpam-6749	817	21	-	-	PUNCT
ejpam-6749	817	22	jihadist	jihadist	NOUN
ejpam-6749	817	23	propaganda	propaganda	NOUN
ejpam-6749	817	24	through	through	ADP
ejpam-6749	817	25	theological	theological	ADJ
ejpam-6749	817	26	counter	counter	NOUN
ejpam-6749	817	27	-	-	NOUN
ejpam-6749	817	28	narratives	narrative	NOUN
ejpam-6749	817	29	.	.	PUNCT
ejpam-6749	818	1	this	this	DET
ejpam-6749	818	2	approach	approach	NOUN
ejpam-6749	818	3	features	feature	VERB
ejpam-6749	818	4	two	two	NUM
ejpam-6749	818	5	principal	principal	ADJ
ejpam-6749	818	6	non	non	ADJ
ejpam-6749	818	7	-	-	ADJ
ejpam-6749	818	8	kinetic	kinetic	ADJ
ejpam-6749	818	9	countermeasures	countermeasure	NOUN
ejpam-6749	818	10	.	.	PUNCT
ejpam-6749	819	1	first	first	ADV
ejpam-6749	819	2	,	,	PUNCT
ejpam-6749	819	3	sacred	sacred	ADJ
ejpam-6749	819	4	space	space	NOUN
ejpam-6749	819	5	securitization	securitization	NOUN
ejpam-6749	819	6	which	which	PRON
ejpam-6749	819	7	is	be	AUX
ejpam-6749	819	8	the	the	DET
ejpam-6749	819	9	state	state	NOUN
ejpam-6749	819	10	regulation	regulation	NOUN
ejpam-6749	819	11	of	of	ADP
ejpam-6749	819	12	worship	worship	NOUN
ejpam-6749	819	13	facilities	facility	NOUN
ejpam-6749	819	14	prevents	prevent	VERB
ejpam-6749	819	15	co	co	NOUN
ejpam-6749	819	16	-	-	NOUN
ejpam-6749	819	17	option	option	NOUN
ejpam-6749	819	18	by	by	ADP
ejpam-6749	819	19	jihadist	jihadist	NOUN
ejpam-6749	819	20	-	-	PUNCT
ejpam-6749	819	21	salafist	salafist	ADJ
ejpam-6749	819	22	and	and	CCONJ
ejpam-6749	819	23	takfirist	takfirist	NOUN
ejpam-6749	819	24	elements	element	NOUN
ejpam-6749	819	25	,	,	PUNCT
ejpam-6749	819	26	thereby	thereby	ADV
ejpam-6749	819	27	neutralizing	neutralize	VERB
ejpam-6749	819	28	potential	potential	ADJ
ejpam-6749	819	29	radicalization	radicalization	NOUN
ejpam-6749	819	30	vectors	vector	NOUN
ejpam-6749	819	31	(	(	PUNCT
ejpam-6749	819	32	e.g.	e.g.	ADV
ejpam-6749	819	33	,	,	PUNCT
ejpam-6749	819	34	ideological	ideological	ADJ
ejpam-6749	819	35	indoctrination	indoctrination	NOUN
ejpam-6749	819	36	hubs	hub	NOUN
ejpam-6749	819	37	,	,	PUNCT
ejpam-6749	819	38	violence	violence	NOUN
ejpam-6749	819	39	-	-	PUNCT
ejpam-6749	819	40	incitement	incitement	NOUN
ejpam-6749	819	41	platforms	platform	NOUN
ejpam-6749	819	42	)	)	PUNCT
ejpam-6749	819	43	.	.	PUNCT
ejpam-6749	820	1	second	second	ADJ
ejpam-6749	820	2	,	,	PUNCT
ejpam-6749	820	3	doctrinal	doctrinal	ADJ
ejpam-6749	820	4	resilience	resilience	NOUN
ejpam-6749	820	5	building	building	NOUN
ejpam-6749	820	6	which	which	PRON
ejpam-6749	820	7	is	be	AUX
ejpam-6749	820	8	the	the	DET
ejpam-6749	820	9	authorities	authority	NOUN
ejpam-6749	820	10	leverage	leverage	VERB
ejpam-6749	820	11	malikite	malikite	ADJ
ejpam-6749	820	12	jurisprudence	jurisprudence	NOUN
ejpam-6749	820	13	characterized	characterize	VERB
ejpam-6749	820	14	by	by	ADP
ejpam-6749	820	15	interpretive	interpretive	ADJ
ejpam-6749	820	16	flexibility	flexibility	NOUN
ejpam-6749	820	17	(	(	PUNCT
ejpam-6749	820	18	istihsan	istihsan	ADJ
ejpam-6749	820	19	)	)	PUNCT
ejpam-6749	820	20	to	to	PART
ejpam-6749	820	21	m.	m.	VERB
ejpam-6749	820	22	zorom	zorom	NOUN
ejpam-6749	820	23	et	et	PROPN
ejpam-6749	820	24	al	al	PROPN
ejpam-6749	820	25	.	.	PUNCT
ejpam-6749	820	26	/	/	SYM
ejpam-6749	820	27	eur	eur	PROPN
ejpam-6749	820	28	.	.	PUNCT
ejpam-6749	821	1	j.	j.	PROPN
ejpam-6749	821	2	pure	pure	PROPN
ejpam-6749	821	3	appl	appl	PROPN
ejpam-6749	821	4	.	.	PROPN
ejpam-6749	821	5	math	math	PROPN
ejpam-6749	821	6	,	,	PUNCT
ejpam-6749	821	7	18	18	NUM
ejpam-6749	821	8	(	(	PUNCT
ejpam-6749	821	9	4	4	NUM
ejpam-6749	821	10	)	)	PUNCT
ejpam-6749	821	11	(	(	PUNCT
ejpam-6749	821	12	2025	2025	NUM
ejpam-6749	821	13	)	)	PUNCT
ejpam-6749	821	14	,	,	PUNCT
ejpam-6749	821	15	6749	6749	NUM
ejpam-6749	821	16	36	36	NUM
ejpam-6749	821	17	of	of	ADP
ejpam-6749	821	18	47	47	NUM
ejpam-6749	821	19	mathematical	mathematical	ADJ
ejpam-6749	821	20	modeling	modeling	NOUN
ejpam-6749	821	21	&	&	CCONJ
ejpam-6749	821	22	simulation	simulation	PROPN
ejpam-6749	821	23	terrorism	terrorism	NOUN
ejpam-6749	821	24	dynamics	dynamic	VERB
ejpam-6749	821	25	analysis	analysis	VERB
ejpam-6749	821	26	5	5	NUM
ejpam-6749	821	27	global	global	ADJ
ejpam-6749	821	28	sensitivity	sensitivity	NOUN
ejpam-6749	821	29	analysis	analysis	NOUN
ejpam-6749	821	30	5.1	5.1	NUM
ejpam-6749	821	31	sobol	sobol	NOUN
ejpam-6749	821	32	sensitivity	sensitivity	NOUN
ejpam-6749	821	33	indices	indice	VERB
ejpam-6749	821	34	the	the	DET
ejpam-6749	821	35	sobol	sobol	NOUN
ejpam-6749	821	36	method	method	NOUN
ejpam-6749	821	37	decomposes	decompose	VERB
ejpam-6749	821	38	output	output	NOUN
ejpam-6749	821	39	variance	variance	NOUN
ejpam-6749	821	40	into	into	ADP
ejpam-6749	821	41	contributions	contribution	NOUN
ejpam-6749	821	42	from	from	ADP
ejpam-6749	821	43	individual	individual	ADJ
ejpam-6749	821	44	parameters	parameter	NOUN
ejpam-6749	821	45	and	and	CCONJ
ejpam-6749	821	46	their	their	PRON
ejpam-6749	821	47	interactions	interaction	NOUN
ejpam-6749	821	48	,	,	PUNCT
ejpam-6749	821	49	providing	provide	VERB
ejpam-6749	821	50	quantitative	quantitative	ADJ
ejpam-6749	821	51	measures	measure	NOUN
ejpam-6749	821	52	of	of	ADP
ejpam-6749	821	53	parameter	parameter	NOUN
ejpam-6749	821	54	importance	importance	NOUN
ejpam-6749	821	55	.	.	PUNCT
ejpam-6749	822	1	λ	λ	X
ejpam-6749	822	2	β	β	X
ejpam-6749	822	3	γ	γ	PROPN
ejpam-6749	822	4	φ	φ	PROPN
ejpam-6749	822	5	δ	δ	PROPN
ejpam-6749	822	6	µ	µ	PROPN
ejpam-6749	822	7	k	k	X
ejpam-6749	822	8	0	0	NUM
ejpam-6749	822	9	0.2	0.2	NUM
ejpam-6749	822	10	0.4	0.4	NUM
ejpam-6749	822	11	0.6	0.6	NUM
ejpam-6749	822	12	0.8	0.8	NUM
ejpam-6749	822	13	1	1	NUM
ejpam-6749	822	14	parameters	parameter	NOUN
ejpam-6749	822	15	f	f	X
ejpam-6749	822	16	ir	ir	PROPN
ejpam-6749	822	17	s	s	PROPN
ejpam-6749	822	18	t	t	X
ejpam-6749	822	19	-o	-o	INTJ
ejpam-6749	822	20	r	r	NOUN
ejpam-6749	822	21	d	d	PROPN
ejpam-6749	822	22	e	e	NOUN
ejpam-6749	822	23	r	r	NOUN
ejpam-6749	822	24	in	in	ADP
ejpam-6749	822	25	d	d	PROPN
ejpam-6749	822	26	e	e	NOUN
ejpam-6749	822	27	x	x	X
ejpam-6749	822	28	first	first	ADJ
ejpam-6749	822	29	-	-	PUNCT
ejpam-6749	822	30	order	order	NOUN
ejpam-6749	822	31	sobol	sobol	NOUN
ejpam-6749	822	32	indices	indice	VERB
ejpam-6749	822	33	(	(	PUNCT
ejpam-6749	822	34	a	a	X
ejpam-6749	822	35	)	)	PUNCT
ejpam-6749	822	36	direct	direct	ADJ
ejpam-6749	822	37	parameter	parameter	NOUN
ejpam-6749	822	38	e	e	NOUN
ejpam-6749	822	39	�	�	PROPN
ejpam-6749	822	40	ects	ect	VERB
ejpam-6749	822	41	λ	λ	PROPN
ejpam-6749	822	42	β	β	X
ejpam-6749	822	43	γ	γ	PROPN
ejpam-6749	822	44	φ	φ	PROPN
ejpam-6749	822	45	δ	δ	PROPN
ejpam-6749	822	46	µ	µ	PROPN
ejpam-6749	822	47	k	k	X
ejpam-6749	822	48	0	0	NUM
ejpam-6749	822	49	0.2	0.2	NUM
ejpam-6749	822	50	0.4	0.4	NUM
ejpam-6749	822	51	0.6	0.6	NUM
ejpam-6749	822	52	0.8	0.8	NUM
ejpam-6749	822	53	1	1	NUM
ejpam-6749	822	54	parameters	parameter	NOUN
ejpam-6749	822	55	t	t	X
ejpam-6749	822	56	o	o	NOUN
ejpam-6749	822	57	t	t	PROPN
ejpam-6749	822	58	a	a	DET
ejpam-6749	822	59	lo	lo	NOUN
ejpam-6749	822	60	r	r	NOUN
ejpam-6749	822	61	d	d	NOUN
ejpam-6749	822	62	e	e	NOUN
ejpam-6749	822	63	r	r	NOUN
ejpam-6749	822	64	in	in	ADP
ejpam-6749	822	65	d	d	PROPN
ejpam-6749	822	66	e	e	NOUN
ejpam-6749	822	67	x	x	ADJ
ejpam-6749	822	68	total	total	ADJ
ejpam-6749	822	69	-	-	PUNCT
ejpam-6749	822	70	order	order	NOUN
ejpam-6749	822	71	sobol	sobol	NOUN
ejpam-6749	822	72	indices	indice	VERB
ejpam-6749	822	73	(	(	PUNCT
ejpam-6749	822	74	b	b	NOUN
ejpam-6749	822	75	)	)	PUNCT
ejpam-6749	822	76	total	total	ADJ
ejpam-6749	822	77	e	e	NOUN
ejpam-6749	822	78	�	�	NOUN
ejpam-6749	822	79	ects	ect	NOUN
ejpam-6749	822	80	including	include	VERB
ejpam-6749	822	81	interactions	interaction	NOUN
ejpam-6749	822	82	figure	figure	NOUN
ejpam-6749	822	83	6	6	NUM
ejpam-6749	822	84	:	:	PUNCT
ejpam-6749	822	85	sobol	sobol	NOUN
ejpam-6749	822	86	sensitivity	sensitivity	NOUN
ejpam-6749	822	87	indices	indice	VERB
ejpam-6749	822	88	for	for	ADP
ejpam-6749	822	89	endemic	endemic	ADJ
ejpam-6749	822	90	scenario	scenario	NOUN
ejpam-6749	822	91	(	(	PUNCT
ejpam-6749	822	92	r0	r0	NOUN
ejpam-6749	822	93	>	>	X
ejpam-6749	822	94	1	1	NUM
ejpam-6749	822	95	)	)	PUNCT
ejpam-6749	822	96	interpretation	interpretation	NOUN
ejpam-6749	822	97	:	:	PUNCT
ejpam-6749	822	98	figure	figure	NOUN
ejpam-6749	822	99	6	6	NUM
ejpam-6749	822	100	reveals	reveal	VERB
ejpam-6749	822	101	critical	critical	ADJ
ejpam-6749	822	102	insights	insight	NOUN
ejpam-6749	822	103	into	into	ADP
ejpam-6749	822	104	parameter	parameter	NOUN
ejpam-6749	822	105	importance	importance	NOUN
ejpam-6749	822	106	.	.	PUNCT
ejpam-6749	823	1	the	the	DET
ejpam-6749	823	2	�	�	PROPN
ejpam-6749	823	3	rst	rst	ADJ
ejpam-6749	823	4	-	-	PUNCT
ejpam-6749	823	5	order	order	NOUN
ejpam-6749	823	6	indices	index	NOUN
ejpam-6749	823	7	(	(	PUNCT
ejpam-6749	823	8	left	leave	VERB
ejpam-6749	823	9	panel	panel	NOUN
ejpam-6749	823	10	)	)	PUNCT
ejpam-6749	823	11	show	show	VERB
ejpam-6749	823	12	that	that	SCONJ
ejpam-6749	823	13	transmission	transmission	NOUN
ejpam-6749	823	14	rate	rate	NOUN
ejpam-6749	823	15	β	β	NOUN
ejpam-6749	823	16	dominates	dominate	VERB
ejpam-6749	823	17	direct	direct	ADJ
ejpam-6749	823	18	e	e	NOUN
ejpam-6749	823	19	�	�	NOUN
ejpam-6749	823	20	ects	ect	NOUN
ejpam-6749	823	21	(	(	PUNCT
ejpam-6749	823	22	75	75	NUM
ejpam-6749	823	23	%	%	NOUN
ejpam-6749	823	24	)	)	PUNCT
ejpam-6749	823	25	,	,	PUNCT
ejpam-6749	823	26	while	while	SCONJ
ejpam-6749	823	27	military	military	ADJ
ejpam-6749	823	28	elimination	elimination	NOUN
ejpam-6749	823	29	δ	δ	PROPN
ejpam-6749	823	30	contributes	contribute	VERB
ejpam-6749	823	31	only	only	ADV
ejpam-6749	823	32	25	25	NUM
ejpam-6749	823	33	%	%	NOUN
ejpam-6749	823	34	directly	directly	ADV
ejpam-6749	823	35	.	.	PUNCT
ejpam-6749	824	1	however	however	ADV
ejpam-6749	824	2	,	,	PUNCT
ejpam-6749	824	3	the	the	DET
ejpam-6749	824	4	totalorder	totalorder	NOUN
ejpam-6749	824	5	indices	indice	VERB
ejpam-6749	824	6	(	(	PUNCT
ejpam-6749	824	7	right	right	ADJ
ejpam-6749	824	8	panel	panel	NOUN
ejpam-6749	824	9	)	)	PUNCT
ejpam-6749	824	10	tell	tell	VERB
ejpam-6749	824	11	a	a	DET
ejpam-6749	824	12	di	di	NOUN
ejpam-6749	824	13	�	�	PROPN
ejpam-6749	824	14	erent	erent	NOUN
ejpam-6749	824	15	story	story	NOUN
ejpam-6749	824	16	:	:	PUNCT
ejpam-6749	824	17	δ	δ	PROPN
ejpam-6749	824	18	becomes	become	VERB
ejpam-6749	824	19	the	the	DET
ejpam-6749	824	20	most	most	ADJ
ejpam-6749	824	21	in	in	ADP
ejpam-6749	824	22	�	�	PROPN
ejpam-6749	824	23	uential	uential	ADJ
ejpam-6749	824	24	parameter	parameter	NOUN
ejpam-6749	824	25	(	(	PUNCT
ejpam-6749	824	26	88	88	NUM
ejpam-6749	824	27	%	%	NOUN
ejpam-6749	824	28	)	)	PUNCT
ejpam-6749	824	29	when	when	SCONJ
ejpam-6749	824	30	interactions	interaction	NOUN
ejpam-6749	824	31	are	be	AUX
ejpam-6749	824	32	considered	consider	VERB
ejpam-6749	824	33	,	,	PUNCT
ejpam-6749	824	34	followed	follow	VERB
ejpam-6749	824	35	by	by	ADP
ejpam-6749	824	36	β	β	X
ejpam-6749	824	37	(	(	PUNCT
ejpam-6749	824	38	82	82	NUM
ejpam-6749	824	39	%	%	NOUN
ejpam-6749	824	40	)	)	PUNCT
ejpam-6749	824	41	and	and	CCONJ
ejpam-6749	824	42	de	de	NOUN
ejpam-6749	824	43	-	-	NOUN
ejpam-6749	824	44	radicalization	radicalization	NOUN
ejpam-6749	824	45	φ	φ	PROPN
ejpam-6749	824	46	(	(	PUNCT
ejpam-6749	824	47	45	45	NUM
ejpam-6749	824	48	%	%	NOUN
ejpam-6749	824	49	)	)	PUNCT
ejpam-6749	824	50	.	.	PUNCT
ejpam-6749	825	1	this	this	PRON
ejpam-6749	825	2	demonstrates	demonstrate	VERB
ejpam-6749	825	3	that	that	SCONJ
ejpam-6749	825	4	military	military	ADJ
ejpam-6749	825	5	intervention	intervention	NOUN
ejpam-6749	825	6	becomes	become	VERB
ejpam-6749	825	7	e	e	NOUN
ejpam-6749	825	8	�	�	NOUN
ejpam-6749	825	9	ective	ective	ADJ
ejpam-6749	825	10	only	only	ADV
ejpam-6749	825	11	when	when	SCONJ
ejpam-6749	825	12	combined	combine	VERB
ejpam-6749	825	13	with	with	ADP
ejpam-6749	825	14	other	other	ADJ
ejpam-6749	825	15	strategies	strategy	NOUN
ejpam-6749	825	16	,	,	PUNCT
ejpam-6749	825	17	supporting	support	VERB
ejpam-6749	825	18	the	the	DET
ejpam-6749	825	19	need	need	NOUN
ejpam-6749	825	20	for	for	ADP
ejpam-6749	825	21	integrated	integrate	VERB
ejpam-6749	825	22	approaches	approach	NOUN
ejpam-6749	825	23	.	.	PUNCT
ejpam-6749	826	1	8	8	NUM
ejpam-6749	826	2	figure	figure	NOUN
ejpam-6749	826	3	8	8	NUM
ejpam-6749	826	4	:	:	PUNCT
ejpam-6749	826	5	sobol	sobol	NOUN
ejpam-6749	826	6	sensitivity	sensitivity	NOUN
ejpam-6749	826	7	indices	indice	VERB
ejpam-6749	826	8	for	for	ADP
ejpam-6749	826	9	endemic	endemic	ADJ
ejpam-6749	826	10	scenario	scenario	NOUN
ejpam-6749	826	11	(	(	PUNCT
ejpam-6749	826	12	r0	r0	NOUN
ejpam-6749	826	13	>	>	X
ejpam-6749	826	14	1	1	NUM
ejpam-6749	826	15	)	)	PUNCT
ejpam-6749	826	16	construct	construct	VERB
ejpam-6749	826	17	moderate	moderate	ADJ
ejpam-6749	826	18	religious	religious	ADJ
ejpam-6749	826	19	frameworks	framework	NOUN
ejpam-6749	826	20	emphasizing	emphasize	VERB
ejpam-6749	826	21	tolerance	tolerance	NOUN
ejpam-6749	826	22	.	.	PUNCT
ejpam-6749	827	1	this	this	PRON
ejpam-6749	827	2	facilitates	facilitate	VERB
ejpam-6749	827	3	deconstruction	deconstruction	NOUN
ejpam-6749	827	4	of	of	ADP
ejpam-6749	827	5	bellicose	bellicose	ADJ
ejpam-6749	827	6	extremist	extremist	ADJ
ejpam-6749	827	7	doctrines	doctrine	NOUN
ejpam-6749	827	8	while	while	SCONJ
ejpam-6749	827	9	reinforcing	reinforce	VERB
ejpam-6749	827	10	indigenous	indigenous	ADJ
ejpam-6749	827	11	islamic	islamic	ADJ
ejpam-6749	827	12	traditions	tradition	NOUN
ejpam-6749	827	13	through	through	ADP
ejpam-6749	827	14	accredited	accredit	VERB
ejpam-6749	827	15	imams	imam	NOUN
ejpam-6749	827	16	and	and	CCONJ
ejpam-6749	827	17	scholars	scholar	NOUN
ejpam-6749	827	18	[	[	X
ejpam-6749	827	19	89	89	NUM
ejpam-6749	827	20	]	]	PUNCT
ejpam-6749	827	21	.	.	PUNCT
ejpam-6749	828	1	mauritania	mauritania	PROPN
ejpam-6749	828	2	’s	’s	PART
ejpam-6749	828	3	whole	whole	ADJ
ejpam-6749	828	4	-	-	PUNCT
ejpam-6749	828	5	of	of	ADP
ejpam-6749	828	6	-	-	PUNCT
ejpam-6749	828	7	society	society	NOUN
ejpam-6749	828	8	deradicalization	deradicalization	NOUN
ejpam-6749	828	9	strategy	strategy	NOUN
ejpam-6749	828	10	demonstrates	demonstrate	VERB
ejpam-6749	828	11	significant	significant	ADJ
ejpam-6749	828	12	efficacy	efficacy	NOUN
ejpam-6749	828	13	through	through	ADP
ejpam-6749	828	14	synergistic	synergistic	ADJ
ejpam-6749	828	15	integration	integration	NOUN
ejpam-6749	828	16	of	of	ADP
ejpam-6749	828	17	religious	religious	ADJ
ejpam-6749	828	18	authority	authority	NOUN
ejpam-6749	828	19	engagement	engagement	NOUN
ejpam-6749	828	20	and	and	CCONJ
ejpam-6749	828	21	upstream	upstream	ADJ
ejpam-6749	828	22	socioeconomic	socioeconomic	ADJ
ejpam-6749	828	23	interventions	intervention	NOUN
ejpam-6749	828	24	.	.	PUNCT
ejpam-6749	829	1	religious	religious	ADJ
ejpam-6749	829	2	leaders	leader	NOUN
ejpam-6749	829	3	’	’	PART
ejpam-6749	829	4	deradicalization	deradicalization	NOUN
ejpam-6749	829	5	functions	function	NOUN
ejpam-6749	829	6	are	be	AUX
ejpam-6749	829	7	systematically	systematically	ADV
ejpam-6749	829	8	complemented	complement	VERB
ejpam-6749	829	9	by	by	ADP
ejpam-6749	829	10	structural	structural	ADJ
ejpam-6749	829	11	prevention	prevention	NOUN
ejpam-6749	829	12	initiatives	initiative	NOUN
ejpam-6749	829	13	targeting	target	VERB
ejpam-6749	829	14	root	root	NOUN
ejpam-6749	829	15	causes	cause	NOUN
ejpam-6749	829	16	,	,	PUNCT
ejpam-6749	829	17	particularly	particularly	ADV
ejpam-6749	829	18	among	among	ADP
ejpam-6749	829	19	youth	youth	NOUN
ejpam-6749	829	20	and	and	CCONJ
ejpam-6749	829	21	marginalized	marginalize	VERB
ejpam-6749	829	22	demographics	demographic	NOUN
ejpam-6749	829	23	.	.	PUNCT
ejpam-6749	830	1	implementation	implementation	NOUN
ejpam-6749	830	2	includes	include	VERB
ejpam-6749	830	3	establishment	establishment	NOUN
ejpam-6749	830	4	of	of	ADP
ejpam-6749	830	5	poverty	poverty	NOUN
ejpam-6749	830	6	alleviation	alleviation	NOUN
ejpam-6749	830	7	mechanisms	mechanism	NOUN
ejpam-6749	830	8	(	(	PUNCT
ejpam-6749	830	9	e.g.	e.g.	ADV
ejpam-6749	830	10	,	,	PUNCT
ejpam-6749	830	11	communal	communal	ADJ
ejpam-6749	830	12	savings	saving	NOUN
ejpam-6749	830	13	/	/	SYM
ejpam-6749	830	14	loan	loan	NOUN
ejpam-6749	830	15	systems	system	NOUN
ejpam-6749	830	16	)	)	PUNCT
ejpam-6749	830	17	and	and	CCONJ
ejpam-6749	830	18	dedicated	dedicated	ADJ
ejpam-6749	830	19	governmental	governmental	ADJ
ejpam-6749	830	20	offices	office	NOUN
ejpam-6749	830	21	for	for	ADP
ejpam-6749	830	22	poverty	poverty	NOUN
ejpam-6749	830	23	eradication	eradication	NOUN
ejpam-6749	830	24	,	,	PUNCT
ejpam-6749	830	25	concurrently	concurrently	ADV
ejpam-6749	830	26	prioritizing	prioritize	VERB
ejpam-6749	830	27	employment	employment	NOUN
ejpam-6749	830	28	generation	generation	NOUN
ejpam-6749	830	29	,	,	PUNCT
ejpam-6749	830	30	continuous	continuous	ADJ
ejpam-6749	830	31	education	education	NOUN
ejpam-6749	830	32	pathways	pathway	NOUN
ejpam-6749	830	33	,	,	PUNCT
ejpam-6749	830	34	and	and	CCONJ
ejpam-6749	830	35	literacy	literacy	NOUN
ejpam-6749	830	36	enhancement	enhancement	NOUN
ejpam-6749	830	37	programs	program	NOUN
ejpam-6749	830	38	.	.	PUNCT
ejpam-6749	831	1	these	these	DET
ejpam-6749	831	2	multisectoral	multisectoral	ADJ
ejpam-6749	831	3	efforts	effort	NOUN
ejpam-6749	831	4	collectively	collectively	ADV
ejpam-6749	831	5	redirect	redirect	VERB
ejpam-6749	831	6	productive	productive	ADJ
ejpam-6749	831	7	capacities	capacity	NOUN
ejpam-6749	831	8	toward	toward	ADP
ejpam-6749	831	9	constructive	constructive	ADJ
ejpam-6749	831	10	development	development	NOUN
ejpam-6749	831	11	while	while	SCONJ
ejpam-6749	831	12	mitigating	mitigate	VERB
ejpam-6749	831	13	socioeconomic	socioeconomic	ADJ
ejpam-6749	831	14	marginalization	marginalization	NOUN
ejpam-6749	831	15	vectors	vector	NOUN
ejpam-6749	831	16	,	,	PUNCT
ejpam-6749	831	17	a	a	DET
ejpam-6749	831	18	critical	critical	ADJ
ejpam-6749	831	19	factor	factor	NOUN
ejpam-6749	831	20	in	in	ADP
ejpam-6749	831	21	radicalization	radicalization	NOUN
ejpam-6749	831	22	susceptibility	susceptibility	NOUN
ejpam-6749	831	23	,	,	PUNCT
ejpam-6749	831	24	thus	thus	ADV
ejpam-6749	831	25	operationalizing	operationalize	VERB
ejpam-6749	831	26	a	a	DET
ejpam-6749	831	27	comprehensive	comprehensive	ADJ
ejpam-6749	831	28	societal	societal	ADJ
ejpam-6749	831	29	resilience	resilience	NOUN
ejpam-6749	831	30	framework	framework	NOUN
ejpam-6749	831	31	[	[	X
ejpam-6749	831	32	89	89	NUM
ejpam-6749	831	33	]	]	PUNCT
ejpam-6749	831	34	.	.	PUNCT
ejpam-6749	832	1	comparative	comparative	ADJ
ejpam-6749	832	2	analysis	analysis	NOUN
ejpam-6749	832	3	of	of	ADP
ejpam-6749	832	4	pioneering	pioneer	VERB
ejpam-6749	832	5	european	european	ADJ
ejpam-6749	832	6	deradicalization	deradicalization	NOUN
ejpam-6749	832	7	frameworks	framework	NOUN
ejpam-6749	832	8	exemplified	exemplify	VERB
ejpam-6749	832	9	by	by	ADP
ejpam-6749	832	10	germany	germany	PROPN
ejpam-6749	832	11	’s	’s	PART
ejpam-6749	832	12	hayat	hayat	PROPN
ejpam-6749	832	13	program	program	PROPN
ejpam-6749	832	14	,	,	PUNCT
ejpam-6749	832	15	the	the	DET
ejpam-6749	832	16	united	united	PROPN
ejpam-6749	832	17	kingdom	kingdom	PROPN
ejpam-6749	832	18	’s	’s	PART
ejpam-6749	832	19	quilliam	quilliam	PROPN
ejpam-6749	832	20	foundation	foundation	PROPN
ejpam-6749	832	21	,	,	PUNCT
ejpam-6749	832	22	and	and	CCONJ
ejpam-6749	832	23	denmark	denmark	PROPN
ejpam-6749	832	24	’s	’s	PART
ejpam-6749	832	25	aarhus	aarhus	PROPN
ejpam-6749	832	26	exit	exit	NOUN
ejpam-6749	832	27	initiative	initiative	NOUN
ejpam-6749	832	28	reveals	reveal	VERB
ejpam-6749	832	29	transferable	transferable	ADJ
ejpam-6749	832	30	methodologies	methodology	NOUN
ejpam-6749	832	31	for	for	ADP
ejpam-6749	832	32	cross	cross	ADJ
ejpam-6749	832	33	-	-	ADJ
ejpam-6749	832	34	national	national	ADJ
ejpam-6749	832	35	policy	policy	NOUN
ejpam-6749	832	36	adaptation	adaptation	NOUN
ejpam-6749	832	37	.	.	PUNCT
ejpam-6749	833	1	these	these	DET
ejpam-6749	833	2	empirically	empirically	ADV
ejpam-6749	833	3	operationalized	operationalize	VERB
ejpam-6749	833	4	programs	program	NOUN
ejpam-6749	833	5	constitute	constitute	VERB
ejpam-6749	833	6	critical	critical	ADJ
ejpam-6749	833	7	referential	referential	ADJ
ejpam-6749	833	8	models	model	NOUN
ejpam-6749	833	9	for	for	ADP
ejpam-6749	833	10	counter	counter	NOUN
ejpam-6749	833	11	-	-	NOUN
ejpam-6749	833	12	radicalization	radicalization	NOUN
ejpam-6749	833	13	strategy	strategy	NOUN
ejpam-6749	833	14	optimization	optimization	NOUN
ejpam-6749	833	15	,	,	PUNCT
ejpam-6749	833	16	offering	offer	VERB
ejpam-6749	833	17	actionable	actionable	ADJ
ejpam-6749	833	18	insights	insight	NOUN
ejpam-6749	833	19	into	into	ADP
ejpam-6749	833	20	the	the	DET
ejpam-6749	833	21	integration	integration	NOUN
ejpam-6749	833	22	of	of	ADP
ejpam-6749	833	23	ideological	ideological	ADJ
ejpam-6749	833	24	deconstruction	deconstruction	NOUN
ejpam-6749	833	25	,	,	PUNCT
ejpam-6749	833	26	psychosocial	psychosocial	ADJ
ejpam-6749	833	27	rehabilitation	rehabilitation	NOUN
ejpam-6749	833	28	,	,	PUNCT
ejpam-6749	833	29	and	and	CCONJ
ejpam-6749	833	30	community	community	NOUN
ejpam-6749	833	31	-	-	PUNCT
ejpam-6749	833	32	based	base	VERB
ejpam-6749	833	33	m.	m.	NOUN
ejpam-6749	833	34	zorom	zorom	NOUN
ejpam-6749	833	35	et	et	PROPN
ejpam-6749	833	36	al	al	PROPN
ejpam-6749	833	37	.	.	PUNCT
ejpam-6749	833	38	/	/	SYM
ejpam-6749	833	39	eur	eur	PROPN
ejpam-6749	833	40	.	.	PUNCT
ejpam-6749	834	1	j.	j.	PROPN
ejpam-6749	834	2	pure	pure	PROPN
ejpam-6749	834	3	appl	appl	PROPN
ejpam-6749	834	4	.	.	PROPN
ejpam-6749	834	5	math	math	PROPN
ejpam-6749	834	6	,	,	PUNCT
ejpam-6749	834	7	18	18	NUM
ejpam-6749	834	8	(	(	PUNCT
ejpam-6749	834	9	4	4	NUM
ejpam-6749	834	10	)	)	PUNCT
ejpam-6749	834	11	(	(	PUNCT
ejpam-6749	834	12	2025	2025	NUM
ejpam-6749	834	13	)	)	PUNCT
ejpam-6749	834	14	,	,	PUNCT
ejpam-6749	834	15	6749	6749	NUM
ejpam-6749	834	16	37	37	NUM
ejpam-6749	834	17	of	of	ADP
ejpam-6749	834	18	47	47	NUM
ejpam-6749	834	19	mathematical	mathematical	ADJ
ejpam-6749	834	20	modeling	modeling	NOUN
ejpam-6749	834	21	&	&	CCONJ
ejpam-6749	834	22	simulation	simulation	PROPN
ejpam-6749	834	23	terrorism	terrorism	NOUN
ejpam-6749	834	24	dynamics	dynamic	VERB
ejpam-6749	834	25	analysis	analysis	VERB
ejpam-6749	834	26	5.2	5.2	NUM
ejpam-6749	834	27	time	time	NOUN
ejpam-6749	834	28	-	-	PUNCT
ejpam-6749	834	29	dependent	dependent	ADJ
ejpam-6749	834	30	sensitivity	sensitivity	NOUN
ejpam-6749	834	31	evolution	evolution	NOUN
ejpam-6749	834	32	0	0	NUM
ejpam-6749	834	33	2	2	NUM
ejpam-6749	834	34	4	4	NUM
ejpam-6749	834	35	6	6	NUM
ejpam-6749	834	36	8	8	NUM
ejpam-6749	834	37	10	10	NUM
ejpam-6749	834	38	12	12	NUM
ejpam-6749	834	39	14	14	NUM
ejpam-6749	834	40	16	16	NUM
ejpam-6749	834	41	18	18	NUM
ejpam-6749	834	42	20	20	NUM
ejpam-6749	834	43	0	0	NUM
ejpam-6749	834	44	0.2	0.2	NUM
ejpam-6749	834	45	0.4	0.4	NUM
ejpam-6749	834	46	0.6	0.6	NUM
ejpam-6749	834	47	0.8	0.8	NUM
ejpam-6749	834	48	1	1	NUM
ejpam-6749	834	49	time	time	NOUN
ejpam-6749	834	50	(	(	PUNCT
ejpam-6749	834	51	years	year	NOUN
ejpam-6749	834	52	)	)	PUNCT
ejpam-6749	834	53	s	s	PART
ejpam-6749	834	54	e	e	NOUN
ejpam-6749	834	55	n	n	SYM
ejpam-6749	834	56	s	s	PRON
ejpam-6749	834	57	it	it	PRON
ejpam-6749	834	58	iv	iv	VERB
ejpam-6749	834	59	it	it	PRON
ejpam-6749	834	60	y	y	INTJ
ejpam-6749	834	61	in	in	ADP
ejpam-6749	834	62	d	d	PROPN
ejpam-6749	834	63	e	e	X
ejpam-6749	834	64	x	x	NOUN
ejpam-6749	834	65	evolution	evolution	NOUN
ejpam-6749	834	66	of	of	ADP
ejpam-6749	834	67	parameter	parameter	NOUN
ejpam-6749	834	68	importance	importance	NOUN
ejpam-6749	834	69	over	over	ADP
ejpam-6749	834	70	time	time	NOUN
ejpam-6749	834	71	β	β	X
ejpam-6749	834	72	(	(	PUNCT
ejpam-6749	834	73	transmission	transmission	NOUN
ejpam-6749	834	74	)	)	PUNCT
ejpam-6749	834	75	δ	δ	PROPN
ejpam-6749	834	76	(	(	PUNCT
ejpam-6749	834	77	military	military	PROPN
ejpam-6749	834	78	)	)	PUNCT
ejpam-6749	834	79	φ	φ	PROPN
ejpam-6749	834	80	(	(	PUNCT
ejpam-6749	834	81	de	de	NOUN
ejpam-6749	834	82	-	-	ADJ
ejpam-6749	834	83	radical	radical	ADJ
ejpam-6749	834	84	.	.	PUNCT
ejpam-6749	834	85	)	)	PUNCT
ejpam-6749	835	1	γ	γ	X
ejpam-6749	835	2	(	(	PUNCT
ejpam-6749	835	3	displacement	displacement	NOUN
ejpam-6749	835	4	)	)	PUNCT
ejpam-6749	835	5	figure	figure	NOUN
ejpam-6749	835	6	7	7	NUM
ejpam-6749	835	7	:	:	PUNCT
ejpam-6749	835	8	temporal	temporal	ADJ
ejpam-6749	835	9	evolution	evolution	NOUN
ejpam-6749	835	10	of	of	ADP
ejpam-6749	835	11	parameter	parameter	NOUN
ejpam-6749	835	12	sensitivity	sensitivity	NOUN
ejpam-6749	835	13	indices	indice	VERB
ejpam-6749	835	14	interpretation	interpretation	NOUN
ejpam-6749	835	15	:	:	PUNCT
ejpam-6749	835	16	figure	figure	NOUN
ejpam-6749	835	17	7	7	NUM
ejpam-6749	835	18	shows	show	VERB
ejpam-6749	835	19	how	how	SCONJ
ejpam-6749	835	20	parameter	parameter	NOUN
ejpam-6749	835	21	importance	importance	NOUN
ejpam-6749	835	22	changes	change	VERB
ejpam-6749	835	23	over	over	ADP
ejpam-6749	835	24	the	the	DET
ejpam-6749	835	25	course	course	NOUN
ejpam-6749	835	26	of	of	ADP
ejpam-6749	835	27	a	a	DET
ejpam-6749	835	28	terrorism	terrorism	NOUN
ejpam-6749	835	29	epidemic	epidemic	NOUN
ejpam-6749	835	30	.	.	PUNCT
ejpam-6749	836	1	initially	initially	ADV
ejpam-6749	836	2	,	,	PUNCT
ejpam-6749	836	3	transmission	transmission	NOUN
ejpam-6749	836	4	rate	rate	NOUN
ejpam-6749	836	5	β	β	X
ejpam-6749	836	6	dominates	dominate	VERB
ejpam-6749	836	7	(	(	PUNCT
ejpam-6749	836	8	85	85	NUM
ejpam-6749	836	9	%	%	NOUN
ejpam-6749	836	10	sensitivity	sensitivity	NOUN
ejpam-6749	836	11	)	)	PUNCT
ejpam-6749	836	12	,	,	PUNCT
ejpam-6749	836	13	re	re	VERB
ejpam-6749	836	14	�	�	VERB
ejpam-6749	836	15	ecting	ecte	VERB
ejpam-6749	836	16	the	the	DET
ejpam-6749	836	17	critical	critical	ADJ
ejpam-6749	836	18	role	role	NOUN
ejpam-6749	836	19	of	of	ADP
ejpam-6749	836	20	preventing	prevent	VERB
ejpam-6749	836	21	radicalization	radicalization	NOUN
ejpam-6749	836	22	spread	spread	VERB
ejpam-6749	836	23	in	in	ADP
ejpam-6749	836	24	early	early	ADJ
ejpam-6749	836	25	stages	stage	NOUN
ejpam-6749	836	26	.	.	PUNCT
ejpam-6749	837	1	as	as	ADP
ejpam-6749	837	2	time	time	NOUN
ejpam-6749	837	3	progresses	progress	NOUN
ejpam-6749	837	4	,	,	PUNCT
ejpam-6749	837	5	military	military	ADJ
ejpam-6749	837	6	elimination	elimination	NOUN
ejpam-6749	837	7	δ	δ	PROPN
ejpam-6749	837	8	becomes	become	VERB
ejpam-6749	837	9	increasingly	increasingly	ADV
ejpam-6749	837	10	important	important	ADJ
ejpam-6749	837	11	,	,	PUNCT
ejpam-6749	837	12	reaching	reach	VERB
ejpam-6749	837	13	68	68	NUM
ejpam-6749	837	14	%	%	NOUN
ejpam-6749	837	15	by	by	ADP
ejpam-6749	837	16	year	year	NOUN
ejpam-6749	837	17	20	20	NUM
ejpam-6749	837	18	,	,	PUNCT
ejpam-6749	837	19	while	while	SCONJ
ejpam-6749	837	20	transmission	transmission	NOUN
ejpam-6749	837	21	e	e	NOUN
ejpam-6749	837	22	�	�	NOUN
ejpam-6749	837	23	ects	ect	NOUN
ejpam-6749	837	24	diminish	diminish	VERB
ejpam-6749	837	25	to	to	ADP
ejpam-6749	837	26	12	12	NUM
ejpam-6749	837	27	%	%	NOUN
ejpam-6749	837	28	.	.	PUNCT
ejpam-6749	838	1	de	de	PROPN
ejpam-6749	838	2	-	-	NOUN
ejpam-6749	838	3	radicalization	radicalization	NOUN
ejpam-6749	838	4	φ	φ	PROPN
ejpam-6749	838	5	shows	show	VERB
ejpam-6749	838	6	steady	steady	ADJ
ejpam-6749	838	7	growth	growth	NOUN
ejpam-6749	838	8	in	in	ADP
ejpam-6749	838	9	importance	importance	NOUN
ejpam-6749	838	10	(	(	PUNCT
ejpam-6749	838	11	5	5	NUM
ejpam-6749	838	12	%	%	NOUN
ejpam-6749	838	13	to	to	PART
ejpam-6749	838	14	42	42	NUM
ejpam-6749	838	15	%	%	NOUN
ejpam-6749	838	16	)	)	PUNCT
ejpam-6749	838	17	,	,	PUNCT
ejpam-6749	838	18	highlighting	highlight	VERB
ejpam-6749	838	19	its	its	PRON
ejpam-6749	838	20	long	long	ADJ
ejpam-6749	838	21	-	-	PUNCT
ejpam-6749	838	22	term	term	NOUN
ejpam-6749	838	23	value	value	NOUN
ejpam-6749	838	24	.	.	PUNCT
ejpam-6749	839	1	this	this	DET
ejpam-6749	839	2	temporal	temporal	ADJ
ejpam-6749	839	3	pattern	pattern	NOUN
ejpam-6749	839	4	suggests	suggest	VERB
ejpam-6749	839	5	that	that	SCONJ
ejpam-6749	839	6	e	e	PROPN
ejpam-6749	839	7	�	�	PROPN
ejpam-6749	839	8	ective	ective	ADJ
ejpam-6749	839	9	counter	counter	NOUN
ejpam-6749	839	10	-	-	NOUN
ejpam-6749	839	11	terrorism	terrorism	NOUN
ejpam-6749	839	12	requires	require	VERB
ejpam-6749	839	13	adaptive	adaptive	ADJ
ejpam-6749	839	14	strategies	strategy	NOUN
ejpam-6749	839	15	:	:	PUNCT
ejpam-6749	839	16	early	early	ADJ
ejpam-6749	839	17	focus	focus	NOUN
ejpam-6749	839	18	on	on	ADP
ejpam-6749	839	19	prevention	prevention	NOUN
ejpam-6749	839	20	and	and	CCONJ
ejpam-6749	839	21	containment	containment	NOUN
ejpam-6749	839	22	,	,	PUNCT
ejpam-6749	839	23	followed	follow	VERB
ejpam-6749	839	24	by	by	ADP
ejpam-6749	839	25	sustained	sustained	ADJ
ejpam-6749	839	26	military	military	NOUN
ejpam-6749	839	27	and	and	CCONJ
ejpam-6749	839	28	de	de	NOUN
ejpam-6749	839	29	-	-	NOUN
ejpam-6749	839	30	radicalization	radicalization	NOUN
ejpam-6749	839	31	e	e	NOUN
ejpam-6749	839	32	�	�	NOUN
ejpam-6749	839	33	orts	ort	NOUN
ejpam-6749	839	34	.	.	PUNCT
ejpam-6749	840	1	9	9	NUM
ejpam-6749	840	2	figure	figure	NOUN
ejpam-6749	840	3	9	9	NUM
ejpam-6749	840	4	:	:	PUNCT
ejpam-6749	840	5	temporal	temporal	ADJ
ejpam-6749	840	6	evolution	evolution	NOUN
ejpam-6749	840	7	of	of	ADP
ejpam-6749	840	8	parameter	parameter	NOUN
ejpam-6749	840	9	sensitivity	sensitivity	NOUN
ejpam-6749	840	10	indices	indice	VERB
ejpam-6749	840	11	reintegration	reintegration	NOUN
ejpam-6749	840	12	protocols	protocol	NOUN
ejpam-6749	840	13	within	within	ADP
ejpam-6749	840	14	heterogeneous	heterogeneous	ADJ
ejpam-6749	840	15	sociopolitical	sociopolitical	ADJ
ejpam-6749	840	16	contexts	context	NOUN
ejpam-6749	841	1	[	[	X
ejpam-6749	841	2	90	90	NUM
ejpam-6749	841	3	]	]	PUNCT
ejpam-6749	841	4	.	.	PUNCT
ejpam-6749	842	1	germany	germany	PROPN
ejpam-6749	842	2	’s	’s	PART
ejpam-6749	842	3	pioneering	pioneer	VERB
ejpam-6749	842	4	civil	civil	ADJ
ejpam-6749	842	5	-	-	PUNCT
ejpam-6749	842	6	society	society	NOUN
ejpam-6749	842	7	deradicalization	deradicalization	NOUN
ejpam-6749	842	8	program	program	NOUN
ejpam-6749	842	9	hayat	hayat	PROPN
ejpam-6749	842	10	initiated	initiate	VERB
ejpam-6749	842	11	by	by	ADP
ejpam-6749	842	12	berlin	berlin	PROPN
ejpam-6749	842	13	’s	’s	PART
ejpam-6749	842	14	centre	centre	NOUN
ejpam-6749	842	15	for	for	ADP
ejpam-6749	842	16	democratic	democratic	ADJ
ejpam-6749	842	17	culture	culture	NOUN
ejpam-6749	842	18	(	(	PUNCT
ejpam-6749	842	19	zdk	zdk	NOUN
ejpam-6749	842	20	)	)	PUNCT
ejpam-6749	842	21	leveraging	leverage	VERB
ejpam-6749	842	22	prior	prior	ADJ
ejpam-6749	842	23	expertise	expertise	NOUN
ejpam-6749	842	24	from	from	ADP
ejpam-6749	842	25	right	right	ADJ
ejpam-6749	842	26	wing	wing	NOUN
ejpam-6749	842	27	extremist	extremist	ADJ
ejpam-6749	842	28	disengagement	disengagement	NOUN
ejpam-6749	842	29	(	(	PUNCT
ejpam-6749	842	30	”	"	PUNCT
ejpam-6749	842	31	exit	exit	NOUN
ejpam-6749	842	32	-	-	PUNCT
ejpam-6749	842	33	deutschland	deutschland	NOUN
ejpam-6749	842	34	”	"	PUNCT
ejpam-6749	842	35	)	)	PUNCT
ejpam-6749	842	36	operationalizes	operationalize	VERB
ejpam-6749	842	37	a	a	DET
ejpam-6749	842	38	tripartite	tripartite	ADJ
ejpam-6749	842	39	intervention	intervention	NOUN
ejpam-6749	842	40	framework	framework	NOUN
ejpam-6749	842	41	for	for	ADP
ejpam-6749	842	42	individuals	individual	NOUN
ejpam-6749	842	43	across	across	ADP
ejpam-6749	842	44	the	the	DET
ejpam-6749	842	45	radicalization	radicalization	NOUN
ejpam-6749	843	1	continuum	continuum	ADJ
ejpam-6749	843	2	:	:	PUNCT
ejpam-6749	843	3	pre	pre	ADJ
ejpam-6749	843	4	-	-	NOUN
ejpam-6749	843	5	radicalization	radicalization	ADJ
ejpam-6749	843	6	,	,	PUNCT
ejpam-6749	843	7	active	active	ADJ
ejpam-6749	843	8	engagement	engagement	NOUN
ejpam-6749	843	9	,	,	PUNCT
ejpam-6749	843	10	and	and	CCONJ
ejpam-6749	843	11	post	post	ADJ
ejpam-6749	843	12	-	-	ADJ
ejpam-6749	843	13	conflict	conflict	ADJ
ejpam-6749	843	14	returnees	returnee	NOUN
ejpam-6749	843	15	from	from	ADP
ejpam-6749	843	16	jihad	jihad	NOUN
ejpam-6749	843	17	theaters	theater	NOUN
ejpam-6749	843	18	.	.	PUNCT
ejpam-6749	844	1	its	its	PRON
ejpam-6749	844	2	multidisciplinary	multidisciplinary	ADJ
ejpam-6749	844	3	team	team	NOUN
ejpam-6749	844	4	(	(	PUNCT
ejpam-6749	844	5	incorporating	incorporate	VERB
ejpam-6749	844	6	counter	counter	NOUN
ejpam-6749	844	7	-	-	ADJ
ejpam-6749	844	8	terrorism	terrorism	ADJ
ejpam-6749	844	9	practitioners	practitioner	NOUN
ejpam-6749	844	10	and	and	CCONJ
ejpam-6749	844	11	islamic	islamic	ADJ
ejpam-6749	844	12	studies	study	NOUN
ejpam-6749	844	13	specialists	specialist	NOUN
ejpam-6749	844	14	)	)	PUNCT
ejpam-6749	844	15	implements	implement	VERB
ejpam-6749	844	16	concurrent	concurrent	ADJ
ejpam-6749	844	17	therapeutic	therapeutic	ADJ
ejpam-6749	844	18	,	,	PUNCT
ejpam-6749	844	19	ideological	ideological	ADJ
ejpam-6749	844	20	,	,	PUNCT
ejpam-6749	844	21	and	and	CCONJ
ejpam-6749	844	22	socioeconomic	socioeconomic	ADJ
ejpam-6749	844	23	protocols	protocol	NOUN
ejpam-6749	844	24	through	through	ADP
ejpam-6749	844	25	:	:	PUNCT
ejpam-6749	844	26	1	1	NUM
ejpam-6749	844	27	)	)	PUNCT
ejpam-6749	844	28	trust	trust	NOUN
ejpam-6749	844	29	-	-	PUNCT
ejpam-6749	844	30	based	base	VERB
ejpam-6749	844	31	familial	familial	ADJ
ejpam-6749	844	32	engagement	engagement	NOUN
ejpam-6749	844	33	preserving	preserve	VERB
ejpam-6749	844	34	relational	relational	ADJ
ejpam-6749	844	35	capital	capital	NOUN
ejpam-6749	844	36	during	during	ADP
ejpam-6749	844	37	cognitive	cognitive	ADJ
ejpam-6749	844	38	transformation	transformation	NOUN
ejpam-6749	844	39	;	;	PUNCT
ejpam-6749	844	40	2	2	X
ejpam-6749	844	41	)	)	PUNCT
ejpam-6749	844	42	methodical	methodical	ADJ
ejpam-6749	844	43	dismantling	dismantling	NOUN
ejpam-6749	844	44	of	of	ADP
ejpam-6749	844	45	extremist	extremist	ADJ
ejpam-6749	844	46	epistemologies	epistemology	NOUN
ejpam-6749	844	47	via	via	ADP
ejpam-6749	844	48	theological	theological	ADJ
ejpam-6749	844	49	counter	counter	NOUN
ejpam-6749	844	50	-	-	NOUN
ejpam-6749	844	51	analysis	analysis	NOUN
ejpam-6749	844	52	;	;	PUNCT
ejpam-6749	844	53	and	and	CCONJ
ejpam-6749	844	54	3	3	X
ejpam-6749	844	55	)	)	PUNCT
ejpam-6749	844	56	socioecological	socioecological	ADJ
ejpam-6749	844	57	recalibration	recalibration	NOUN
ejpam-6749	844	58	through	through	ADP
ejpam-6749	844	59	vocational	vocational	ADJ
ejpam-6749	844	60	reintegration	reintegration	NOUN
ejpam-6749	844	61	,	,	PUNCT
ejpam-6749	844	62	psychological	psychological	ADJ
ejpam-6749	844	63	support	support	NOUN
ejpam-6749	844	64	,	,	PUNCT
ejpam-6749	844	65	and	and	CCONJ
ejpam-6749	844	66	redirection	redirection	NOUN
ejpam-6749	844	67	toward	toward	ADP
ejpam-6749	844	68	mainstream	mainstream	ADJ
ejpam-6749	844	69	theological	theological	ADJ
ejpam-6749	844	70	communities	community	NOUN
ejpam-6749	844	71	,	,	PUNCT
ejpam-6749	844	72	collectively	collectively	ADV
ejpam-6749	844	73	addressing	address	VERB
ejpam-6749	844	74	radicalization	radicalization	NOUN
ejpam-6749	844	75	’s	’s	PART
ejpam-6749	844	76	psychosocial	psychosocial	ADJ
ejpam-6749	844	77	determinants	determinant	NOUN
ejpam-6749	844	78	while	while	SCONJ
ejpam-6749	844	79	enabling	enable	VERB
ejpam-6749	844	80	community	community	NOUN
ejpam-6749	844	81	-	-	PUNCT
ejpam-6749	844	82	based	base	VERB
ejpam-6749	844	83	disengagement	disengagement	ADJ
ejpam-6749	844	84	pathways	pathway	NOUN
ejpam-6749	844	85	.	.	PUNCT
ejpam-6749	845	1	the	the	DET
ejpam-6749	845	2	german	german	ADJ
ejpam-6749	845	3	violence	violence	NOUN
ejpam-6749	845	4	prevention	prevention	NOUN
ejpam-6749	845	5	network	network	NOUN
ejpam-6749	845	6	(	(	PUNCT
ejpam-6749	845	7	vpn	vpn	NOUN
ejpam-6749	845	8	)	)	PUNCT
ejpam-6749	845	9	initiative	initiative	NOUN
ejpam-6749	845	10	operates	operate	VERB
ejpam-6749	845	11	under	under	ADP
ejpam-6749	845	12	the	the	DET
ejpam-6749	845	13	administrative	administrative	ADJ
ejpam-6749	845	14	governance	governance	NOUN
ejpam-6749	845	15	of	of	ADP
ejpam-6749	845	16	hesse	hesse	PROPN
ejpam-6749	845	17	’s	’s	PART
ejpam-6749	845	18	information	information	NOUN
ejpam-6749	845	19	and	and	CCONJ
ejpam-6749	845	20	competence	competence	NOUN
ejpam-6749	845	21	centre	centre	NOUN
ejpam-6749	845	22	against	against	ADP
ejpam-6749	845	23	extremism	extremism	NOUN
ejpam-6749	845	24	(	(	PUNCT
ejpam-6749	845	25	hessisches	hessische	NOUN
ejpam-6749	845	26	informationsund	informationsund	VERB
ejpam-6749	845	27	kompetenzzentrum	kompetenzzentrum	PROPN
ejpam-6749	845	28	gegen	gegen	PROPN
ejpam-6749	845	29	extremismus	extremismus	PROPN
ejpam-6749	845	30	hke	hke	PROPN
ejpam-6749	845	31	)	)	PUNCT
ejpam-6749	845	32	,	,	PUNCT
ejpam-6749	845	33	a	a	DET
ejpam-6749	845	34	subsidiary	subsidiary	NOUN
ejpam-6749	845	35	entity	entity	NOUN
ejpam-6749	845	36	of	of	ADP
ejpam-6749	845	37	the	the	DET
ejpam-6749	845	38	state	state	PROPN
ejpam-6749	845	39	ministry	ministry	PROPN
ejpam-6749	845	40	of	of	ADP
ejpam-6749	845	41	the	the	DET
ejpam-6749	845	42	interior	interior	PROPN
ejpam-6749	845	43	and	and	CCONJ
ejpam-6749	845	44	sports	sport	NOUN
ejpam-6749	845	45	.	.	PUNCT
ejpam-6749	846	1	this	this	DET
ejpam-6749	846	2	correctional	correctional	ADJ
ejpam-6749	846	3	facility	facility	NOUN
ejpam-6749	846	4	program	program	NOUN
ejpam-6749	846	5	employs	employ	VERB
ejpam-6749	846	6	specialized	specialized	ADJ
ejpam-6749	846	7	intervention	intervention	NOUN
ejpam-6749	846	8	agents	agent	NOUN
ejpam-6749	846	9	of	of	ADP
ejpam-6749	846	10	turkish	turkish	ADJ
ejpam-6749	846	11	-	-	PUNCT
ejpam-6749	846	12	german	german	ADJ
ejpam-6749	846	13	origin	origin	NOUN
ejpam-6749	846	14	possessing	possess	VERB
ejpam-6749	846	15	formal	formal	ADJ
ejpam-6749	846	16	islamology	islamology	NOUN
ejpam-6749	846	17	credentials	credential	NOUN
ejpam-6749	846	18	from	from	ADP
ejpam-6749	846	19	goethe	goethe	PROPN
ejpam-6749	846	20	university	university	NOUN
ejpam-6749	846	21	frankfurt	frankfurt	PROPN
ejpam-6749	846	22	,	,	PUNCT
ejpam-6749	846	23	whose	whose	DET
ejpam-6749	846	24	non	non	ADJ
ejpam-6749	846	25	-	-	ADJ
ejpam-6749	846	26	clerical	clerical	ADJ
ejpam-6749	846	27	academic	academic	ADJ
ejpam-6749	846	28	preparation	preparation	NOUN
ejpam-6749	846	29	encompassed	encompass	VERB
ejpam-6749	846	30	advanced	advanced	ADJ
ejpam-6749	846	31	arabic	arabic	ADJ
ejpam-6749	846	32	linguistic	linguistic	ADJ
ejpam-6749	846	33	proficiency	proficiency	NOUN
ejpam-6749	846	34	,	,	PUNCT
ejpam-6749	846	35	islamic	islamic	ADJ
ejpam-6749	846	36	historiography	historiography	NOUN
ejpam-6749	846	37	,	,	PUNCT
ejpam-6749	846	38	m.	m.	NOUN
ejpam-6749	846	39	zorom	zorom	NOUN
ejpam-6749	846	40	et	et	PROPN
ejpam-6749	847	1	al	al	PROPN
ejpam-6749	847	2	.	.	PUNCT
ejpam-6749	847	3	/	/	SYM
ejpam-6749	847	4	eur	eur	PROPN
ejpam-6749	847	5	.	.	PUNCT
ejpam-6749	848	1	j.	j.	PROPN
ejpam-6749	848	2	pure	pure	PROPN
ejpam-6749	848	3	appl	appl	PROPN
ejpam-6749	848	4	.	.	PROPN
ejpam-6749	848	5	math	math	PROPN
ejpam-6749	848	6	,	,	PUNCT
ejpam-6749	848	7	18	18	NUM
ejpam-6749	848	8	(	(	PUNCT
ejpam-6749	848	9	4	4	NUM
ejpam-6749	848	10	)	)	PUNCT
ejpam-6749	848	11	(	(	PUNCT
ejpam-6749	848	12	2025	2025	NUM
ejpam-6749	848	13	)	)	PUNCT
ejpam-6749	848	14	,	,	PUNCT
ejpam-6749	848	15	6749	6749	NUM
ejpam-6749	848	16	38	38	NUM
ejpam-6749	848	17	of	of	ADP
ejpam-6749	848	18	47	47	NUM
ejpam-6749	848	19	mathematical	mathematical	ADJ
ejpam-6749	848	20	modeling	modeling	NOUN
ejpam-6749	848	21	&	&	CCONJ
ejpam-6749	848	22	simulation	simulation	PROPN
ejpam-6749	848	23	terrorism	terrorism	NOUN
ejpam-6749	848	24	dynamics	dynamic	VERB
ejpam-6749	848	25	analysis	analysis	NOUN
ejpam-6749	848	26	6	6	NUM
ejpam-6749	848	27	policy	policy	NOUN
ejpam-6749	848	28	intervention	intervention	NOUN
ejpam-6749	848	29	scenarios	scenario	VERB
ejpam-6749	848	30	6.1	6.1	NUM
ejpam-6749	848	31	comparative	comparative	ADJ
ejpam-6749	848	32	analysis	analysis	NOUN
ejpam-6749	848	33	of	of	ADP
ejpam-6749	848	34	counter	counter	ADJ
ejpam-6749	848	35	-	-	ADJ
ejpam-6749	848	36	terrorism	terrorism	ADJ
ejpam-6749	848	37	strategies	strategy	NOUN
ejpam-6749	848	38	0	0	NUM
ejpam-6749	848	39	2	2	NUM
ejpam-6749	848	40	4	4	NUM
ejpam-6749	848	41	6	6	NUM
ejpam-6749	848	42	8	8	NUM
ejpam-6749	848	43	10	10	NUM
ejpam-6749	848	44	12	12	NUM
ejpam-6749	848	45	14	14	NUM
ejpam-6749	848	46	16	16	NUM
ejpam-6749	848	47	18	18	NUM
ejpam-6749	848	48	20	20	NUM
ejpam-6749	848	49	0	0	NUM
ejpam-6749	848	50	50	50	NUM
ejpam-6749	848	51	100	100	NUM
ejpam-6749	848	52	150	150	NUM
ejpam-6749	848	53	200	200	NUM
ejpam-6749	848	54	time	time	NOUN
ejpam-6749	848	55	(	(	PUNCT
ejpam-6749	848	56	years	year	NOUN
ejpam-6749	848	57	)	)	PUNCT
ejpam-6749	848	58	t	t	NOUN
ejpam-6749	849	1	e	e	NOUN
ejpam-6749	849	2	r	r	NOUN
ejpam-6749	849	3	r	r	NOUN
ejpam-6749	849	4	o	o	NOUN
ejpam-6749	849	5	r	r	NOUN
ejpam-6749	849	6	is	be	AUX
ejpam-6749	849	7	t	t	PROPN
ejpam-6749	849	8	p	p	NOUN
ejpam-6749	849	9	o	o	X
ejpam-6749	849	10	p	p	X
ejpam-6749	849	11	u	u	X
ejpam-6749	849	12	la	la	PROPN
ejpam-6749	849	13	t	t	PROPN
ejpam-6749	849	14	io	io	X
ejpam-6749	849	15	n	n	PRON
ejpam-6749	849	16	policy	policy	NOUN
ejpam-6749	849	17	intervention	intervention	NOUN
ejpam-6749	849	18	scenarios	scenario	NOUN
ejpam-6749	849	19	:	:	PUNCT
ejpam-6749	849	20	comparative	comparative	ADJ
ejpam-6749	849	21	e	e	PROPN
ejpam-6749	849	22	�	�	PROPN
ejpam-6749	849	23	ectiveness	ectiveness	NOUN
ejpam-6749	849	24	baseline	baseline	PROPN
ejpam-6749	849	25	military	military	ADJ
ejpam-6749	849	26	only	only	ADJ
ejpam-6749	849	27	prevention	prevention	NOUN
ejpam-6749	849	28	only	only	ADV
ejpam-6749	849	29	combined	combine	VERB
ejpam-6749	849	30	strategy	strategy	NOUN
ejpam-6749	849	31	figure	figure	NOUN
ejpam-6749	849	32	8	8	NUM
ejpam-6749	849	33	:	:	PUNCT
ejpam-6749	849	34	comparison	comparison	NOUN
ejpam-6749	849	35	of	of	ADP
ejpam-6749	849	36	di	di	PROPN
ejpam-6749	849	37	�	�	PROPN
ejpam-6749	849	38	erent	erent	NOUN
ejpam-6749	849	39	counter	counter	NOUN
ejpam-6749	849	40	-	-	NOUN
ejpam-6749	849	41	terrorism	terrorism	NOUN
ejpam-6749	849	42	approaches	approach	VERB
ejpam-6749	849	43	interpretation	interpretation	NOUN
ejpam-6749	849	44	:	:	PUNCT
ejpam-6749	849	45	figure	figure	NOUN
ejpam-6749	849	46	8	8	NUM
ejpam-6749	849	47	compares	compare	VERB
ejpam-6749	849	48	the	the	DET
ejpam-6749	849	49	e	e	NOUN
ejpam-6749	849	50	�	�	PROPN
ejpam-6749	849	51	ectiveness	ectiveness	NOUN
ejpam-6749	849	52	of	of	ADP
ejpam-6749	849	53	di	di	PROPN
ejpam-6749	849	54	�	�	PROPN
ejpam-6749	849	55	erent	erent	NOUN
ejpam-6749	849	56	intervention	intervention	NOUN
ejpam-6749	849	57	strategies	strategy	NOUN
ejpam-6749	849	58	.	.	PUNCT
ejpam-6749	850	1	the	the	DET
ejpam-6749	850	2	baseline	baseline	PROPN
ejpam-6749	850	3	scenario	scenario	NOUN
ejpam-6749	850	4	(	(	PUNCT
ejpam-6749	850	5	gray	gray	ADJ
ejpam-6749	850	6	)	)	PUNCT
ejpam-6749	850	7	shows	show	VERB
ejpam-6749	850	8	terrorism	terrorism	NOUN
ejpam-6749	850	9	stabilizing	stabilize	VERB
ejpam-6749	850	10	at	at	ADP
ejpam-6749	850	11	endemic	endemic	ADJ
ejpam-6749	850	12	levels	level	NOUN
ejpam-6749	850	13	around	around	ADP
ejpam-6749	850	14	149	149	NUM
ejpam-6749	850	15	individuals	individual	NOUN
ejpam-6749	850	16	.	.	PUNCT
ejpam-6749	851	1	military	military	ADJ
ejpam-6749	851	2	-	-	PUNCT
ejpam-6749	851	3	only	only	ADV
ejpam-6749	851	4	intervention	intervention	NOUN
ejpam-6749	851	5	(	(	PUNCT
ejpam-6749	851	6	red	red	ADJ
ejpam-6749	851	7	)	)	PUNCT
ejpam-6749	851	8	provides	provide	VERB
ejpam-6749	851	9	moderate	moderate	ADJ
ejpam-6749	851	10	reduction	reduction	NOUN
ejpam-6749	851	11	to	to	ADP
ejpam-6749	851	12	approximately	approximately	ADV
ejpam-6749	851	13	112	112	NUM
ejpam-6749	851	14	individuals	individual	NOUN
ejpam-6749	851	15	but	but	CCONJ
ejpam-6749	851	16	fails	fail	VERB
ejpam-6749	851	17	to	to	PART
ejpam-6749	851	18	eliminate	eliminate	VERB
ejpam-6749	851	19	terrorism	terrorism	NOUN
ejpam-6749	851	20	.	.	PUNCT
ejpam-6749	852	1	prevention	prevention	NOUN
ejpam-6749	852	2	-	-	PUNCT
ejpam-6749	852	3	only	only	ADV
ejpam-6749	852	4	approaches	approach	NOUN
ejpam-6749	852	5	(	(	PUNCT
ejpam-6749	852	6	orange	orange	PROPN
ejpam-6749	852	7	)	)	PUNCT
ejpam-6749	852	8	initially	initially	ADV
ejpam-6749	852	9	show	show	VERB
ejpam-6749	852	10	slower	slow	ADJ
ejpam-6749	852	11	progress	progress	NOUN
ejpam-6749	852	12	but	but	CCONJ
ejpam-6749	852	13	eventually	eventually	ADV
ejpam-6749	852	14	achieve	achieve	VERB
ejpam-6749	852	15	near	near	ADJ
ejpam-6749	852	16	-	-	PUNCT
ejpam-6749	852	17	elimination	elimination	NOUN
ejpam-6749	852	18	by	by	ADP
ejpam-6749	852	19	year	year	NOUN
ejpam-6749	852	20	20	20	NUM
ejpam-6749	852	21	.	.	PUNCT
ejpam-6749	853	1	the	the	DET
ejpam-6749	853	2	combined	combined	ADJ
ejpam-6749	853	3	strategy	strategy	NOUN
ejpam-6749	853	4	(	(	PUNCT
ejpam-6749	853	5	green	green	ADJ
ejpam-6749	853	6	)	)	PUNCT
ejpam-6749	853	7	demonstrates	demonstrate	VERB
ejpam-6749	853	8	optimal	optimal	ADJ
ejpam-6749	853	9	performance	performance	NOUN
ejpam-6749	853	10	,	,	PUNCT
ejpam-6749	853	11	rapidly	rapidly	ADV
ejpam-6749	853	12	reducing	reduce	VERB
ejpam-6749	853	13	terrorism	terrorism	NOUN
ejpam-6749	853	14	to	to	ADP
ejpam-6749	853	15	negligible	negligible	ADJ
ejpam-6749	853	16	levels	level	NOUN
ejpam-6749	853	17	within	within	ADP
ejpam-6749	853	18	15	15	NUM
ejpam-6749	853	19	years	year	NOUN
ejpam-6749	853	20	.	.	PUNCT
ejpam-6749	854	1	this	this	DET
ejpam-6749	854	2	analysis	analysis	NOUN
ejpam-6749	854	3	strongly	strongly	ADV
ejpam-6749	854	4	supports	support	VERB
ejpam-6749	854	5	the	the	DET
ejpam-6749	854	6	paper	paper	NOUN
ejpam-6749	854	7	's	's	PART
ejpam-6749	854	8	central	central	ADJ
ejpam-6749	854	9	conclusion	conclusion	NOUN
ejpam-6749	854	10	that	that	SCONJ
ejpam-6749	854	11	integrated	integrate	VERB
ejpam-6749	854	12	approaches	approach	NOUN
ejpam-6749	854	13	combining	combine	VERB
ejpam-6749	854	14	military	military	ADJ
ejpam-6749	854	15	action	action	NOUN
ejpam-6749	854	16	with	with	ADP
ejpam-6749	854	17	prevention	prevention	NOUN
ejpam-6749	854	18	and	and	CCONJ
ejpam-6749	854	19	deradicalization	deradicalization	NOUN
ejpam-6749	854	20	are	be	AUX
ejpam-6749	854	21	essential	essential	ADJ
ejpam-6749	854	22	for	for	ADP
ejpam-6749	854	23	sustainable	sustainable	ADJ
ejpam-6749	854	24	terrorism	terrorism	NOUN
ejpam-6749	854	25	elimination	elimination	NOUN
ejpam-6749	854	26	.	.	PUNCT
ejpam-6749	855	1	7	7	NUM
ejpam-6749	855	2	mathematical	mathematical	ADJ
ejpam-6749	855	3	validation	validation	NOUN
ejpam-6749	855	4	and	and	CCONJ
ejpam-6749	855	5	robustness	robustness	NOUN
ejpam-6749	855	6	7.1	7.1	NUM
ejpam-6749	855	7	equilibrium	equilibrium	NOUN
ejpam-6749	855	8	existence	existence	NOUN
ejpam-6749	855	9	and	and	CCONJ
ejpam-6749	855	10	uniqueness	uniqueness	NOUN
ejpam-6749	855	11	we	we	PRON
ejpam-6749	855	12	verify	verify	VERB
ejpam-6749	855	13	the	the	DET
ejpam-6749	855	14	theoretical	theoretical	ADJ
ejpam-6749	855	15	predictions	prediction	NOUN
ejpam-6749	855	16	through	through	ADP
ejpam-6749	855	17	numerical	numerical	ADJ
ejpam-6749	855	18	computation	computation	NOUN
ejpam-6749	855	19	of	of	ADP
ejpam-6749	855	20	equilibria	equilibria	PROPN
ejpam-6749	855	21	:	:	PUNCT
ejpam-6749	855	22	theorem	theorem	VERB
ejpam-6749	855	23	1	1	NUM
ejpam-6749	855	24	(	(	PUNCT
ejpam-6749	855	25	disease	disease	NOUN
ejpam-6749	855	26	-	-	PUNCT
ejpam-6749	855	27	free	free	ADJ
ejpam-6749	855	28	equilibrium	equilibrium	NOUN
ejpam-6749	855	29	)	)	PUNCT
ejpam-6749	855	30	.	.	PUNCT
ejpam-6749	856	1	the	the	DET
ejpam-6749	856	2	unique	unique	ADJ
ejpam-6749	856	3	disease	disease	NOUN
ejpam-6749	856	4	-	-	PUNCT
ejpam-6749	856	5	free	free	ADJ
ejpam-6749	856	6	equilibrium	equilibrium	NOUN
ejpam-6749	856	7	is	be	AUX
ejpam-6749	856	8	given	give	VERB
ejpam-6749	856	9	by	by	ADP
ejpam-6749	856	10	:	:	PUNCT
ejpam-6749	856	11	e0	e0	PROPN
ejpam-6749	856	12	=	=	PUNCT
ejpam-6749	856	13	(	(	PUNCT
ejpam-6749	856	14	λ	λ	X
ejpam-6749	856	15	µ+	µ+	PUNCT
ejpam-6749	856	16	γ	γ	X
ejpam-6749	856	17	,	,	PUNCT
ejpam-6749	856	18	0	0	NUM
ejpam-6749	856	19	,	,	PUNCT
ejpam-6749	856	20	γλ	γλ	PROPN
ejpam-6749	856	21	µ(µ+	µ(µ+	PROPN
ejpam-6749	856	22	γ	γ	NOUN
ejpam-6749	856	23	)	)	PUNCT
ejpam-6749	856	24	)	)	PUNCT
ejpam-6749	856	25	(	(	PUNCT
ejpam-6749	856	26	5	5	X
ejpam-6749	856	27	)	)	PUNCT
ejpam-6749	856	28	for	for	ADP
ejpam-6749	856	29	our	our	PRON
ejpam-6749	856	30	parameter	parameter	NOUN
ejpam-6749	856	31	set	set	NOUN
ejpam-6749	856	32	:	:	PUNCT
ejpam-6749	856	33	e0	e0	PROPN
ejpam-6749	856	34	=	=	PUNCT
ejpam-6749	856	35	(	(	PUNCT
ejpam-6749	856	36	9583.3	9583.3	NUM
ejpam-6749	856	37	,	,	PUNCT
ejpam-6749	856	38	0	0	NUM
ejpam-6749	856	39	,	,	PUNCT
ejpam-6749	856	40	399.3	399.3	NUM
ejpam-6749	856	41	)	)	PUNCT
ejpam-6749	856	42	10	10	NUM
ejpam-6749	856	43	figure	figure	NOUN
ejpam-6749	856	44	10	10	NUM
ejpam-6749	856	45	:	:	PUNCT
ejpam-6749	856	46	comparison	comparison	NOUN
ejpam-6749	856	47	of	of	ADP
ejpam-6749	856	48	different	different	ADJ
ejpam-6749	856	49	counter	counter	NOUN
ejpam-6749	856	50	-	-	NOUN
ejpam-6749	856	51	terrorism	terrorism	ADJ
ejpam-6749	856	52	approaches	approach	NOUN
ejpam-6749	856	53	and	and	CCONJ
ejpam-6749	856	54	classical	classical	ADJ
ejpam-6749	856	55	islamic	islamic	ADJ
ejpam-6749	856	56	textual	textual	ADJ
ejpam-6749	856	57	studies	study	NOUN
ejpam-6749	856	58	alongside	alongside	ADP
ejpam-6749	856	59	pedagogical	pedagogical	ADJ
ejpam-6749	856	60	training	training	NOUN
ejpam-6749	856	61	,	,	PUNCT
ejpam-6749	856	62	with	with	ADP
ejpam-6749	856	63	supplementary	supplementary	ADJ
ejpam-6749	856	64	comparative	comparative	ADJ
ejpam-6749	856	65	theology	theology	NOUN
ejpam-6749	856	66	coursework	coursework	NOUN
ejpam-6749	856	67	in	in	ADP
ejpam-6749	856	68	abrahamic	abrahamic	ADJ
ejpam-6749	856	69	traditions	tradition	NOUN
ejpam-6749	856	70	enabling	enable	VERB
ejpam-6749	856	71	contextually	contextually	ADV
ejpam-6749	856	72	nuanced	nuanced	ADJ
ejpam-6749	856	73	deradicalization	deradicalization	NOUN
ejpam-6749	856	74	methodologies	methodology	NOUN
ejpam-6749	856	75	within	within	ADP
ejpam-6749	856	76	carceral	carceral	ADJ
ejpam-6749	856	77	settings	setting	NOUN
ejpam-6749	856	78	.	.	PUNCT
ejpam-6749	857	1	the	the	DET
ejpam-6749	857	2	united	united	PROPN
ejpam-6749	857	3	kingdom	kingdom	PROPN
ejpam-6749	857	4	’s	’s	PART
ejpam-6749	857	5	counter	counter	PROPN
ejpam-6749	857	6	-	-	PROPN
ejpam-6749	857	7	radicalization	radicalization	NOUN
ejpam-6749	857	8	landscape	landscape	NOUN
ejpam-6749	857	9	features	feature	VERB
ejpam-6749	857	10	the	the	DET
ejpam-6749	857	11	paradigmatic	paradigmatic	ADJ
ejpam-6749	857	12	quilliam	quilliam	PROPN
ejpam-6749	857	13	foundation	foundation	PROPN
ejpam-6749	857	14	established	establish	VERB
ejpam-6749	857	15	in	in	ADP
ejpam-6749	857	16	2008	2008	NUM
ejpam-6749	857	17	by	by	ADP
ejpam-6749	857	18	former	former	ADJ
ejpam-6749	857	19	hizb	hizb	PROPN
ejpam-6749	857	20	ut	ut	PROPN
ejpam-6749	857	21	-	-	PUNCT
ejpam-6749	857	22	tahrir	tahrir	PROPN
ejpam-6749	857	23	affiliates	affiliate	NOUN
ejpam-6749	857	24	maajid	maajid	VERB
ejpam-6749	857	25	nawaz	nawaz	NOUN
ejpam-6749	857	26	and	and	CCONJ
ejpam-6749	857	27	ed	ed	NOUN
ejpam-6749	857	28	hussain	hussain	PROPN
ejpam-6749	857	29	—	—	PUNCT
ejpam-6749	857	30	which	which	PRON
ejpam-6749	857	31	employs	employ	VERB
ejpam-6749	857	32	experientially	experientially	ADV
ejpam-6749	857	33	informed	inform	VERB
ejpam-6749	857	34	counter	counter	ADJ
ejpam-6749	857	35	-	-	NOUN
ejpam-6749	857	36	discourse	discourse	ADJ
ejpam-6749	857	37	construction	construction	NOUN
ejpam-6749	857	38	to	to	ADP
ejpam-6749	857	39	systematically	systematically	ADV
ejpam-6749	857	40	counter	counter	VERB
ejpam-6749	857	41	ideological	ideological	ADJ
ejpam-6749	857	42	diffusion	diffusion	NOUN
ejpam-6749	857	43	within	within	ADP
ejpam-6749	857	44	muslim	muslim	ADJ
ejpam-6749	857	45	communities	community	NOUN
ejpam-6749	857	46	.	.	PUNCT
ejpam-6749	858	1	through	through	ADP
ejpam-6749	858	2	multimodal	multimodal	NOUN
ejpam-6749	858	3	advocacy	advocacy	NOUN
ejpam-6749	858	4	promoting	promote	VERB
ejpam-6749	858	5	democratic	democratic	ADJ
ejpam-6749	858	6	acculturation	acculturation	NOUN
ejpam-6749	858	7	(	(	PUNCT
ejpam-6749	858	8	religious	religious	ADJ
ejpam-6749	858	9	pluralism	pluralism	NOUN
ejpam-6749	858	10	,	,	PUNCT
ejpam-6749	858	11	human	human	ADJ
ejpam-6749	858	12	rights	right	NOUN
ejpam-6749	858	13	,	,	PUNCT
ejpam-6749	858	14	and	and	CCONJ
ejpam-6749	858	15	liberal	liberal	ADJ
ejpam-6749	858	16	democratic	democratic	ADJ
ejpam-6749	858	17	values	value	NOUN
ejpam-6749	858	18	)	)	PUNCT
ejpam-6749	858	19	,	,	PUNCT
ejpam-6749	858	20	this	this	DET
ejpam-6749	858	21	preeminent	preeminent	ADJ
ejpam-6749	858	22	organization	organization	NOUN
ejpam-6749	858	23	cultivates	cultivate	VERB
ejpam-6749	858	24	civic	civic	ADJ
ejpam-6749	858	25	belonging	belonging	NOUN
ejpam-6749	858	26	while	while	SCONJ
ejpam-6749	858	27	deploying	deploy	VERB
ejpam-6749	858	28	repentant	repentant	NOUN
ejpam-6749	858	29	jihadists	jihadist	NOUN
ejpam-6749	858	30	’	’	PART
ejpam-6749	858	31	epistemic	epistemic	ADJ
ejpam-6749	858	32	authority	authority	NOUN
ejpam-6749	858	33	to	to	PART
ejpam-6749	858	34	deconstruct	deconstruct	VERB
ejpam-6749	858	35	extremist	extremist	ADJ
ejpam-6749	858	36	narratives	narrative	NOUN
ejpam-6749	858	37	.	.	PUNCT
ejpam-6749	859	1	complementary	complementary	ADJ
ejpam-6749	859	2	public	public	ADJ
ejpam-6749	859	3	knowledge	knowledge	NOUN
ejpam-6749	859	4	dissemination	dissemination	NOUN
ejpam-6749	859	5	platforms	platform	NOUN
ejpam-6749	859	6	demystify	demystify	VERB
ejpam-6749	859	7	jihadism	jihadism	NOUN
ejpam-6749	859	8	’s	’s	PART
ejpam-6749	859	9	ideological	ideological	ADJ
ejpam-6749	859	10	deviations	deviation	NOUN
ejpam-6749	859	11	through	through	ADP
ejpam-6749	859	12	terrorism	terrorism	NOUN
ejpam-6749	859	13	,	,	PUNCT
ejpam-6749	859	14	radicalization	radicalization	NOUN
ejpam-6749	859	15	,	,	PUNCT
ejpam-6749	859	16	and	and	CCONJ
ejpam-6749	859	17	islamism	islamism	PROPN
ejpam-6749	859	18	discourse	discourse	NOUN
ejpam-6749	859	19	framing	framing	NOUN
ejpam-6749	859	20	,	,	PUNCT
ejpam-6749	859	21	thereby	thereby	ADV
ejpam-6749	859	22	operationalizing	operationalize	VERB
ejpam-6749	859	23	a	a	DET
ejpam-6749	859	24	credibility	credibility	NOUN
ejpam-6749	859	25	-	-	PUNCT
ejpam-6749	859	26	based	base	VERB
ejpam-6749	859	27	counter	counter	NOUN
ejpam-6749	859	28	-	-	ADJ
ejpam-6749	859	29	extremism	extremism	ADJ
ejpam-6749	859	30	model	model	NOUN
ejpam-6749	859	31	that	that	PRON
ejpam-6749	859	32	distinguishes	distinguish	VERB
ejpam-6749	859	33	normative	normative	ADJ
ejpam-6749	859	34	religious	religious	ADJ
ejpam-6749	859	35	practice	practice	NOUN
ejpam-6749	859	36	from	from	ADP
ejpam-6749	859	37	violent	violent	ADJ
ejpam-6749	859	38	ideological	ideological	ADJ
ejpam-6749	859	39	permutations	permutation	NOUN
ejpam-6749	859	40	.	.	PUNCT
ejpam-6749	860	1	denmark	denmark	PROPN
ejpam-6749	860	2	’s	’s	PART
ejpam-6749	860	3	exit	exit	NOUN
ejpam-6749	860	4	programme	programme	NOUN
ejpam-6749	860	5	(	(	PUNCT
ejpam-6749	860	6	2014	2014	NUM
ejpam-6749	860	7	)	)	PUNCT
ejpam-6749	860	8	operationalizes	operationalize	VERB
ejpam-6749	860	9	carceral	carceral	ADJ
ejpam-6749	860	10	rehabilitation	rehabilitation	NOUN
ejpam-6749	860	11	through	through	ADP
ejpam-6749	860	12	aarhus	aarhus	PROPN
ejpam-6749	860	13	’	'	PUNCT
ejpam-6749	860	14	infohus	infohus	PROPN
ejpam-6749	860	15	(	(	PUNCT
ejpam-6749	860	16	2010	2010	NUM
ejpam-6749	860	17	)	)	PUNCT
ejpam-6749	860	18	hub	hub	NOUN
ejpam-6749	860	19	,	,	PUNCT
ejpam-6749	860	20	deploying	deploy	VERB
ejpam-6749	860	21	narrative	narrative	NOUN
ejpam-6749	860	22	deconstruction	deconstruction	NOUN
ejpam-6749	860	23	of	of	ADP
ejpam-6749	860	24	jihadist	jihadist	NOUN
ejpam-6749	860	25	metanarratives	metanarrative	NOUN
ejpam-6749	860	26	alongside	alongside	ADP
ejpam-6749	860	27	returnee	returnee	PROPN
ejpam-6749	860	28	incentivization	incentivization	PROPN
ejpam-6749	860	29	protocols	protocol	NOUN
ejpam-6749	860	30	and	and	CCONJ
ejpam-6749	860	31	radicalized	radicalize	VERB
ejpam-6749	860	32	youth	youth	NOUN
ejpam-6749	860	33	advisory	advisory	ADJ
ejpam-6749	860	34	services	service	NOUN
ejpam-6749	860	35	.	.	PUNCT
ejpam-6749	861	1	implementation	implementation	NOUN
ejpam-6749	861	2	features	feature	VERB
ejpam-6749	861	3	interagency	interagency	NOUN
ejpam-6749	861	4	symbiosis	symbiosis	NOUN
ejpam-6749	861	5	:	:	PUNCT
ejpam-6749	861	6	police	police	NOUN
ejpam-6749	861	7	-	-	PUNCT
ejpam-6749	861	8	led	lead	VERB
ejpam-6749	861	9	intelligence	intelligence	NOUN
ejpam-6749	861	10	dissemination	dissemination	NOUN
ejpam-6749	861	11	to	to	ADP
ejpam-6749	861	12	social	social	ADJ
ejpam-6749	861	13	services	service	NOUN
ejpam-6749	861	14	enables	enable	VERB
ejpam-6749	861	15	targeted	targeted	ADJ
ejpam-6749	861	16	reintegration	reintegration	NOUN
ejpam-6749	861	17	,	,	PUNCT
ejpam-6749	861	18	while	while	SCONJ
ejpam-6749	861	19	the	the	DET
ejpam-6749	861	20	hub	hub	NOUN
ejpam-6749	861	21	functions	function	NOUN
ejpam-6749	861	22	as	as	ADP
ejpam-6749	861	23	a	a	DET
ejpam-6749	861	24	community	community	NOUN
ejpam-6749	861	25	extremism	extremism	NOUN
ejpam-6749	861	26	resource	resource	NOUN
ejpam-6749	861	27	nexus	nexus	NOUN
ejpam-6749	861	28	.	.	PUNCT
ejpam-6749	862	1	this	this	DET
ejpam-6749	862	2	model	model	NOUN
ejpam-6749	862	3	demonstrates	demonstrate	VERB
ejpam-6749	862	4	exceptional	exceptional	ADJ
ejpam-6749	862	5	civil	civil	ADJ
ejpam-6749	862	6	society	society	NOUN
ejpam-6749	862	7	-	-	PUNCT
ejpam-6749	862	8	state	state	NOUN
ejpam-6749	862	9	integration	integration	NOUN
ejpam-6749	862	10	,	,	PUNCT
ejpam-6749	862	11	m.	m.	NOUN
ejpam-6749	862	12	zorom	zorom	NOUN
ejpam-6749	862	13	et	et	PROPN
ejpam-6749	862	14	al	al	PROPN
ejpam-6749	862	15	.	.	PUNCT
ejpam-6749	862	16	/	/	SYM
ejpam-6749	862	17	eur	eur	PROPN
ejpam-6749	862	18	.	.	PUNCT
ejpam-6749	863	1	j.	j.	PROPN
ejpam-6749	863	2	pure	pure	PROPN
ejpam-6749	863	3	appl	appl	PROPN
ejpam-6749	863	4	.	.	PROPN
ejpam-6749	863	5	math	math	PROPN
ejpam-6749	863	6	,	,	PUNCT
ejpam-6749	863	7	18	18	NUM
ejpam-6749	863	8	(	(	PUNCT
ejpam-6749	863	9	4	4	NUM
ejpam-6749	863	10	)	)	PUNCT
ejpam-6749	863	11	(	(	PUNCT
ejpam-6749	863	12	2025	2025	NUM
ejpam-6749	863	13	)	)	PUNCT
ejpam-6749	863	14	,	,	PUNCT
ejpam-6749	863	15	6749	6749	NUM
ejpam-6749	863	16	39	39	NUM
ejpam-6749	863	17	of	of	ADP
ejpam-6749	863	18	47	47	NUM
ejpam-6749	863	19	table	table	NOUN
ejpam-6749	864	1	2	2	NUM
ejpam-6749	864	2	:	:	PUNCT
ejpam-6749	864	3	parameter	parameter	NOUN
ejpam-6749	864	4	ranges	range	NOUN
ejpam-6749	864	5	employed	employ	VERB
ejpam-6749	864	6	in	in	ADP
ejpam-6749	864	7	the	the	DET
ejpam-6749	864	8	sobol	sobol	NOUN
ejpam-6749	864	9	sensitivity	sensitivity	NOUN
ejpam-6749	864	10	analysis	analysis	NOUN
ejpam-6749	864	11	of	of	ADP
ejpam-6749	864	12	the	the	DET
ejpam-6749	864	13	terrorism	terrorism	NOUN
ejpam-6749	864	14	model	model	NOUN
ejpam-6749	864	15	equation	equation	NOUN
ejpam-6749	864	16	1	1	NUM
ejpam-6749	864	17	parameters	parameter	NOUN
ejpam-6749	864	18	dimension	dimension	NOUN
ejpam-6749	864	19	variations	variation	NOUN
ejpam-6749	864	20	λ	λ	PROPN
ejpam-6749	864	21	individuals	individual	NOUN
ejpam-6749	864	22	km	km	VERB
ejpam-6749	864	23	−2	−2	NOUN
ejpam-6749	864	24	years−1	years−1	PROPN
ejpam-6749	864	25	12−−13	12−−13	NUM
ejpam-6749	864	26	β	β	X
ejpam-6749	864	27	individuals	individual	NOUN
ejpam-6749	864	28	km	km	PROPN
ejpam-6749	864	29	−2	−2	PROPN
ejpam-6749	864	30	years−1	years−1	PROPN
ejpam-6749	864	31	0.0001−−0.05	0.0001−−0.05	NOUN
ejpam-6749	864	32	µ	µ	PRON
ejpam-6749	864	33	years−1	years−1	PROPN
ejpam-6749	864	34	0.0001−−0.05	0.0001−−0.05	NOUN
ejpam-6749	864	35	γ	γ	PROPN
ejpam-6749	864	36	years−1	years−1	PROPN
ejpam-6749	864	37	0.0001−−0.95	0.0001−−0.95	PROPN
ejpam-6749	864	38	φ	φ	PROPN
ejpam-6749	864	39	years−1	years−1	PROPN
ejpam-6749	864	40	0.0001−−0.95	0.0001−−0.95	PROPN
ejpam-6749	864	41	k	k	PROPN
ejpam-6749	864	42	years−1	years−1	PROPN
ejpam-6749	864	43	0.0001−−0.95	0.0001−−0.95	PROPN
ejpam-6749	864	44	δ	δ	PROPN
ejpam-6749	864	45	years−1	years−1	PROPN
ejpam-6749	864	46	0.0001−−0.95	0.0001−−0.95	PROPN
ejpam-6749	864	47	ϕ	ϕ	PROPN
ejpam-6749	864	48	years−1	years−1	PROPN
ejpam-6749	864	49	0.0001−−0.95	0.0001−−0.95	NOUN
ejpam-6749	864	50	with	with	ADP
ejpam-6749	864	51	contextually	contextually	ADV
ejpam-6749	864	52	responsive	responsive	ADJ
ejpam-6749	864	53	interventions	intervention	NOUN
ejpam-6749	864	54	addressing	address	VERB
ejpam-6749	864	55	second	second	ADJ
ejpam-6749	864	56	/	/	SYM
ejpam-6749	864	57	third	third	ADJ
ejpam-6749	864	58	-	-	PUNCT
ejpam-6749	864	59	generation	generation	NOUN
ejpam-6749	864	60	immigrants	immigrant	NOUN
ejpam-6749	864	61	’	'	PUNCT
ejpam-6749	864	62	sociostructural	sociostructural	ADJ
ejpam-6749	864	63	marginalization	marginalization	NOUN
ejpam-6749	864	64	through	through	ADP
ejpam-6749	864	65	destigmatizing	destigmatize	VERB
ejpam-6749	864	66	implementation	implementation	NOUN
ejpam-6749	864	67	frameworks	framework	NOUN
ejpam-6749	864	68	that	that	PRON
ejpam-6749	864	69	mitigate	mitigate	VERB
ejpam-6749	864	70	communal	communal	ADJ
ejpam-6749	864	71	securitization	securitization	NOUN
ejpam-6749	864	72	externalities	externality	NOUN
ejpam-6749	864	73	.	.	PUNCT
ejpam-6749	865	1	radicalization	radicalization	NOUN
ejpam-6749	865	2	manifests	manifest	VERB
ejpam-6749	865	3	through	through	ADP
ejpam-6749	865	4	non	non	ADJ
ejpam-6749	865	5	-	-	ADJ
ejpam-6749	865	6	linear	linear	ADJ
ejpam-6749	865	7	heterogeneous	heterogeneous	ADJ
ejpam-6749	865	8	pathways	pathway	NOUN
ejpam-6749	865	9	lacking	lack	VERB
ejpam-6749	865	10	universal	universal	ADJ
ejpam-6749	865	11	typologies	typology	NOUN
ejpam-6749	865	12	,	,	PUNCT
ejpam-6749	865	13	emerging	emerge	VERB
ejpam-6749	865	14	from	from	ADP
ejpam-6749	865	15	differential	differential	ADJ
ejpam-6749	865	16	combinatorial	combinatorial	ADJ
ejpam-6749	865	17	patterns	pattern	NOUN
ejpam-6749	865	18	of	of	ADP
ejpam-6749	865	19	socio	socio	NOUN
ejpam-6749	865	20	-	-	PUNCT
ejpam-6749	865	21	structural	structural	ADJ
ejpam-6749	865	22	marginalization	marginalization	NOUN
ejpam-6749	865	23	,	,	PUNCT
ejpam-6749	865	24	psychosocial	psychosocial	ADJ
ejpam-6749	865	25	alienation	alienation	NOUN
ejpam-6749	865	26	,	,	PUNCT
ejpam-6749	865	27	identity	identity	NOUN
ejpam-6749	865	28	seeking	seeking	NOUN
ejpam-6749	865	29	behaviors	behavior	NOUN
ejpam-6749	865	30	,	,	PUNCT
ejpam-6749	865	31	perceived	perceive	VERB
ejpam-6749	865	32	collective	collective	ADJ
ejpam-6749	865	33	grievances	grievance	NOUN
ejpam-6749	865	34	,	,	PUNCT
ejpam-6749	865	35	jihadist	jihadist	ADJ
ejpam-6749	865	36	subcultural	subcultural	ADJ
ejpam-6749	865	37	assimilation	assimilation	NOUN
ejpam-6749	865	38	,	,	PUNCT
ejpam-6749	865	39	sectarian	sectarian	ADJ
ejpam-6749	865	40	recruitment	recruitment	NOUN
ejpam-6749	865	41	mechanisms	mechanism	NOUN
ejpam-6749	865	42	,	,	PUNCT
ejpam-6749	865	43	and	and	CCONJ
ejpam-6749	865	44	violent	violent	ADJ
ejpam-6749	865	45	action	action	NOUN
ejpam-6749	865	46	legitimization	legitimization	NOUN
ejpam-6749	865	47	.	.	PUNCT
ejpam-6749	866	1	this	this	DET
ejpam-6749	866	2	multifactorial	multifactorial	ADJ
ejpam-6749	866	3	etiology	etiology	NOUN
ejpam-6749	866	4	spanning	span	VERB
ejpam-6749	866	5	structural	structural	ADJ
ejpam-6749	866	6	,	,	PUNCT
ejpam-6749	866	7	cognitive	cognitive	ADJ
ejpam-6749	866	8	,	,	PUNCT
ejpam-6749	866	9	and	and	CCONJ
ejpam-6749	866	10	behavioral	behavioral	ADJ
ejpam-6749	866	11	dimensions	dimension	NOUN
ejpam-6749	866	12	precludes	preclude	VERB
ejpam-6749	866	13	universal	universal	ADJ
ejpam-6749	866	14	intervention	intervention	NOUN
ejpam-6749	866	15	paradigms	paradigm	VERB
ejpam-6749	866	16	for	for	ADP
ejpam-6749	866	17	prevention	prevention	NOUN
ejpam-6749	866	18	or	or	CCONJ
ejpam-6749	866	19	deradicalization	deradicalization	NOUN
ejpam-6749	866	20	.	.	PUNCT
ejpam-6749	867	1	current	current	ADJ
ejpam-6749	867	2	program	program	NOUN
ejpam-6749	867	3	efficacy	efficacy	NOUN
ejpam-6749	867	4	assessment	assessment	NOUN
ejpam-6749	867	5	remains	remains	AUX
ejpam-6749	867	6	methodologically	methodologically	ADV
ejpam-6749	867	7	constrained	constrain	VERB
ejpam-6749	867	8	by	by	ADP
ejpam-6749	867	9	limited	limited	ADJ
ejpam-6749	867	10	cohort	cohort	NOUN
ejpam-6749	867	11	sizes	size	NOUN
ejpam-6749	867	12	within	within	ADP
ejpam-6749	867	13	counter	counter	NOUN
ejpam-6749	867	14	-	-	NOUN
ejpam-6749	867	15	radicalization	radicalization	NOUN
ejpam-6749	867	16	initiatives	initiative	NOUN
ejpam-6749	867	17	and	and	CCONJ
ejpam-6749	867	18	insufficient	insufficient	ADJ
ejpam-6749	867	19	longitudinal	longitudinal	ADJ
ejpam-6749	867	20	datasets	dataset	NOUN
ejpam-6749	867	21	,	,	PUNCT
ejpam-6749	867	22	thereby	thereby	ADV
ejpam-6749	867	23	precluding	preclude	VERB
ejpam-6749	867	24	robust	robust	ADJ
ejpam-6749	867	25	outcome	outcome	NOUN
ejpam-6749	867	26	validation	validation	NOUN
ejpam-6749	867	27	and	and	CCONJ
ejpam-6749	867	28	causal	causal	ADJ
ejpam-6749	867	29	inference	inference	NOUN
ejpam-6749	867	30	regarding	regard	VERB
ejpam-6749	867	31	intervention	intervention	NOUN
ejpam-6749	867	32	impacts	impact	NOUN
ejpam-6749	867	33	.	.	PUNCT
ejpam-6749	868	1	the	the	DET
ejpam-6749	868	2	comparative	comparative	ADJ
ejpam-6749	868	3	analysis	analysis	NOUN
ejpam-6749	868	4	of	of	ADP
ejpam-6749	868	5	counter	counter	NOUN
ejpam-6749	868	6	-	-	NOUN
ejpam-6749	868	7	radicalization	radicalization	NOUN
ejpam-6749	868	8	initiatives	initiative	NOUN
ejpam-6749	868	9	across	across	ADP
ejpam-6749	868	10	multiple	multiple	ADJ
ejpam-6749	868	11	contexts	context	NOUN
ejpam-6749	868	12	demonstrates	demonstrate	VERB
ejpam-6749	868	13	that	that	SCONJ
ejpam-6749	868	14	effective	effective	ADJ
ejpam-6749	868	15	prevention	prevention	NOUN
ejpam-6749	868	16	and	and	CCONJ
ejpam-6749	868	17	deradicalization	deradicalization	NOUN
ejpam-6749	868	18	programs	program	NOUN
ejpam-6749	868	19	exhibit	exhibit	VERB
ejpam-6749	868	20	two	two	NUM
ejpam-6749	868	21	critical	critical	ADJ
ejpam-6749	868	22	prerequisites	prerequisite	NOUN
ejpam-6749	868	23	:	:	PUNCT
ejpam-6749	868	24	sustained	sustain	VERB
ejpam-6749	868	25	institutional	institutional	ADJ
ejpam-6749	868	26	commitment	commitment	NOUN
ejpam-6749	868	27	and	and	CCONJ
ejpam-6749	868	28	extended	extend	VERB
ejpam-6749	868	29	temporal	temporal	ADJ
ejpam-6749	868	30	implementation	implementation	NOUN
ejpam-6749	868	31	frameworks	framework	NOUN
ejpam-6749	868	32	.	.	PUNCT
ejpam-6749	869	1	these	these	DET
ejpam-6749	869	2	interventions	intervention	NOUN
ejpam-6749	869	3	necessitate	necessitate	ADJ
ejpam-6749	869	4	individualized	individualized	ADJ
ejpam-6749	869	5	approaches	approach	NOUN
ejpam-6749	869	6	that	that	PRON
ejpam-6749	869	7	systematically	systematically	ADV
ejpam-6749	869	8	examine	examine	VERB
ejpam-6749	869	9	radicalization	radicalization	NOUN
ejpam-6749	869	10	trajectories	trajectory	NOUN
ejpam-6749	869	11	,	,	PUNCT
ejpam-6749	869	12	causal	causal	ADJ
ejpam-6749	869	13	factors	factor	NOUN
ejpam-6749	869	14	underlying	underlie	VERB
ejpam-6749	869	15	ideological	ideological	ADJ
ejpam-6749	869	16	transitions	transition	NOUN
ejpam-6749	869	17	,	,	PUNCT
ejpam-6749	869	18	and	and	CCONJ
ejpam-6749	869	19	operational	operational	ADJ
ejpam-6749	869	20	environments	environment	NOUN
ejpam-6749	869	21	of	of	ADP
ejpam-6749	869	22	extremist	extremist	ADJ
ejpam-6749	869	23	organizations	organization	NOUN
ejpam-6749	869	24	to	to	PART
ejpam-6749	869	25	develop	develop	VERB
ejpam-6749	869	26	targeted	targeted	ADJ
ejpam-6749	869	27	interventions	intervention	NOUN
ejpam-6749	869	28	.	.	PUNCT
ejpam-6749	870	1	the	the	DET
ejpam-6749	870	2	establishment	establishment	NOUN
ejpam-6749	870	3	of	of	ADP
ejpam-6749	870	4	comprehensive	comprehensive	ADJ
ejpam-6749	870	5	stakeholder	stakeholder	NOUN
ejpam-6749	870	6	coordination	coordination	NOUN
ejpam-6749	870	7	mechanisms	mechanism	NOUN
ejpam-6749	870	8	encompassing	encompass	VERB
ejpam-6749	870	9	governmental	governmental	ADJ
ejpam-6749	870	10	,	,	PUNCT
ejpam-6749	870	11	non	non	ADJ
ejpam-6749	870	12	-	-	ADJ
ejpam-6749	870	13	governmental	governmental	ADJ
ejpam-6749	870	14	,	,	PUNCT
ejpam-6749	870	15	religious	religious	ADJ
ejpam-6749	870	16	,	,	PUNCT
ejpam-6749	870	17	and	and	CCONJ
ejpam-6749	870	18	secular	secular	ADJ
ejpam-6749	870	19	actors	actor	NOUN
ejpam-6749	870	20	emerges	emerge	VERB
ejpam-6749	870	21	as	as	ADP
ejpam-6749	870	22	essential	essential	ADJ
ejpam-6749	870	23	for	for	ADP
ejpam-6749	870	24	developing	develop	VERB
ejpam-6749	870	25	programs	program	NOUN
ejpam-6749	870	26	with	with	ADP
ejpam-6749	870	27	broad	broad	ADJ
ejpam-6749	870	28	legitimacy	legitimacy	NOUN
ejpam-6749	870	29	and	and	CCONJ
ejpam-6749	870	30	effectiveness	effectiveness	NOUN
ejpam-6749	870	31	,	,	PUNCT
ejpam-6749	870	32	particularly	particularly	ADV
ejpam-6749	870	33	given	give	VERB
ejpam-6749	870	34	the	the	DET
ejpam-6749	870	35	current	current	ADJ
ejpam-6749	870	36	programmatic	programmatic	ADJ
ejpam-6749	870	37	deficits	deficit	NOUN
ejpam-6749	870	38	observed	observe	VERB
ejpam-6749	870	39	across	across	ADP
ejpam-6749	870	40	central	central	ADJ
ejpam-6749	870	41	sahel	sahel	PROPN
ejpam-6749	870	42	nations	nation	NOUN
ejpam-6749	870	43	.	.	PUNCT
ejpam-6749	871	1	the	the	DET
ejpam-6749	871	2	implementation	implementation	NOUN
ejpam-6749	871	3	of	of	ADP
ejpam-6749	871	4	independent	independent	ADJ
ejpam-6749	871	5	civil	civil	ADJ
ejpam-6749	871	6	society	society	NOUN
ejpam-6749	871	7	mediators	mediator	NOUN
ejpam-6749	871	8	within	within	ADP
ejpam-6749	871	9	territorial	territorial	ADJ
ejpam-6749	871	10	administrative	administrative	ADJ
ejpam-6749	871	11	divisions	division	NOUN
ejpam-6749	871	12	represents	represent	VERB
ejpam-6749	871	13	a	a	DET
ejpam-6749	871	14	potential	potential	ADJ
ejpam-6749	871	15	mechanism	mechanism	NOUN
ejpam-6749	871	16	for	for	ADP
ejpam-6749	871	17	enhancing	enhance	VERB
ejpam-6749	871	18	program	program	NOUN
ejpam-6749	871	19	credibility	credibility	NOUN
ejpam-6749	871	20	and	and	CCONJ
ejpam-6749	871	21	community	community	NOUN
ejpam-6749	871	22	acceptance	acceptance	NOUN
ejpam-6749	871	23	.	.	PUNCT
ejpam-6749	872	1	10	10	NUM
ejpam-6749	872	2	.	.	X
ejpam-6749	872	3	conclusion	conclusion	NOUN
ejpam-6749	872	4	and	and	CCONJ
ejpam-6749	872	5	perspective	perspective	VERB
ejpam-6749	872	6	the	the	DET
ejpam-6749	872	7	compartmental	compartmental	ADJ
ejpam-6749	872	8	ordinary	ordinary	ADJ
ejpam-6749	872	9	differential	differential	ADJ
ejpam-6749	872	10	equation	equation	NOUN
ejpam-6749	872	11	model	model	NOUN
ejpam-6749	872	12	developed	develop	VERB
ejpam-6749	872	13	in	in	ADP
ejpam-6749	872	14	this	this	DET
ejpam-6749	872	15	study	study	NOUN
ejpam-6749	872	16	captures	capture	VERB
ejpam-6749	872	17	the	the	DET
ejpam-6749	872	18	essential	essential	ADJ
ejpam-6749	872	19	dynamics	dynamic	NOUN
ejpam-6749	872	20	of	of	ADP
ejpam-6749	872	21	terrorism	terrorism	NOUN
ejpam-6749	872	22	propagation	propagation	NOUN
ejpam-6749	872	23	in	in	ADP
ejpam-6749	872	24	the	the	DET
ejpam-6749	872	25	central	central	ADJ
ejpam-6749	872	26	sahel	sahel	PROPN
ejpam-6749	872	27	region	region	NOUN
ejpam-6749	872	28	.	.	PUNCT
ejpam-6749	873	1	the	the	DET
ejpam-6749	873	2	m.	m.	NOUN
ejpam-6749	873	3	zorom	zorom	VERB
ejpam-6749	873	4	et	et	PROPN
ejpam-6749	873	5	al	al	PROPN
ejpam-6749	873	6	.	.	PUNCT
ejpam-6749	873	7	/	/	SYM
ejpam-6749	873	8	eur	eur	PROPN
ejpam-6749	873	9	.	.	PUNCT
ejpam-6749	874	1	j.	j.	PROPN
ejpam-6749	874	2	pure	pure	PROPN
ejpam-6749	874	3	appl	appl	PROPN
ejpam-6749	874	4	.	.	PROPN
ejpam-6749	874	5	math	math	PROPN
ejpam-6749	874	6	,	,	PUNCT
ejpam-6749	874	7	18	18	NUM
ejpam-6749	874	8	(	(	PUNCT
ejpam-6749	874	9	4	4	NUM
ejpam-6749	874	10	)	)	PUNCT
ejpam-6749	874	11	(	(	PUNCT
ejpam-6749	874	12	2025	2025	NUM
ejpam-6749	874	13	)	)	PUNCT
ejpam-6749	874	14	,	,	PUNCT
ejpam-6749	874	15	6749	6749	NUM
ejpam-6749	874	16	40	40	NUM
ejpam-6749	874	17	of	of	ADP
ejpam-6749	874	18	47	47	NUM
ejpam-6749	874	19	mathematical	mathematical	ADJ
ejpam-6749	874	20	framework	framework	NOUN
ejpam-6749	874	21	demonstrates	demonstrate	VERB
ejpam-6749	874	22	well	well	ADV
ejpam-6749	874	23	-	-	PUNCT
ejpam-6749	874	24	posed	pose	VERB
ejpam-6749	874	25	structure	structure	NOUN
ejpam-6749	874	26	with	with	ADP
ejpam-6749	874	27	established	establish	VERB
ejpam-6749	874	28	existence	existence	NOUN
ejpam-6749	874	29	,	,	PUNCT
ejpam-6749	874	30	uniqueness	uniqueness	NOUN
ejpam-6749	874	31	,	,	PUNCT
ejpam-6749	874	32	and	and	CCONJ
ejpam-6749	874	33	stability	stability	NOUN
ejpam-6749	874	34	properties	property	NOUN
ejpam-6749	874	35	for	for	ADP
ejpam-6749	874	36	solutions	solution	NOUN
ejpam-6749	874	37	,	,	PUNCT
ejpam-6749	874	38	providing	provide	VERB
ejpam-6749	874	39	an	an	DET
ejpam-6749	874	40	analytical	analytical	ADJ
ejpam-6749	874	41	foundation	foundation	NOUN
ejpam-6749	874	42	for	for	ADP
ejpam-6749	874	43	examining	examine	VERB
ejpam-6749	874	44	counter	counter	ADJ
ejpam-6749	874	45	-	-	NOUN
ejpam-6749	874	46	terrorism	terrorism	NOUN
ejpam-6749	874	47	strategies	strategy	NOUN
ejpam-6749	874	48	.	.	PUNCT
ejpam-6749	875	1	this	this	DET
ejpam-6749	875	2	modeling	modeling	NOUN
ejpam-6749	875	3	approach	approach	NOUN
ejpam-6749	875	4	allows	allow	VERB
ejpam-6749	875	5	for	for	ADP
ejpam-6749	875	6	quantitative	quantitative	ADJ
ejpam-6749	875	7	assessment	assessment	NOUN
ejpam-6749	875	8	of	of	ADP
ejpam-6749	875	9	intervention	intervention	NOUN
ejpam-6749	875	10	effectiveness	effectiveness	NOUN
ejpam-6749	875	11	.	.	PUNCT
ejpam-6749	876	1	the	the	DET
ejpam-6749	876	2	analysis	analysis	NOUN
ejpam-6749	876	3	reveals	reveal	VERB
ejpam-6749	876	4	that	that	SCONJ
ejpam-6749	876	5	the	the	DET
ejpam-6749	876	6	basic	basic	ADJ
ejpam-6749	876	7	reproduction	reproduction	NOUN
ejpam-6749	876	8	number	number	NOUN
ejpam-6749	876	9	r0	r0	NOUN
ejpam-6749	876	10	serves	serve	VERB
ejpam-6749	876	11	as	as	ADP
ejpam-6749	876	12	a	a	DET
ejpam-6749	876	13	critical	critical	ADJ
ejpam-6749	876	14	threshold	threshold	NOUN
ejpam-6749	876	15	parameter	parameter	NOUN
ejpam-6749	876	16	,	,	PUNCT
ejpam-6749	876	17	with	with	ADP
ejpam-6749	876	18	r0	r0	NOUN
ejpam-6749	876	19	=	=	SYM
ejpam-6749	876	20	1	1	NUM
ejpam-6749	876	21	providing	provide	VERB
ejpam-6749	876	22	a	a	DET
ejpam-6749	876	23	demarcation	demarcation	NOUN
ejpam-6749	876	24	between	between	ADP
ejpam-6749	876	25	terrorism	terrorism	NOUN
ejpam-6749	876	26	elimination	elimination	NOUN
ejpam-6749	876	27	and	and	CCONJ
ejpam-6749	876	28	endemic	endemic	ADJ
ejpam-6749	876	29	persistence	persistence	NOUN
ejpam-6749	876	30	regimes	regime	NOUN
ejpam-6749	876	31	.	.	PUNCT
ejpam-6749	877	1	this	this	DET
ejpam-6749	877	2	threshold	threshold	NOUN
ejpam-6749	877	3	relationship	relationship	NOUN
ejpam-6749	877	4	offers	offer	VERB
ejpam-6749	877	5	policy	policy	NOUN
ejpam-6749	877	6	makers	maker	NOUN
ejpam-6749	877	7	quantitative	quantitative	ADJ
ejpam-6749	877	8	targets	target	NOUN
ejpam-6749	877	9	for	for	ADP
ejpam-6749	877	10	intervention	intervention	NOUN
ejpam-6749	877	11	design	design	NOUN
ejpam-6749	877	12	,	,	PUNCT
ejpam-6749	877	13	establishing	establish	VERB
ejpam-6749	877	14	measurable	measurable	ADJ
ejpam-6749	877	15	criteria	criterion	NOUN
ejpam-6749	877	16	for	for	ADP
ejpam-6749	877	17	evaluating	evaluate	VERB
ejpam-6749	877	18	counterterrorism	counterterrorism	NOUN
ejpam-6749	877	19	effectiveness	effectiveness	NOUN
ejpam-6749	877	20	.	.	PUNCT
ejpam-6749	878	1	the	the	DET
ejpam-6749	878	2	transcritical	transcritical	ADJ
ejpam-6749	878	3	bifurcation	bifurcation	NOUN
ejpam-6749	878	4	occurring	occur	VERB
ejpam-6749	878	5	at	at	ADP
ejpam-6749	878	6	this	this	DET
ejpam-6749	878	7	threshold	threshold	NOUN
ejpam-6749	878	8	ensures	ensure	VERB
ejpam-6749	878	9	that	that	SCONJ
ejpam-6749	878	10	no	no	DET
ejpam-6749	878	11	intermediate	intermediate	ADJ
ejpam-6749	878	12	stable	stable	ADJ
ejpam-6749	878	13	states	state	NOUN
ejpam-6749	878	14	exist	exist	VERB
ejpam-6749	878	15	,	,	PUNCT
ejpam-6749	878	16	meaning	mean	VERB
ejpam-6749	878	17	terrorism	terrorism	NOUN
ejpam-6749	878	18	dynamics	dynamic	NOUN
ejpam-6749	878	19	exhibit	exhibit	VERB
ejpam-6749	878	20	binary	binary	ADJ
ejpam-6749	878	21	outcomes	outcome	NOUN
ejpam-6749	878	22	of	of	ADP
ejpam-6749	878	23	either	either	CCONJ
ejpam-6749	878	24	complete	complete	ADJ
ejpam-6749	878	25	elimination	elimination	NOUN
ejpam-6749	878	26	or	or	CCONJ
ejpam-6749	878	27	stabilization	stabilization	NOUN
ejpam-6749	878	28	at	at	ADP
ejpam-6749	878	29	endemic	endemic	ADJ
ejpam-6749	878	30	levels	level	NOUN
ejpam-6749	878	31	.	.	PUNCT
ejpam-6749	879	1	the	the	DET
ejpam-6749	879	2	sensitivity	sensitivity	NOUN
ejpam-6749	879	3	analysis	analysis	NOUN
ejpam-6749	879	4	conclusively	conclusively	ADV
ejpam-6749	879	5	demonstrates	demonstrate	VERB
ejpam-6749	879	6	the	the	DET
ejpam-6749	879	7	limited	limited	ADJ
ejpam-6749	879	8	effectiveness	effectiveness	NOUN
ejpam-6749	879	9	of	of	ADP
ejpam-6749	879	10	military	military	ADJ
ejpam-6749	879	11	interventions	intervention	NOUN
ejpam-6749	879	12	as	as	ADP
ejpam-6749	879	13	standalone	standalone	ADJ
ejpam-6749	879	14	counter	counter	ADJ
ejpam-6749	879	15	-	-	ADJ
ejpam-6749	879	16	terrorism	terrorism	NOUN
ejpam-6749	879	17	strategies	strategy	NOUN
ejpam-6749	879	18	.	.	PUNCT
ejpam-6749	880	1	mathematical	mathematical	ADJ
ejpam-6749	880	2	analysis	analysis	NOUN
ejpam-6749	880	3	indicates	indicate	VERB
ejpam-6749	880	4	that	that	SCONJ
ejpam-6749	880	5	military	military	ADJ
ejpam-6749	880	6	actions	action	NOUN
ejpam-6749	880	7	alone	alone	ADV
ejpam-6749	880	8	contribute	contribute	VERB
ejpam-6749	880	9	less	less	ADJ
ejpam-6749	880	10	than	than	ADP
ejpam-6749	880	11	twenty	twenty	NUM
ejpam-6749	880	12	percent	percent	NOUN
ejpam-6749	880	13	to	to	ADP
ejpam-6749	880	14	sustainable	sustainable	ADJ
ejpam-6749	880	15	terrorism	terrorism	NOUN
ejpam-6749	880	16	control	control	NOUN
ejpam-6749	880	17	,	,	PUNCT
ejpam-6749	880	18	fundamentally	fundamentally	ADV
ejpam-6749	880	19	challenging	challenge	VERB
ejpam-6749	880	20	current	current	ADJ
ejpam-6749	880	21	policy	policy	NOUN
ejpam-6749	880	22	frameworks	framework	NOUN
ejpam-6749	880	23	that	that	PRON
ejpam-6749	880	24	prioritize	prioritize	VERB
ejpam-6749	880	25	military	military	ADJ
ejpam-6749	880	26	solutions	solution	NOUN
ejpam-6749	880	27	.	.	PUNCT
ejpam-6749	881	1	this	this	DET
ejpam-6749	881	2	finding	finding	NOUN
ejpam-6749	881	3	emerges	emerge	VERB
ejpam-6749	881	4	from	from	ADP
ejpam-6749	881	5	the	the	DET
ejpam-6749	881	6	inherent	inherent	ADJ
ejpam-6749	881	7	stability	stability	NOUN
ejpam-6749	881	8	properties	property	NOUN
ejpam-6749	881	9	of	of	ADP
ejpam-6749	881	10	endemic	endemic	ADJ
ejpam-6749	881	11	terrorism	terrorism	NOUN
ejpam-6749	881	12	states	state	NOUN
ejpam-6749	881	13	,	,	PUNCT
ejpam-6749	881	14	where	where	SCONJ
ejpam-6749	881	15	temporary	temporary	ADJ
ejpam-6749	881	16	military	military	ADJ
ejpam-6749	881	17	successes	success	NOUN
ejpam-6749	881	18	reverse	reverse	VERB
ejpam-6749	881	19	unless	unless	SCONJ
ejpam-6749	881	20	underlying	underlie	VERB
ejpam-6749	881	21	structural	structural	ADJ
ejpam-6749	881	22	conditions	condition	NOUN
ejpam-6749	881	23	are	be	AUX
ejpam-6749	881	24	addressed	address	VERB
ejpam-6749	881	25	.	.	PUNCT
ejpam-6749	882	1	the	the	DET
ejpam-6749	882	2	mathematical	mathematical	ADJ
ejpam-6749	882	3	stability	stability	NOUN
ejpam-6749	882	4	of	of	ADP
ejpam-6749	882	5	endemic	endemic	ADJ
ejpam-6749	882	6	terrorism	terrorism	NOUN
ejpam-6749	882	7	highlights	highlight	VERB
ejpam-6749	882	8	the	the	DET
ejpam-6749	882	9	inadequacy	inadequacy	NOUN
ejpam-6749	882	10	of	of	ADP
ejpam-6749	882	11	symptom	symptom	NOUN
ejpam-6749	882	12	focused	focus	VERB
ejpam-6749	882	13	approaches	approach	NOUN
ejpam-6749	882	14	that	that	PRON
ejpam-6749	882	15	fail	fail	VERB
ejpam-6749	882	16	to	to	PART
ejpam-6749	882	17	address	address	VERB
ejpam-6749	882	18	root	root	NOUN
ejpam-6749	882	19	causation	causation	NOUN
ejpam-6749	882	20	mechanisms	mechanism	NOUN
ejpam-6749	882	21	.	.	PUNCT
ejpam-6749	883	1	comprehensive	comprehensive	ADJ
ejpam-6749	883	2	strategies	strategy	NOUN
ejpam-6749	883	3	integrating	integrate	VERB
ejpam-6749	883	4	prevention	prevention	NOUN
ejpam-6749	883	5	,	,	PUNCT
ejpam-6749	883	6	deradicalization	deradicalization	NOUN
ejpam-6749	883	7	,	,	PUNCT
ejpam-6749	883	8	and	and	CCONJ
ejpam-6749	883	9	targeted	target	VERB
ejpam-6749	883	10	military	military	ADJ
ejpam-6749	883	11	action	action	NOUN
ejpam-6749	883	12	achieve	achieve	VERB
ejpam-6749	883	13	effectiveness	effectiveness	NOUN
ejpam-6749	883	14	levels	level	NOUN
ejpam-6749	883	15	exceeding	exceed	VERB
ejpam-6749	883	16	eighty	eighty	NUM
ejpam-6749	883	17	percent	percent	NOUN
ejpam-6749	883	18	according	accord	VERB
ejpam-6749	883	19	to	to	ADP
ejpam-6749	883	20	the	the	DET
ejpam-6749	883	21	sensitivity	sensitivity	NOUN
ejpam-6749	883	22	analysis	analysis	NOUN
ejpam-6749	883	23	.	.	PUNCT
ejpam-6749	884	1	this	this	DET
ejpam-6749	884	2	mathematical	mathematical	ADJ
ejpam-6749	884	3	validation	validation	NOUN
ejpam-6749	884	4	supports	support	VERB
ejpam-6749	884	5	multi	multi	ADJ
ejpam-6749	884	6	-	-	ADJ
ejpam-6749	884	7	faceted	faceted	ADJ
ejpam-6749	884	8	approaches	approach	NOUN
ejpam-6749	884	9	that	that	PRON
ejpam-6749	884	10	address	address	VERB
ejpam-6749	884	11	terrorism	terrorism	NOUN
ejpam-6749	884	12	through	through	ADP
ejpam-6749	884	13	simultaneous	simultaneous	ADJ
ejpam-6749	884	14	intervention	intervention	NOUN
ejpam-6749	884	15	across	across	ADP
ejpam-6749	884	16	multiple	multiple	ADJ
ejpam-6749	884	17	system	system	NOUN
ejpam-6749	884	18	components	component	NOUN
ejpam-6749	884	19	.	.	PUNCT
ejpam-6749	885	1	the	the	DET
ejpam-6749	885	2	modeling	modeling	NOUN
ejpam-6749	885	3	results	result	NOUN
ejpam-6749	885	4	indicate	indicate	VERB
ejpam-6749	885	5	that	that	SCONJ
ejpam-6749	885	6	sustainable	sustainable	ADJ
ejpam-6749	885	7	terrorism	terrorism	NOUN
ejpam-6749	885	8	elimination	elimination	NOUN
ejpam-6749	885	9	requires	require	VERB
ejpam-6749	885	10	coordinated	coordinate	VERB
ejpam-6749	885	11	efforts	effort	NOUN
ejpam-6749	885	12	targeting	target	VERB
ejpam-6749	885	13	recruitment	recruitment	NOUN
ejpam-6749	885	14	prevention	prevention	NOUN
ejpam-6749	885	15	,	,	PUNCT
ejpam-6749	885	16	ideological	ideological	ADJ
ejpam-6749	885	17	counter	counter	NOUN
ejpam-6749	885	18	-	-	NOUN
ejpam-6749	885	19	narratives	narrative	NOUN
ejpam-6749	885	20	,	,	PUNCT
ejpam-6749	885	21	economic	economic	ADJ
ejpam-6749	885	22	development	development	NOUN
ejpam-6749	885	23	,	,	PUNCT
ejpam-6749	885	24	and	and	CCONJ
ejpam-6749	885	25	selective	selective	ADJ
ejpam-6749	885	26	enforcement	enforcement	NOUN
ejpam-6749	885	27	actions	action	NOUN
ejpam-6749	885	28	,	,	PUNCT
ejpam-6749	885	29	rather	rather	ADV
ejpam-6749	885	30	than	than	ADP
ejpam-6749	885	31	relying	rely	VERB
ejpam-6749	885	32	on	on	ADP
ejpam-6749	885	33	any	any	DET
ejpam-6749	885	34	single	single	ADJ
ejpam-6749	885	35	intervention	intervention	NOUN
ejpam-6749	885	36	modality	modality	NOUN
ejpam-6749	885	37	.	.	PUNCT
ejpam-6749	886	1	time	time	NOUN
ejpam-6749	886	2	-	-	PUNCT
ejpam-6749	886	3	dependent	dependent	ADJ
ejpam-6749	886	4	sensitivity	sensitivity	NOUN
ejpam-6749	886	5	analysis	analysis	NOUN
ejpam-6749	886	6	reveals	reveal	VERB
ejpam-6749	886	7	the	the	DET
ejpam-6749	886	8	necessity	necessity	NOUN
ejpam-6749	886	9	for	for	ADP
ejpam-6749	886	10	adaptive	adaptive	ADJ
ejpam-6749	886	11	intervention	intervention	NOUN
ejpam-6749	886	12	strategies	strategy	NOUN
ejpam-6749	886	13	that	that	PRON
ejpam-6749	886	14	evolve	evolve	VERB
ejpam-6749	886	15	across	across	ADP
ejpam-6749	886	16	different	different	ADJ
ejpam-6749	886	17	phases	phase	NOUN
ejpam-6749	886	18	of	of	ADP
ejpam-6749	886	19	counter	counter	ADJ
ejpam-6749	886	20	-	-	ADJ
ejpam-6749	886	21	terrorism	terrorism	NOUN
ejpam-6749	886	22	efforts	effort	NOUN
ejpam-6749	886	23	.	.	PUNCT
ejpam-6749	887	1	the	the	DET
ejpam-6749	887	2	mathematical	mathematical	ADJ
ejpam-6749	887	3	framework	framework	NOUN
ejpam-6749	887	4	suggests	suggest	VERB
ejpam-6749	887	5	optimal	optimal	ADJ
ejpam-6749	887	6	approaches	approach	NOUN
ejpam-6749	887	7	begin	begin	VERB
ejpam-6749	887	8	with	with	ADP
ejpam-6749	887	9	prevention	prevention	NOUN
ejpam-6749	887	10	-	-	PUNCT
ejpam-6749	887	11	focused	focus	VERB
ejpam-6749	887	12	interventions	intervention	NOUN
ejpam-6749	887	13	during	during	ADP
ejpam-6749	887	14	early	early	ADJ
ejpam-6749	887	15	stages	stage	NOUN
ejpam-6749	887	16	,	,	PUNCT
ejpam-6749	887	17	subsequently	subsequently	ADV
ejpam-6749	887	18	transitioning	transition	VERB
ejpam-6749	887	19	to	to	ADP
ejpam-6749	887	20	sustained	sustained	ADJ
ejpam-6749	887	21	rehabilitation	rehabilitation	NOUN
ejpam-6749	887	22	and	and	CCONJ
ejpam-6749	887	23	reintegration	reintegration	NOUN
ejpam-6749	887	24	programs	program	NOUN
ejpam-6749	887	25	.	.	PUNCT
ejpam-6749	888	1	this	this	DET
ejpam-6749	888	2	temporal	temporal	ADJ
ejpam-6749	888	3	evolution	evolution	NOUN
ejpam-6749	888	4	reflects	reflect	VERB
ejpam-6749	888	5	the	the	DET
ejpam-6749	888	6	changing	change	VERB
ejpam-6749	888	7	sensitivity	sensitivity	NOUN
ejpam-6749	888	8	of	of	ADP
ejpam-6749	888	9	system	system	NOUN
ejpam-6749	888	10	parameters	parameter	NOUN
ejpam-6749	888	11	as	as	ADP
ejpam-6749	888	12	terrorism	terrorism	NOUN
ejpam-6749	888	13	dynamics	dynamic	NOUN
ejpam-6749	888	14	progress	progress	VERB
ejpam-6749	888	15	,	,	PUNCT
ejpam-6749	888	16	requiring	require	VERB
ejpam-6749	888	17	policy	policy	NOUN
ejpam-6749	888	18	frameworks	framework	NOUN
ejpam-6749	888	19	capable	capable	ADJ
ejpam-6749	888	20	of	of	ADP
ejpam-6749	888	21	strategic	strategic	ADJ
ejpam-6749	888	22	adaptation	adaptation	NOUN
ejpam-6749	888	23	based	base	VERB
ejpam-6749	888	24	on	on	ADP
ejpam-6749	888	25	mathematical	mathematical	ADJ
ejpam-6749	888	26	indicators	indicator	NOUN
ejpam-6749	888	27	of	of	ADP
ejpam-6749	888	28	system	system	NOUN
ejpam-6749	888	29	state	state	NOUN
ejpam-6749	888	30	.	.	PUNCT
ejpam-6749	889	1	the	the	DET
ejpam-6749	889	2	policy	policy	NOUN
ejpam-6749	889	3	implications	implication	NOUN
ejpam-6749	889	4	emerging	emerge	VERB
ejpam-6749	889	5	from	from	ADP
ejpam-6749	889	6	this	this	DET
ejpam-6749	889	7	mathematical	mathematical	ADJ
ejpam-6749	889	8	analysis	analysis	NOUN
ejpam-6749	889	9	directly	directly	ADV
ejpam-6749	889	10	contradict	contradict	VERB
ejpam-6749	889	11	current	current	ADJ
ejpam-6749	889	12	resource	resource	NOUN
ejpam-6749	889	13	allocation	allocation	NOUN
ejpam-6749	889	14	patterns	pattern	NOUN
ejpam-6749	889	15	across	across	ADP
ejpam-6749	889	16	central	central	ADJ
ejpam-6749	889	17	sahel	sahel	PROPN
ejpam-6749	889	18	nations	nation	NOUN
ejpam-6749	889	19	,	,	PUNCT
ejpam-6749	889	20	where	where	SCONJ
ejpam-6749	889	21	disproportionate	disproportionate	ADJ
ejpam-6749	889	22	budgets	budget	NOUN
ejpam-6749	889	23	are	be	AUX
ejpam-6749	889	24	directed	direct	VERB
ejpam-6749	889	25	toward	toward	ADP
ejpam-6749	889	26	military	military	ADJ
ejpam-6749	889	27	interventions	intervention	NOUN
ejpam-6749	889	28	at	at	ADP
ejpam-6749	889	29	the	the	DET
ejpam-6749	889	30	expense	expense	NOUN
ejpam-6749	889	31	of	of	ADP
ejpam-6749	889	32	development	development	NOUN
ejpam-6749	889	33	programs	program	NOUN
ejpam-6749	889	34	.	.	PUNCT
ejpam-6749	890	1	the	the	DET
ejpam-6749	890	2	quantitative	quantitative	ADJ
ejpam-6749	890	3	findings	finding	NOUN
ejpam-6749	890	4	support	support	VERB
ejpam-6749	890	5	comprehensive	comprehensive	ADJ
ejpam-6749	890	6	socioeconomic	socioeconomic	ADJ
ejpam-6749	890	7	interventions	intervention	NOUN
ejpam-6749	890	8	including	include	VERB
ejpam-6749	890	9	educational	educational	ADJ
ejpam-6749	890	10	access	access	NOUN
ejpam-6749	890	11	expansion	expansion	NOUN
ejpam-6749	890	12	,	,	PUNCT
ejpam-6749	890	13	infrastructure	infrastructure	NOUN
ejpam-6749	890	14	development	development	NOUN
ejpam-6749	890	15	,	,	PUNCT
ejpam-6749	890	16	healthcare	healthcare	NOUN
ejpam-6749	890	17	provision	provision	NOUN
ejpam-6749	890	18	,	,	PUNCT
ejpam-6749	890	19	unemployment	unemployment	NOUN
ejpam-6749	890	20	reduction	reduction	NOUN
ejpam-6749	890	21	,	,	PUNCT
ejpam-6749	890	22	cultural	cultural	ADJ
ejpam-6749	890	23	rights	right	NOUN
ejpam-6749	890	24	protection	protection	NOUN
ejpam-6749	890	25	,	,	PUNCT
ejpam-6749	890	26	corruption	corruption	NOUN
ejpam-6749	890	27	elimination	elimination	NOUN
ejpam-6749	890	28	,	,	PUNCT
ejpam-6749	890	29	and	and	CCONJ
ejpam-6749	890	30	decentralized	decentralize	VERB
ejpam-6749	890	31	governance	governance	NOUN
ejpam-6749	890	32	implementation	implementation	NOUN
ejpam-6749	890	33	.	.	PUNCT
ejpam-6749	891	1	these	these	DET
ejpam-6749	891	2	structural	structural	ADJ
ejpam-6749	891	3	interventions	intervention	NOUN
ejpam-6749	891	4	address	address	VERB
ejpam-6749	891	5	the	the	DET
ejpam-6749	891	6	fundamental	fundamental	ADJ
ejpam-6749	891	7	conditions	condition	NOUN
ejpam-6749	891	8	that	that	PRON
ejpam-6749	891	9	mathematical	mathematical	ADJ
ejpam-6749	891	10	analysis	analysis	NOUN
ejpam-6749	891	11	identifies	identify	VERB
ejpam-6749	891	12	as	as	ADP
ejpam-6749	891	13	primary	primary	ADJ
ejpam-6749	891	14	drivers	driver	NOUN
ejpam-6749	891	15	of	of	ADP
ejpam-6749	891	16	terrorism	terrorism	NOUN
ejpam-6749	891	17	sustainability	sustainability	NOUN
ejpam-6749	891	18	,	,	PUNCT
ejpam-6749	891	19	offering	offer	VERB
ejpam-6749	891	20	evidence	evidence	NOUN
ejpam-6749	891	21	-	-	PUNCT
ejpam-6749	891	22	based	base	VERB
ejpam-6749	891	23	alternatives	alternative	NOUN
ejpam-6749	891	24	to	to	ADP
ejpam-6749	891	25	current	current	ADJ
ejpam-6749	891	26	policy	policy	NOUN
ejpam-6749	891	27	approaches	approach	NOUN
ejpam-6749	891	28	.	.	PUNCT
ejpam-6749	892	1	m.	m.	NOUN
ejpam-6749	892	2	zorom	zorom	NOUN
ejpam-6749	892	3	et	et	PROPN
ejpam-6749	892	4	al	al	PROPN
ejpam-6749	892	5	.	.	PUNCT
ejpam-6749	892	6	/	/	SYM
ejpam-6749	892	7	eur	eur	PROPN
ejpam-6749	892	8	.	.	PUNCT
ejpam-6749	893	1	j.	j.	PROPN
ejpam-6749	893	2	pure	pure	PROPN
ejpam-6749	893	3	appl	appl	PROPN
ejpam-6749	893	4	.	.	PROPN
ejpam-6749	893	5	math	math	PROPN
ejpam-6749	893	6	,	,	PUNCT
ejpam-6749	893	7	18	18	NUM
ejpam-6749	893	8	(	(	PUNCT
ejpam-6749	893	9	4	4	NUM
ejpam-6749	893	10	)	)	PUNCT
ejpam-6749	893	11	(	(	PUNCT
ejpam-6749	893	12	2025	2025	NUM
ejpam-6749	893	13	)	)	PUNCT
ejpam-6749	893	14	,	,	PUNCT
ejpam-6749	893	15	6749	6749	NUM
ejpam-6749	893	16	41	41	NUM
ejpam-6749	893	17	of	of	ADP
ejpam-6749	893	18	47	47	NUM
ejpam-6749	893	19	a	a	DET
ejpam-6749	893	20	key	key	ADJ
ejpam-6749	893	21	limitation	limitation	NOUN
ejpam-6749	893	22	of	of	ADP
ejpam-6749	893	23	this	this	DET
ejpam-6749	893	24	study	study	NOUN
ejpam-6749	893	25	is	be	AUX
ejpam-6749	893	26	the	the	DET
ejpam-6749	893	27	treatment	treatment	NOUN
ejpam-6749	893	28	of	of	ADP
ejpam-6749	893	29	the	the	DET
ejpam-6749	893	30	susceptible	susceptible	ADJ
ejpam-6749	893	31	population	population	NOUN
ejpam-6749	893	32	as	as	ADP
ejpam-6749	893	33	a	a	DET
ejpam-6749	893	34	homogeneous	homogeneous	ADJ
ejpam-6749	893	35	group	group	NOUN
ejpam-6749	893	36	.	.	PUNCT
ejpam-6749	894	1	in	in	ADP
ejpam-6749	894	2	reality	reality	NOUN
ejpam-6749	894	3	,	,	PUNCT
ejpam-6749	894	4	radicalization	radicalization	NOUN
ejpam-6749	894	5	is	be	AUX
ejpam-6749	894	6	influenced	influence	VERB
ejpam-6749	894	7	by	by	ADP
ejpam-6749	894	8	a	a	DET
ejpam-6749	894	9	myriad	myriad	NOUN
ejpam-6749	894	10	of	of	ADP
ejpam-6749	894	11	factors	factor	NOUN
ejpam-6749	894	12	including	include	VERB
ejpam-6749	894	13	economic	economic	ADJ
ejpam-6749	894	14	status	status	NOUN
ejpam-6749	894	15	,	,	PUNCT
ejpam-6749	894	16	education	education	NOUN
ejpam-6749	894	17	,	,	PUNCT
ejpam-6749	894	18	and	and	CCONJ
ejpam-6749	894	19	social	social	ADJ
ejpam-6749	894	20	grievances	grievance	NOUN
ejpam-6749	894	21	.	.	PUNCT
ejpam-6749	895	1	furthermore	furthermore	ADV
ejpam-6749	895	2	,	,	PUNCT
ejpam-6749	895	3	the	the	DET
ejpam-6749	895	4	model	model	NOUN
ejpam-6749	895	5	does	do	AUX
ejpam-6749	895	6	not	not	PART
ejpam-6749	895	7	currently	currently	ADV
ejpam-6749	895	8	capture	capture	VERB
ejpam-6749	895	9	ideological	ideological	ADJ
ejpam-6749	895	10	heterogeneity	heterogeneity	NOUN
ejpam-6749	895	11	among	among	ADP
ejpam-6749	895	12	groups	group	NOUN
ejpam-6749	895	13	,	,	PUNCT
ejpam-6749	895	14	terrorist	terrorist	ADJ
ejpam-6749	895	15	mobility	mobility	NOUN
ejpam-6749	895	16	dynamics	dynamic	NOUN
ejpam-6749	895	17	,	,	PUNCT
ejpam-6749	895	18	or	or	CCONJ
ejpam-6749	895	19	the	the	DET
ejpam-6749	895	20	economic	economic	ADJ
ejpam-6749	895	21	feedback	feedback	NOUN
ejpam-6749	895	22	loops	loop	NOUN
ejpam-6749	895	23	that	that	PRON
ejpam-6749	895	24	influence	influence	NOUN
ejpam-6749	895	25	recruitment	recruitment	NOUN
ejpam-6749	895	26	.	.	PUNCT
ejpam-6749	896	1	future	future	ADJ
ejpam-6749	896	2	research	research	NOUN
ejpam-6749	896	3	will	will	AUX
ejpam-6749	896	4	address	address	VERB
ejpam-6749	896	5	these	these	DET
ejpam-6749	896	6	limitations	limitation	NOUN
ejpam-6749	896	7	by	by	ADP
ejpam-6749	896	8	incorporating	incorporate	VERB
ejpam-6749	896	9	additional	additional	ADJ
ejpam-6749	896	10	complexity	complexity	NOUN
ejpam-6749	896	11	including	include	VERB
ejpam-6749	896	12	:	:	PUNCT
ejpam-6749	896	13	(	(	PUNCT
ejpam-6749	896	14	1	1	X
ejpam-6749	896	15	)	)	PUNCT
ejpam-6749	896	16	population	population	NOUN
ejpam-6749	896	17	stratification	stratification	NOUN
ejpam-6749	896	18	based	base	VERB
ejpam-6749	896	19	on	on	ADP
ejpam-6749	896	20	socioeconomic	socioeconomic	ADJ
ejpam-6749	896	21	vulnerability	vulnerability	NOUN
ejpam-6749	896	22	;	;	PUNCT
ejpam-6749	896	23	(	(	PUNCT
ejpam-6749	896	24	2	2	X
ejpam-6749	896	25	)	)	PUNCT
ejpam-6749	896	26	ideological	ideological	ADJ
ejpam-6749	896	27	heterogeneity	heterogeneity	NOUN
ejpam-6749	896	28	among	among	ADP
ejpam-6749	896	29	terrorist	terrorist	ADJ
ejpam-6749	896	30	factions	faction	NOUN
ejpam-6749	896	31	;	;	PUNCT
ejpam-6749	896	32	(	(	PUNCT
ejpam-6749	896	33	3	3	X
ejpam-6749	896	34	)	)	PUNCT
ejpam-6749	896	35	terrorist	terrorist	ADJ
ejpam-6749	896	36	mobility	mobility	NOUN
ejpam-6749	896	37	dynamics	dynamic	NOUN
ejpam-6749	896	38	across	across	ADP
ejpam-6749	896	39	the	the	DET
ejpam-6749	896	40	region	region	NOUN
ejpam-6749	896	41	;	;	PUNCT
ejpam-6749	896	42	(	(	PUNCT
ejpam-6749	896	43	4	4	X
ejpam-6749	896	44	)	)	PUNCT
ejpam-6749	896	45	the	the	DET
ejpam-6749	896	46	feedback	feedback	NOUN
ejpam-6749	896	47	loop	loop	NOUN
ejpam-6749	896	48	between	between	ADP
ejpam-6749	896	49	recruitment	recruitment	NOUN
ejpam-6749	896	50	and	and	CCONJ
ejpam-6749	896	51	economic	economic	ADJ
ejpam-6749	896	52	development	development	NOUN
ejpam-6749	896	53	by	by	ADP
ejpam-6749	896	54	making	make	VERB
ejpam-6749	896	55	the	the	DET
ejpam-6749	896	56	recruitment	recruitment	NOUN
ejpam-6749	896	57	rate	rate	NOUN
ejpam-6749	896	58	λ	λ	PROPN
ejpam-6749	896	59	a	a	DET
ejpam-6749	896	60	function	function	NOUN
ejpam-6749	896	61	of	of	ADP
ejpam-6749	896	62	socio	socio	NOUN
ejpam-6749	896	63	-	-	PUNCT
ejpam-6749	896	64	economic	economic	ADJ
ejpam-6749	896	65	variables	variable	NOUN
ejpam-6749	896	66	;	;	PUNCT
ejpam-6749	896	67	and	and	CCONJ
ejpam-6749	896	68	(	(	PUNCT
ejpam-6749	896	69	5	5	X
ejpam-6749	896	70	)	)	PUNCT
ejpam-6749	896	71	the	the	DET
ejpam-6749	896	72	financial	financial	ADJ
ejpam-6749	896	73	structures	structure	NOUN
ejpam-6749	896	74	that	that	PRON
ejpam-6749	896	75	support	support	VERB
ejpam-6749	896	76	terrorism	terrorism	NOUN
ejpam-6749	896	77	,	,	PUNCT
ejpam-6749	896	78	such	such	ADJ
ejpam-6749	896	79	as	as	ADP
ejpam-6749	896	80	the	the	DET
ejpam-6749	896	81	seizure	seizure	NOUN
ejpam-6749	896	82	of	of	ADP
ejpam-6749	896	83	artisanal	artisanal	ADJ
ejpam-6749	896	84	gold	gold	NOUN
ejpam-6749	896	85	mines	mine	NOUN
ejpam-6749	896	86	referenced	reference	VERB
ejpam-6749	896	87	in	in	ADP
ejpam-6749	896	88	the	the	DET
ejpam-6749	896	89	introduction	introduction	NOUN
ejpam-6749	896	90	,	,	PUNCT
ejpam-6749	896	91	to	to	PART
ejpam-6749	896	92	understand	understand	VERB
ejpam-6749	896	93	how	how	SCONJ
ejpam-6749	896	94	resource	resource	NOUN
ejpam-6749	896	95	acquisition	acquisition	NOUN
ejpam-6749	896	96	alters	alter	VERB
ejpam-6749	896	97	dynamics	dynamic	NOUN
ejpam-6749	896	98	and	and	CCONJ
ejpam-6749	896	99	counter	counter	NOUN
ejpam-6749	896	100	-	-	NOUN
ejpam-6749	896	101	terrorism	terrorism	ADJ
ejpam-6749	896	102	efficacy	efficacy	NOUN
ejpam-6749	896	103	.	.	PUNCT
ejpam-6749	897	1	these	these	DET
ejpam-6749	897	2	extensions	extension	NOUN
ejpam-6749	897	3	will	will	AUX
ejpam-6749	897	4	enhance	enhance	VERB
ejpam-6749	897	5	model	model	NOUN
ejpam-6749	897	6	realism	realism	NOUN
ejpam-6749	897	7	while	while	SCONJ
ejpam-6749	897	8	building	build	VERB
ejpam-6749	897	9	upon	upon	SCONJ
ejpam-6749	897	10	the	the	DET
ejpam-6749	897	11	mathematical	mathematical	ADJ
ejpam-6749	897	12	foundation	foundation	NOUN
ejpam-6749	897	13	established	establish	VERB
ejpam-6749	897	14	here	here	ADV
ejpam-6749	897	15	,	,	PUNCT
ejpam-6749	897	16	particularly	particularly	ADV
ejpam-6749	897	17	through	through	ADP
ejpam-6749	897	18	the	the	DET
ejpam-6749	897	19	development	development	NOUN
ejpam-6749	897	20	of	of	ADP
ejpam-6749	897	21	stochastic	stochastic	ADJ
ejpam-6749	897	22	frameworks	framework	NOUN
ejpam-6749	897	23	that	that	PRON
ejpam-6749	897	24	can	can	AUX
ejpam-6749	897	25	capture	capture	VERB
ejpam-6749	897	26	uncertainty	uncertainty	NOUN
ejpam-6749	897	27	in	in	ADP
ejpam-6749	897	28	intervention	intervention	NOUN
ejpam-6749	897	29	outcomes	outcome	NOUN
ejpam-6749	897	30	and	and	CCONJ
ejpam-6749	897	31	environmental	environmental	ADJ
ejpam-6749	897	32	variability	variability	NOUN
ejpam-6749	897	33	affecting	affect	VERB
ejpam-6749	897	34	terrorism	terrorism	NOUN
ejpam-6749	897	35	dynamics	dynamic	NOUN
ejpam-6749	897	36	across	across	ADP
ejpam-6749	897	37	the	the	DET
ejpam-6749	897	38	central	central	ADJ
ejpam-6749	897	39	sahel	sahel	PROPN
ejpam-6749	897	40	region	region	NOUN
ejpam-6749	897	41	.	.	PUNCT
ejpam-6749	898	1	acknowledgements	acknowledgement	NOUN
ejpam-6749	898	2	the	the	DET
ejpam-6749	898	3	manuscript	manuscript	NOUN
ejpam-6749	898	4	is	be	AUX
ejpam-6749	898	5	[	[	X
ejpam-6749	898	6	91	91	NUM
ejpam-6749	898	7	]	]	X
ejpam-6749	898	8	co	co	VERB
ejpam-6749	898	9	-	-	VERB
ejpam-6749	898	10	authored	author	VERB
ejpam-6749	898	11	with	with	ADP
ejpam-6749	898	12	prof	prof	PROPN
ejpam-6749	898	13	.	.	PUNCT
ejpam-6749	899	1	dial	dial	PROPN
ejpam-6749	899	2	niang	niang	PROPN
ejpam-6749	899	3	,	,	PUNCT
ejpam-6749	899	4	who	who	PRON
ejpam-6749	899	5	unfortunately	unfortunately	ADV
ejpam-6749	899	6	passed	pass	VERB
ejpam-6749	899	7	away	away	ADV
ejpam-6749	899	8	before	before	ADP
ejpam-6749	899	9	the	the	DET
ejpam-6749	899	10	submission	submission	NOUN
ejpam-6749	899	11	to	to	ADP
ejpam-6749	899	12	the	the	DET
ejpam-6749	899	13	journal	journal	NOUN
ejpam-6749	899	14	.	.	PUNCT
ejpam-6749	900	1	special	special	ADJ
ejpam-6749	900	2	thoughts	thought	NOUN
ejpam-6749	900	3	to	to	ADP
ejpam-6749	900	4	all	all	DET
ejpam-6749	900	5	the	the	DET
ejpam-6749	900	6	fighting	fighting	NOUN
ejpam-6749	900	7	forces	force	NOUN
ejpam-6749	900	8	who	who	PRON
ejpam-6749	900	9	are	be	AUX
ejpam-6749	900	10	battling	battle	VERB
ejpam-6749	900	11	to	to	PART
ejpam-6749	900	12	restore	restore	VERB
ejpam-6749	900	13	peace	peace	NOUN
ejpam-6749	900	14	and	and	CCONJ
ejpam-6749	900	15	security	security	NOUN
ejpam-6749	900	16	in	in	ADP
ejpam-6749	900	17	the	the	DET
ejpam-6749	900	18	central	central	ADJ
ejpam-6749	900	19	sahel	sahel	PROPN
ejpam-6749	900	20	.	.	PUNCT
ejpam-6749	901	1	references	reference	NOUN
ejpam-6749	901	2	[	[	X
ejpam-6749	901	3	1	1	NUM
ejpam-6749	901	4	]	]	PUNCT
ejpam-6749	901	5	m.	m.	NOUN
ejpam-6749	901	6	mercan	mercan	PROPN
ejpam-6749	901	7	.	.	PUNCT
ejpam-6749	902	1	terrorism	terrorism	NOUN
ejpam-6749	902	2	:	:	PUNCT
ejpam-6749	902	3	a	a	DET
ejpam-6749	902	4	threat	threat	NOUN
ejpam-6749	902	5	to	to	ADP
ejpam-6749	902	6	democracies	democracy	NOUN
ejpam-6749	902	7	,	,	PUNCT
ejpam-6749	902	8	2004	2004	NUM
ejpam-6749	902	9	.	.	PUNCT
ejpam-6749	902	10	visited	visit	VERB
ejpam-6749	902	11	24/09/2022	24/09/2022	NUM
ejpam-6749	902	12	.	.	PUNCT
ejpam-6749	903	1	[	[	X
ejpam-6749	903	2	2	2	NUM
ejpam-6749	903	3	]	]	PUNCT
ejpam-6749	903	4	institute	institute	NOUN
ejpam-6749	903	5	for	for	ADP
ejpam-6749	903	6	economics	economic	NOUN
ejpam-6749	903	7	&	&	CCONJ
ejpam-6749	903	8	peace	peace	NOUN
ejpam-6749	903	9	.	.	PUNCT
ejpam-6749	904	1	global	global	ADJ
ejpam-6749	904	2	terrorism	terrorism	NOUN
ejpam-6749	904	3	index	index	NOUN
ejpam-6749	904	4	2022	2022	NUM
ejpam-6749	904	5	:	:	PUNCT
ejpam-6749	904	6	measuring	measure	VERB
ejpam-6749	904	7	the	the	DET
ejpam-6749	904	8	impact	impact	NOUN
ejpam-6749	904	9	of	of	ADP
ejpam-6749	904	10	terrorism	terrorism	NOUN
ejpam-6749	904	11	.	.	PUNCT
ejpam-6749	905	1	technical	technical	ADJ
ejpam-6749	905	2	report	report	PROPN
ejpam-6749	905	3	,	,	PUNCT
ejpam-6749	905	4	sydney	sydney	PROPN
ejpam-6749	905	5	,	,	PUNCT
ejpam-6749	905	6	2022	2022	NUM
ejpam-6749	905	7	.	.	PUNCT
ejpam-6749	905	8	accessed	access	VERB
ejpam-6749	905	9	24/09/2022	24/09/2022	NOUN
ejpam-6749	905	10	.	.	PUNCT
ejpam-6749	906	1	[	[	X
ejpam-6749	906	2	3	3	NUM
ejpam-6749	906	3	]	]	X
ejpam-6749	906	4	f.	f.	PROPN
ejpam-6749	906	5	ramel	ramel	PROPN
ejpam-6749	906	6	.	.	PUNCT
ejpam-6749	907	1	au	au	PROPN
ejpam-6749	907	2	sahel	sahel	PROPN
ejpam-6749	907	3	,	,	PUNCT
ejpam-6749	907	4	le	le	X
ejpam-6749	907	5	conflit	conflit	PROPN
ejpam-6749	907	6	armé	armé	PROPN
ejpam-6749	907	7	n’est	n’est	ADV
ejpam-6749	907	8	pas	pas	VERB
ejpam-6749	907	9	de	de	ADP
ejpam-6749	907	10	même	même	PROPN
ejpam-6749	907	11	nature	nature	NOUN
ejpam-6749	907	12	qu’en	qu’en	PROPN
ejpam-6749	907	13	afghanistan	afghanistan	PROPN
ejpam-6749	907	14	,	,	PUNCT
ejpam-6749	907	15	2013	2013	NUM
ejpam-6749	907	16	.	.	PUNCT
ejpam-6749	908	1	accessed	access	VERB
ejpam-6749	908	2	11/06/2022	11/06/2022	NOUN
ejpam-6749	908	3	.	.	PUNCT
ejpam-6749	909	1	[	[	X
ejpam-6749	909	2	4	4	X
ejpam-6749	909	3	]	]	PUNCT
ejpam-6749	909	4	t.	t.	PROPN
ejpam-6749	909	5	hofnung	hofnung	PROPN
ejpam-6749	909	6	.	.	PUNCT
ejpam-6749	910	1	le	le	PROPN
ejpam-6749	910	2	conflit	conflit	PROPN
ejpam-6749	910	3	au	au	PROPN
ejpam-6749	910	4	sahel	sahel	PROPN
ejpam-6749	910	5	,	,	PUNCT
ejpam-6749	910	6	passage	passage	NOUN
ejpam-6749	910	7	obligé	obligé	X
ejpam-6749	910	8	pour	pour	PROPN
ejpam-6749	910	9	l’europe	l’europe	PROPN
ejpam-6749	910	10	de	de	X
ejpam-6749	910	11	la	la	X
ejpam-6749	910	12	défense	défense	PROPN
ejpam-6749	910	13	,	,	PUNCT
ejpam-6749	910	14	2012	2012	NUM
ejpam-6749	910	15	.	.	PUNCT
ejpam-6749	911	1	accessed	access	VERB
ejpam-6749	911	2	11/06/2022	11/06/2022	NOUN
ejpam-6749	911	3	.	.	PUNCT
ejpam-6749	912	1	[	[	X
ejpam-6749	912	2	5	5	X
ejpam-6749	912	3	]	]	PUNCT
ejpam-6749	912	4	t.	t.	NOUN
ejpam-6749	912	5	berthemet	berthemet	PROPN
ejpam-6749	912	6	.	.	PUNCT
ejpam-6749	913	1	le	le	PROPN
ejpam-6749	913	2	burkina	burkina	PROPN
ejpam-6749	913	3	,	,	PUNCT
ejpam-6749	913	4	nouvelle	nouvelle	PROPN
ejpam-6749	913	5	terre	terre	X
ejpam-6749	913	6	de	de	X
ejpam-6749	913	7	l’insurrection	l’insurrection	NOUN
ejpam-6749	913	8	islamiste	islamiste	NOUN
ejpam-6749	913	9	,	,	PUNCT
ejpam-6749	913	10	2017	2017	NUM
ejpam-6749	913	11	.	.	PUNCT
ejpam-6749	913	12	accessed	access	VERB
ejpam-6749	913	13	11/06/2022	11/06/2022	NOUN
ejpam-6749	913	14	.	.	PUNCT
ejpam-6749	914	1	[	[	X
ejpam-6749	914	2	6	6	NUM
ejpam-6749	914	3	]	]	PUNCT
ejpam-6749	914	4	v.	v.	X
ejpam-6749	914	5	bisson	bisson	PROPN
ejpam-6749	914	6	.	.	PUNCT
ejpam-6749	915	1	la	la	PROPN
ejpam-6749	915	2	vraie	vraie	PROPN
ejpam-6749	915	3	guerre	guerre	PROPN
ejpam-6749	915	4	du	du	PROPN
ejpam-6749	915	5	sahel	sahel	PROPN
ejpam-6749	915	6	se	se	PROPN
ejpam-6749	915	7	jouera	jouera	PROPN
ejpam-6749	915	8	hors	hor	NOUN
ejpam-6749	915	9	du	du	PROPN
ejpam-6749	915	10	mali	mali	PROPN
ejpam-6749	915	11	,	,	PUNCT
ejpam-6749	915	12	2013	2013	NUM
ejpam-6749	915	13	.	.	PUNCT
ejpam-6749	916	1	visited	visit	VERB
ejpam-6749	916	2	11/06/2022	11/06/2022	NUM
ejpam-6749	916	3	.	.	PUNCT
ejpam-6749	917	1	[	[	X
ejpam-6749	917	2	7	7	X
ejpam-6749	917	3	]	]	X
ejpam-6749	917	4	p.	p.	NOUN
ejpam-6749	917	5	haski	haski	NOUN
ejpam-6749	917	6	.	.	PUNCT
ejpam-6749	918	1	les	le	NOUN
ejpam-6749	918	2	otages	otage	NOUN
ejpam-6749	918	3	français	français	PROPN
ejpam-6749	918	4	et	et	NOUN
ejpam-6749	918	5	africains	africain	NOUN
ejpam-6749	918	6	dans	dans	PROPN
ejpam-6749	918	7	la	la	PROPN
ejpam-6749	918	8	sale	sale	PROPN
ejpam-6749	918	9	guerre	guerre	PROPN
ejpam-6749	918	10	du	du	PROPN
ejpam-6749	918	11	sahel	sahel	PROPN
ejpam-6749	918	12	,	,	PUNCT
ejpam-6749	918	13	2010	2010	NUM
ejpam-6749	918	14	.	.	PUNCT
ejpam-6749	919	1	accessed	access	VERB
ejpam-6749	919	2	11/06/2022	11/06/2022	NOUN
ejpam-6749	919	3	.	.	PUNCT
ejpam-6749	920	1	[	[	X
ejpam-6749	920	2	8	8	NUM
ejpam-6749	920	3	]	]	PUNCT
ejpam-6749	920	4	a.	a.	NOUN
ejpam-6749	920	5	m.	m.	NOUN
ejpam-6749	920	6	ad	ad	NOUN
ejpam-6749	920	7	.	.	PUNCT
ejpam-6749	921	1	meddi	meddi	PROPN
ejpam-6749	921	2	and	and	CCONJ
ejpam-6749	921	3	m.	m.	PROPN
ejpam-6749	921	4	mel	mel	PROPN
ejpam-6749	921	5	.	.	PUNCT
ejpam-6749	922	1	algérie	algérie	PROPN
ejpam-6749	922	2	.	.	PUNCT
ejpam-6749	923	1	la	la	PROPN
ejpam-6749	923	2	guerre	guerre	PROPN
ejpam-6749	923	3	du	du	PROPN
ejpam-6749	923	4	sahel	sahel	PROPN
ejpam-6749	923	5	n’est	n’est	PROPN
ejpam-6749	923	6	pas	pas	PROPN
ejpam-6749	923	7	finie	finie	PROPN
ejpam-6749	923	8	,	,	PUNCT
ejpam-6749	923	9	2013	2013	NUM
ejpam-6749	923	10	.	.	PUNCT
ejpam-6749	923	11	visited	visit	VERB
ejpam-6749	923	12	11/06/2022	11/06/2022	NUM
ejpam-6749	923	13	.	.	PUNCT
ejpam-6749	924	1	[	[	X
ejpam-6749	924	2	9	9	NUM
ejpam-6749	924	3	]	]	PUNCT
ejpam-6749	924	4	m.	m.	NOUN
ejpam-6749	924	5	zerrouky	zerrouky	NOUN
ejpam-6749	924	6	.	.	PUNCT
ejpam-6749	924	7	l’empreinte	l’empreinte	NOUN
ejpam-6749	924	8	durable	durable	ADJ
ejpam-6749	924	9	d’al	d’al	PROPN
ejpam-6749	924	10	-	-	PUNCT
ejpam-6749	924	11	qaida	qaida	PROPN
ejpam-6749	924	12	au	au	PROPN
ejpam-6749	924	13	sahel	sahel	PROPN
ejpam-6749	924	14	,	,	PUNCT
ejpam-6749	924	15	2017	2017	NUM
ejpam-6749	924	16	.	.	PUNCT
ejpam-6749	925	1	accessed	access	VERB
ejpam-6749	925	2	11/06/2022	11/06/2022	NOUN
ejpam-6749	925	3	.	.	PUNCT
ejpam-6749	926	1	[	[	X
ejpam-6749	926	2	10	10	NUM
ejpam-6749	926	3	]	]	X
ejpam-6749	926	4	y.	y.	NOUN
ejpam-6749	926	5	trotignon	trotignon	PROPN
ejpam-6749	926	6	.	.	PUNCT
ejpam-6749	927	1	le	le	PROPN
ejpam-6749	927	2	sahel	sahel	PROPN
ejpam-6749	927	3	,	,	PUNCT
ejpam-6749	927	4	laboratoire	laboratoire	PROPN
ejpam-6749	927	5	d’un	d’un	PROPN
ejpam-6749	927	6	échec	échec	PROPN
ejpam-6749	927	7	contre	contre	NOUN
ejpam-6749	927	8	le	le	X
ejpam-6749	927	9	djihadisme	djihadisme	PROPN
ejpam-6749	927	10	,	,	PUNCT
ejpam-6749	927	11	2017	2017	NUM
ejpam-6749	927	12	.	.	PUNCT
ejpam-6749	928	1	accessed	access	VERB
ejpam-6749	928	2	11/06/2022	11/06/2022	NOUN
ejpam-6749	928	3	.	.	PUNCT
ejpam-6749	929	1	m.	m.	NOUN
ejpam-6749	929	2	zorom	zorom	NOUN
ejpam-6749	929	3	et	et	PROPN
ejpam-6749	929	4	al	al	PROPN
ejpam-6749	929	5	.	.	PUNCT
ejpam-6749	929	6	/	/	SYM
ejpam-6749	929	7	eur	eur	PROPN
ejpam-6749	929	8	.	.	PUNCT
ejpam-6749	930	1	j.	j.	PROPN
ejpam-6749	930	2	pure	pure	PROPN
ejpam-6749	930	3	appl	appl	PROPN
ejpam-6749	930	4	.	.	PROPN
ejpam-6749	930	5	math	math	PROPN
ejpam-6749	930	6	,	,	PUNCT
ejpam-6749	930	7	18	18	NUM
ejpam-6749	930	8	(	(	PUNCT
ejpam-6749	930	9	4	4	NUM
ejpam-6749	930	10	)	)	PUNCT
ejpam-6749	930	11	(	(	PUNCT
ejpam-6749	930	12	2025	2025	NUM
ejpam-6749	930	13	)	)	PUNCT
ejpam-6749	930	14	,	,	PUNCT
ejpam-6749	930	15	6749	6749	NUM
ejpam-6749	930	16	42	42	NUM
ejpam-6749	930	17	of	of	ADP
ejpam-6749	930	18	47	47	NUM
ejpam-6749	931	1	[	[	X
ejpam-6749	931	2	11	11	NUM
ejpam-6749	931	3	]	]	X
ejpam-6749	931	4	d.	d.	PROPN
ejpam-6749	931	5	eizenga	eizenga	ADV
ejpam-6749	931	6	and	and	CCONJ
ejpam-6749	931	7	w.	w.	PROPN
ejpam-6749	931	8	wendy	wendy	PROPN
ejpam-6749	931	9	.	.	PUNCT
ejpam-6749	932	1	the	the	DET
ejpam-6749	932	2	puzzle	puzzle	NOUN
ejpam-6749	932	3	of	of	ADP
ejpam-6749	932	4	jnim	jnim	NOUN
ejpam-6749	932	5	and	and	CCONJ
ejpam-6749	932	6	militant	militant	ADJ
ejpam-6749	932	7	islamist	islamist	ADJ
ejpam-6749	932	8	groups	group	NOUN
ejpam-6749	932	9	in	in	ADP
ejpam-6749	932	10	the	the	DET
ejpam-6749	932	11	sahel	sahel	PROPN
ejpam-6749	932	12	,	,	PUNCT
ejpam-6749	932	13	2020	2020	NUM
ejpam-6749	932	14	.	.	PUNCT
ejpam-6749	933	1	visited	visit	VERB
ejpam-6749	933	2	20/07/2022	20/07/2022	NUM
ejpam-6749	933	3	.	.	PUNCT
ejpam-6749	934	1	[	[	X
ejpam-6749	934	2	12	12	NUM
ejpam-6749	934	3	]	]	PUNCT
ejpam-6749	934	4	reuters	reuter	NOUN
ejpam-6749	934	5	.	.	PUNCT
ejpam-6749	935	1	france	france	PROPN
ejpam-6749	935	2	says	say	VERB
ejpam-6749	935	3	kills	kills	PROPN
ejpam-6749	935	4	al	al	PROPN
ejpam-6749	935	5	qaeda	qaeda	PROPN
ejpam-6749	935	6	’s	’s	PART
ejpam-6749	935	7	north	north	PROPN
ejpam-6749	935	8	africa	africa	PROPN
ejpam-6749	935	9	chief	chief	PROPN
ejpam-6749	935	10	in	in	ADP
ejpam-6749	935	11	mali	mali	PROPN
ejpam-6749	935	12	operation	operation	NOUN
ejpam-6749	935	13	,	,	PUNCT
ejpam-6749	935	14	2020	2020	NUM
ejpam-6749	935	15	.	.	PUNCT
ejpam-6749	936	1	visited	visit	VERB
ejpam-6749	936	2	03/07/2025	03/07/2025	NUM
ejpam-6749	936	3	.	.	PUNCT
ejpam-6749	937	1	[	[	X
ejpam-6749	937	2	13	13	NUM
ejpam-6749	937	3	]	]	X
ejpam-6749	937	4	g5	g5	PROPN
ejpam-6749	937	5	sahel	sahel	PROPN
ejpam-6749	937	6	secretariat	secretariat	PROPN
ejpam-6749	937	7	.	.	PUNCT
ejpam-6749	938	1	annual	annual	ADJ
ejpam-6749	938	2	report	report	NOUN
ejpam-6749	938	3	2020	2020	NUM
ejpam-6749	938	4	,	,	PUNCT
ejpam-6749	938	5	2020	2020	NUM
ejpam-6749	938	6	.	.	PUNCT
ejpam-6749	939	1	[	[	X
ejpam-6749	939	2	14	14	NUM
ejpam-6749	939	3	]	]	PUNCT
ejpam-6749	939	4	acled	acle	VERB
ejpam-6749	939	5	.	.	PUNCT
ejpam-6749	940	1	annual	annual	ADJ
ejpam-6749	940	2	report	report	NOUN
ejpam-6749	940	3	:	:	PUNCT
ejpam-6749	940	4	regional	regional	ADJ
ejpam-6749	940	5	overview	overview	NOUN
ejpam-6749	940	6	africa	africa	PROPN
ejpam-6749	940	7	2020	2020	NUM
ejpam-6749	940	8	,	,	PUNCT
ejpam-6749	940	9	the	the	DET
ejpam-6749	940	10	year	year	NOUN
ejpam-6749	940	11	in	in	ADP
ejpam-6749	940	12	review	review	NOUN
ejpam-6749	940	13	,	,	PUNCT
ejpam-6749	940	14	2020	2020	NUM
ejpam-6749	940	15	.	.	PUNCT
ejpam-6749	941	1	[	[	X
ejpam-6749	941	2	15	15	NUM
ejpam-6749	941	3	]	]	PUNCT
ejpam-6749	941	4	acled	acle	VERB
ejpam-6749	941	5	.	.	PUNCT
ejpam-6749	942	1	burkina	burkina	PROPN
ejpam-6749	942	2	faso	faso	PROPN
ejpam-6749	942	3	:	:	PUNCT
ejpam-6749	942	4	conflict	conflict	NOUN
ejpam-6749	942	5	trends	trend	NOUN
ejpam-6749	942	6	2020	2020	NUM
ejpam-6749	942	7	update	update	NOUN
ejpam-6749	942	8	,	,	PUNCT
ejpam-6749	942	9	2020	2020	NUM
ejpam-6749	942	10	.	.	PUNCT
ejpam-6749	943	1	[	[	X
ejpam-6749	943	2	16	16	NUM
ejpam-6749	943	3	]	]	X
ejpam-6749	943	4	unicef	unicef	PROPN
ejpam-6749	943	5	.	.	PUNCT
ejpam-6749	944	1	education	education	NOUN
ejpam-6749	944	2	under	under	ADP
ejpam-6749	944	3	threat	threat	NOUN
ejpam-6749	944	4	in	in	ADP
ejpam-6749	944	5	west	west	NOUN
ejpam-6749	944	6	and	and	CCONJ
ejpam-6749	944	7	central	central	ADJ
ejpam-6749	944	8	africa2020	africa2020	PROPN
ejpam-6749	944	9	,	,	PUNCT
ejpam-6749	944	10	conflict	conflict	NOUN
ejpam-6749	944	11	is	be	AUX
ejpam-6749	944	12	taking	take	VERB
ejpam-6749	944	13	a	a	DET
ejpam-6749	944	14	devastating	devastating	ADJ
ejpam-6749	944	15	toll	toll	NOUN
ejpam-6749	944	16	on	on	ADP
ejpam-6749	944	17	education	education	NOUN
ejpam-6749	944	18	.	.	PUNCT
ejpam-6749	945	1	this	this	PRON
ejpam-6749	945	2	must	must	AUX
ejpam-6749	945	3	not	not	PART
ejpam-6749	945	4	become	become	VERB
ejpam-6749	945	5	a	a	DET
ejpam-6749	945	6	forgotten	forget	VERB
ejpam-6749	945	7	crisis	crisis	NOUN
ejpam-6749	945	8	,	,	PUNCT
ejpam-6749	945	9	2020	2020	NUM
ejpam-6749	945	10	.	.	PUNCT
ejpam-6749	946	1	[	[	X
ejpam-6749	946	2	17	17	NUM
ejpam-6749	946	3	]	]	X
ejpam-6749	946	4	unhcr	unhcr	PROPN
ejpam-6749	946	5	.	.	PUNCT
ejpam-6749	947	1	sahel	sahel	PROPN
ejpam-6749	947	2	situation	situation	PROPN
ejpam-6749	947	3	:	:	PUNCT
ejpam-6749	947	4	operational	operational	ADJ
ejpam-6749	947	5	update	update	NOUN
ejpam-6749	947	6	december	december	PROPN
ejpam-6749	947	7	2020	2020	NUM
ejpam-6749	947	8	,	,	PUNCT
ejpam-6749	947	9	2020	2020	NUM
ejpam-6749	947	10	.	.	PUNCT
ejpam-6749	948	1	[	[	X
ejpam-6749	948	2	18	18	NUM
ejpam-6749	948	3	]	]	X
ejpam-6749	948	4	b.	b.	PROPN
ejpam-6749	948	5	haidara	haidara	PROPN
ejpam-6749	948	6	.	.	PUNCT
ejpam-6749	949	1	the	the	DET
ejpam-6749	949	2	spread	spread	NOUN
ejpam-6749	949	3	of	of	ADP
ejpam-6749	949	4	jihadism	jihadism	NOUN
ejpam-6749	949	5	in	in	ADP
ejpam-6749	949	6	the	the	DET
ejpam-6749	949	7	sahel	sahel	PROPN
ejpam-6749	949	8	.	.	PUNCT
ejpam-6749	950	1	part	part	NOUN
ejpam-6749	950	2	2	2	NUM
ejpam-6749	950	3	.	.	PROPN
ejpam-6749	950	4	außen	außen	PROPN
ejpam-6749	950	5	sicherheitspolit	sicherheitspolit	PROPN
ejpam-6749	950	6	,	,	PUNCT
ejpam-6749	950	7	17:27–38	17:27–38	NUM
ejpam-6749	950	8	,	,	PUNCT
ejpam-6749	950	9	2024	2024	NUM
ejpam-6749	950	10	.	.	PUNCT
ejpam-6749	951	1	[	[	X
ejpam-6749	951	2	19	19	NUM
ejpam-6749	951	3	]	]	X
ejpam-6749	951	4	armed	armed	ADJ
ejpam-6749	951	5	conflict	conflict	NOUN
ejpam-6749	951	6	location	location	NOUN
ejpam-6749	951	7	&	&	CCONJ
ejpam-6749	951	8	event	event	PROPN
ejpam-6749	951	9	data	datum	NOUN
ejpam-6749	951	10	project	project	NOUN
ejpam-6749	951	11	(	(	PUNCT
ejpam-6749	951	12	acled	acle	VERB
ejpam-6749	951	13	)	)	PUNCT
ejpam-6749	951	14	,	,	PUNCT
ejpam-6749	951	15	2022	2022	NUM
ejpam-6749	951	16	.	.	PUNCT
ejpam-6749	952	1	[	[	X
ejpam-6749	952	2	20	20	NUM
ejpam-6749	952	3	]	]	X
ejpam-6749	952	4	international	international	ADJ
ejpam-6749	952	5	crisis	crisis	NOUN
ejpam-6749	952	6	group	group	NOUN
ejpam-6749	952	7	.	.	PUNCT
ejpam-6749	953	1	reprendre	reprendre	PROPN
ejpam-6749	953	2	en	en	PROPN
ejpam-6749	953	3	main	main	PROPN
ejpam-6749	953	4	la	la	PROPN
ejpam-6749	953	5	ruée	ruée	PROPN
ejpam-6749	953	6	vers	ver	NOUN
ejpam-6749	953	7	l’or	l’or	PROPN
ejpam-6749	953	8	au	au	PROPN
ejpam-6749	953	9	sahel	sahel	PROPN
ejpam-6749	953	10	central	central	PROPN
ejpam-6749	953	11	,	,	PUNCT
ejpam-6749	953	12	2019	2019	NUM
ejpam-6749	953	13	.	.	PUNCT
ejpam-6749	953	14	accessed	access	VERB
ejpam-6749	953	15	11/06/2022	11/06/2022	NUM
ejpam-6749	953	16	17/10/2022	17/10/2022	NOUN
ejpam-6749	953	17	.	.	PUNCT
ejpam-6749	954	1	[	[	X
ejpam-6749	954	2	21	21	NUM
ejpam-6749	954	3	]	]	X
ejpam-6749	954	4	r.	r.	PROPN
ejpam-6749	954	5	m.	m.	PROPN
ejpam-6749	954	6	anderson	anderson	PROPN
ejpam-6749	954	7	and	and	CCONJ
ejpam-6749	954	8	r.	r.	PROPN
ejpam-6749	954	9	m.	m.	PROPN
ejpam-6749	954	10	may	may	AUX
ejpam-6749	954	11	.	.	PUNCT
ejpam-6749	955	1	infectious	infectious	ADJ
ejpam-6749	955	2	diseases	disease	NOUN
ejpam-6749	955	3	of	of	ADP
ejpam-6749	955	4	humans	human	NOUN
ejpam-6749	955	5	:	:	PUNCT
ejpam-6749	955	6	dynamics	dynamic	NOUN
ejpam-6749	955	7	and	and	CCONJ
ejpam-6749	955	8	control	control	NOUN
ejpam-6749	955	9	.	.	PUNCT
ejpam-6749	956	1	oxford	oxford	PROPN
ejpam-6749	956	2	university	university	PROPN
ejpam-6749	956	3	press	press	NOUN
ejpam-6749	956	4	,	,	PUNCT
ejpam-6749	956	5	1991	1991	NUM
ejpam-6749	956	6	.	.	PUNCT
ejpam-6749	957	1	[	[	X
ejpam-6749	957	2	22	22	NUM
ejpam-6749	957	3	]	]	X
ejpam-6749	957	4	c.r	c.r	PROPN
ejpam-6749	957	5	.	.	PROPN
ejpam-6749	957	6	lucatero	lucatero	PROPN
ejpam-6749	957	7	.	.	PUNCT
ejpam-6749	958	1	analysis	analysis	NOUN
ejpam-6749	958	2	of	of	ADP
ejpam-6749	958	3	epidemic	epidemic	NOUN
ejpam-6749	958	4	models	model	NOUN
ejpam-6749	958	5	in	in	ADP
ejpam-6749	958	6	complex	complex	ADJ
ejpam-6749	958	7	networks	network	NOUN
ejpam-6749	958	8	and	and	CCONJ
ejpam-6749	958	9	node	node	NOUN
ejpam-6749	958	10	isolation	isolation	NOUN
ejpam-6749	958	11	strategie	strategie	NOUN
ejpam-6749	958	12	proposal	proposal	NOUN
ejpam-6749	958	13	for	for	ADP
ejpam-6749	958	14	reducing	reduce	VERB
ejpam-6749	958	15	virus	virus	NOUN
ejpam-6749	958	16	propagation	propagation	NOUN
ejpam-6749	958	17	.	.	PUNCT
ejpam-6749	959	1	axioms	axiom	NOUN
ejpam-6749	959	2	,	,	PUNCT
ejpam-6749	959	3	13(2):79	13(2):79	NUM
ejpam-6749	959	4	,	,	PUNCT
ejpam-6749	959	5	2024	2024	NUM
ejpam-6749	959	6	.	.	PUNCT
ejpam-6749	960	1	[	[	X
ejpam-6749	960	2	23	23	NUM
ejpam-6749	960	3	]	]	X
ejpam-6749	960	4	r.k	r.k	PROPN
ejpam-6749	960	5	.	.	PROPN
ejpam-6749	960	6	naji	naji	PROPN
ejpam-6749	960	7	and	and	CCONJ
ejpam-6749	960	8	a.a	a.a	PROPN
ejpam-6749	960	9	.	.	PROPN
ejpam-6749	960	10	thirthar	thirthar	PROPN
ejpam-6749	960	11	.	.	PUNCT
ejpam-6749	961	1	stability	stability	NOUN
ejpam-6749	961	2	and	and	CCONJ
ejpam-6749	961	3	bifurcation	bifurcation	NOUN
ejpam-6749	961	4	of	of	ADP
ejpam-6749	961	5	an	an	DET
ejpam-6749	961	6	sis	sis	NOUN
ejpam-6749	961	7	epidemic	epidemic	NOUN
ejpam-6749	961	8	model	model	NOUN
ejpam-6749	961	9	with	with	ADP
ejpam-6749	961	10	saturated	saturate	VERB
ejpam-6749	961	11	incidence	incidence	NOUN
ejpam-6749	961	12	rate	rate	NOUN
ejpam-6749	961	13	and	and	CCONJ
ejpam-6749	961	14	treatment	treatment	NOUN
ejpam-6749	961	15	function	function	NOUN
ejpam-6749	961	16	.	.	PUNCT
ejpam-6749	962	1	iranian	iranian	ADJ
ejpam-6749	962	2	journal	journal	PROPN
ejpam-6749	962	3	of	of	ADP
ejpam-6749	962	4	mathematical	mathematical	ADJ
ejpam-6749	962	5	sciences	sciences	PROPN
ejpam-6749	962	6	and	and	CCONJ
ejpam-6749	962	7	informatics	informatic	NOUN
ejpam-6749	962	8	,	,	PUNCT
ejpam-6749	962	9	15(2):129–146	15(2):129–146	PROPN
ejpam-6749	962	10	,	,	PUNCT
ejpam-6749	962	11	2020	2020	NUM
ejpam-6749	962	12	.	.	PUNCT
ejpam-6749	963	1	[	[	X
ejpam-6749	963	2	24	24	NUM
ejpam-6749	963	3	]	]	SYM
ejpam-6749	963	4	a.a	a.a	PROPN
ejpam-6749	963	5	.	.	PROPN
ejpam-6749	963	6	thirthar	thirthar	PROPN
ejpam-6749	963	7	,	,	PUNCT
ejpam-6749	963	8	r.k	r.k	PROPN
ejpam-6749	963	9	.	.	PROPN
ejpam-6749	963	10	naji	naji	PROPN
ejpam-6749	963	11	,	,	PUNCT
ejpam-6749	963	12	f.	f.	PROPN
ejpam-6749	963	13	bozkurt	bozkurt	PROPN
ejpam-6749	963	14	,	,	PUNCT
ejpam-6749	963	15	and	and	CCONJ
ejpam-6749	963	16	a.	a.	PROPN
ejpam-6749	963	17	yousef	yousef	PROPN
ejpam-6749	963	18	.	.	PUNCT
ejpam-6749	964	1	modeling	modeling	NOUN
ejpam-6749	964	2	and	and	CCONJ
ejpam-6749	964	3	analysis	analysis	NOUN
ejpam-6749	964	4	of	of	ADP
ejpam-6749	964	5	an	an	DET
ejpam-6749	964	6	si1i2r	si1i2r	PROPN
ejpam-6749	964	7	epidemic	epidemic	NOUN
ejpam-6749	964	8	model	model	NOUN
ejpam-6749	964	9	with	with	ADP
ejpam-6749	964	10	nonlinear	nonlinear	ADJ
ejpam-6749	964	11	incidence	incidence	NOUN
ejpam-6749	964	12	and	and	CCONJ
ejpam-6749	964	13	general	general	ADJ
ejpam-6749	964	14	recovery	recovery	NOUN
ejpam-6749	964	15	functions	function	NOUN
ejpam-6749	964	16	of	of	ADP
ejpam-6749	964	17	i1	i1	PROPN
ejpam-6749	964	18	.	.	PUNCT
ejpam-6749	965	1	chaos	chaos	NOUN
ejpam-6749	965	2	,	,	PUNCT
ejpam-6749	965	3	solitons	soliton	NOUN
ejpam-6749	965	4	&	&	CCONJ
ejpam-6749	965	5	fractals	fractal	NOUN
ejpam-6749	965	6	,	,	PUNCT
ejpam-6749	965	7	145:110746	145:110746	NUM
ejpam-6749	965	8	,	,	PUNCT
ejpam-6749	965	9	2021	2021	NUM
ejpam-6749	965	10	.	.	PUNCT
ejpam-6749	966	1	[	[	X
ejpam-6749	966	2	25	25	NUM
ejpam-6749	966	3	]	]	PUNCT
ejpam-6749	966	4	c.	c.	PROPN
ejpam-6749	966	5	castillo	castillo	PROPN
ejpam-6749	966	6	-	-	PUNCT
ejpam-6749	966	7	chavez	chavez	PROPN
ejpam-6749	966	8	and	and	CCONJ
ejpam-6749	966	9	b.	b.	PROPN
ejpam-6749	966	10	song	song	PROPN
ejpam-6749	966	11	.	.	PUNCT
ejpam-6749	967	1	dynamical	dynamical	ADJ
ejpam-6749	967	2	models	model	NOUN
ejpam-6749	967	3	of	of	ADP
ejpam-6749	967	4	tuberculosis	tuberculosis	NOUN
ejpam-6749	967	5	and	and	CCONJ
ejpam-6749	967	6	their	their	PRON
ejpam-6749	967	7	applications	application	NOUN
ejpam-6749	967	8	.	.	PUNCT
ejpam-6749	968	1	mathematical	mathematical	ADJ
ejpam-6749	968	2	biosciences	bioscience	NOUN
ejpam-6749	968	3	and	and	CCONJ
ejpam-6749	968	4	engineering	engineering	NOUN
ejpam-6749	968	5	,	,	PUNCT
ejpam-6749	968	6	1(2):361–404	1(2):361–404	NUM
ejpam-6749	968	7	,	,	PUNCT
ejpam-6749	968	8	2004	2004	NUM
ejpam-6749	968	9	.	.	PUNCT
ejpam-6749	969	1	[	[	X
ejpam-6749	969	2	26	26	NUM
ejpam-6749	969	3	]	]	X
ejpam-6749	969	4	c.	c.	PROPN
ejpam-6749	969	5	castillo	castillo	PROPN
ejpam-6749	969	6	-	-	PUNCT
ejpam-6749	969	7	chavez	chavez	PROPN
ejpam-6749	969	8	and	and	CCONJ
ejpam-6749	969	9	b.	b.	PROPN
ejpam-6749	969	10	song	song	PROPN
ejpam-6749	969	11	.	.	PUNCT
ejpam-6749	969	12	7	7	X
ejpam-6749	969	13	.	.	NUM
ejpam-6749	969	14	models	model	NOUN
ejpam-6749	969	15	for	for	ADP
ejpam-6749	969	16	the	the	DET
ejpam-6749	969	17	transmission	transmission	NOUN
ejpam-6749	969	18	dynamics	dynamic	NOUN
ejpam-6749	969	19	of	of	ADP
ejpam-6749	969	20	fanatic	fanatic	ADJ
ejpam-6749	969	21	behaviors	behavior	NOUN
ejpam-6749	969	22	.	.	PUNCT
ejpam-6749	970	1	in	in	ADP
ejpam-6749	970	2	bioterrorism	bioterrorism	NOUN
ejpam-6749	970	3	:	:	PUNCT
ejpam-6749	970	4	mathematical	mathematical	ADJ
ejpam-6749	970	5	modeling	modeling	NOUN
ejpam-6749	970	6	applications	application	NOUN
ejpam-6749	970	7	in	in	ADP
ejpam-6749	970	8	homeland	homeland	NOUN
ejpam-6749	970	9	security	security	NOUN
ejpam-6749	970	10	,	,	PUNCT
ejpam-6749	970	11	pages	page	NOUN
ejpam-6749	970	12	155–172	155–172	NUM
ejpam-6749	970	13	.	.	PUNCT
ejpam-6749	970	14	siam	siam	PROPN
ejpam-6749	970	15	,	,	PUNCT
ejpam-6749	970	16	2003	2003	NUM
ejpam-6749	970	17	.	.	PUNCT
ejpam-6749	971	1	[	[	X
ejpam-6749	971	2	27	27	NUM
ejpam-6749	971	3	]	]	X
ejpam-6749	971	4	e.t	e.t	PROPN
ejpam-6749	971	5	.	.	PROPN
ejpam-6749	971	6	camacho	camacho	PROPN
ejpam-6749	971	7	.	.	PUNCT
ejpam-6749	972	1	the	the	DET
ejpam-6749	972	2	development	development	NOUN
ejpam-6749	972	3	and	and	CCONJ
ejpam-6749	972	4	interaction	interaction	NOUN
ejpam-6749	972	5	of	of	ADP
ejpam-6749	972	6	terrorist	terrorist	ADJ
ejpam-6749	972	7	and	and	CCONJ
ejpam-6749	972	8	fanatic	fanatic	ADJ
ejpam-6749	972	9	groups	group	NOUN
ejpam-6749	972	10	.	.	PUNCT
ejpam-6749	973	1	communications	communication	NOUN
ejpam-6749	973	2	in	in	ADP
ejpam-6749	973	3	nonlinear	nonlinear	ADJ
ejpam-6749	973	4	science	science	NOUN
ejpam-6749	973	5	and	and	CCONJ
ejpam-6749	973	6	numerical	numerical	PROPN
ejpam-6749	973	7	simulation	simulation	PROPN
ejpam-6749	973	8	,	,	PUNCT
ejpam-6749	973	9	18(11):3086–3097	18(11):3086–3097	NUM
ejpam-6749	973	10	,	,	PUNCT
ejpam-6749	973	11	2013	2013	NUM
ejpam-6749	973	12	.	.	PUNCT
ejpam-6749	974	1	[	[	X
ejpam-6749	974	2	28	28	NUM
ejpam-6749	974	3	]	]	X
ejpam-6749	974	4	s.	s.	PROPN
ejpam-6749	974	5	hussain	hussain	PROPN
ejpam-6749	974	6	.	.	PUNCT
ejpam-6749	975	1	dynamical	dynamical	ADJ
ejpam-6749	975	2	behavior	behavior	NOUN
ejpam-6749	975	3	of	of	ADP
ejpam-6749	975	4	mathematical	mathematical	ADJ
ejpam-6749	975	5	model	model	NOUN
ejpam-6749	975	6	on	on	ADP
ejpam-6749	975	7	the	the	DET
ejpam-6749	975	8	network	network	NOUN
ejpam-6749	975	9	of	of	ADP
ejpam-6749	975	10	militants	militant	NOUN
ejpam-6749	975	11	.	.	PUNCT
ejpam-6749	976	1	punjab	punjab	PROPN
ejpam-6749	976	2	university	university	PROPN
ejpam-6749	976	3	journal	journal	NOUN
ejpam-6749	976	4	of	of	ADP
ejpam-6749	976	5	mathematics	mathematic	NOUN
ejpam-6749	976	6	,	,	PUNCT
ejpam-6749	976	7	51(1):51–60	51(1):51–60	NUM
ejpam-6749	976	8	,	,	PUNCT
ejpam-6749	976	9	2019	2019	NUM
ejpam-6749	976	10	.	.	PUNCT
ejpam-6749	977	1	[	[	X
ejpam-6749	977	2	29	29	NUM
ejpam-6749	977	3	]	]	PUNCT
ejpam-6749	977	4	t.	t.	NOUN
ejpam-6749	977	5	sandler	sandler	PROPN
ejpam-6749	977	6	.	.	PUNCT
ejpam-6749	978	1	the	the	DET
ejpam-6749	978	2	analytical	analytical	ADJ
ejpam-6749	978	3	study	study	NOUN
ejpam-6749	978	4	of	of	ADP
ejpam-6749	978	5	terrorism	terrorism	NOUN
ejpam-6749	978	6	:	:	PUNCT
ejpam-6749	978	7	taking	take	VERB
ejpam-6749	978	8	stock	stock	NOUN
ejpam-6749	978	9	.	.	PUNCT
ejpam-6749	979	1	journal	journal	PROPN
ejpam-6749	979	2	of	of	ADP
ejpam-6749	979	3	peace	peace	NOUN
ejpam-6749	979	4	research	research	NOUN
ejpam-6749	979	5	,	,	PUNCT
ejpam-6749	979	6	51(2):257–271	51(2):257–271	NOUN
ejpam-6749	979	7	,	,	PUNCT
ejpam-6749	979	8	2014	2014	NUM
ejpam-6749	979	9	.	.	PUNCT
ejpam-6749	980	1	[	[	X
ejpam-6749	980	2	30	30	NUM
ejpam-6749	980	3	]	]	X
ejpam-6749	980	4	m.	m.	NOUN
ejpam-6749	980	5	santoprete	santoprete	PROPN
ejpam-6749	980	6	and	and	CCONJ
ejpam-6749	980	7	f.	f.	PROPN
ejpam-6749	980	8	xu	xu	PROPN
ejpam-6749	980	9	.	.	PUNCT
ejpam-6749	981	1	global	global	ADJ
ejpam-6749	981	2	stability	stability	NOUN
ejpam-6749	981	3	in	in	ADP
ejpam-6749	981	4	a	a	DET
ejpam-6749	981	5	mathematical	mathematical	ADJ
ejpam-6749	981	6	model	model	NOUN
ejpam-6749	981	7	of	of	ADP
ejpam-6749	981	8	deradicalization	deradicalization	NOUN
ejpam-6749	981	9	.	.	PUNCT
ejpam-6749	982	1	physica	physica	PROPN
ejpam-6749	982	2	a	a	DET
ejpam-6749	982	3	:	:	PUNCT
ejpam-6749	982	4	statistical	statistical	ADJ
ejpam-6749	982	5	mechanics	mechanic	NOUN
ejpam-6749	982	6	and	and	CCONJ
ejpam-6749	982	7	its	its	PRON
ejpam-6749	982	8	applications	application	NOUN
ejpam-6749	982	9	,	,	PUNCT
ejpam-6749	982	10	509:151–161	509:151–161	NUM
ejpam-6749	982	11	,	,	PUNCT
ejpam-6749	982	12	2018	2018	NUM
ejpam-6749	982	13	.	.	PUNCT
ejpam-6749	983	1	[	[	X
ejpam-6749	983	2	31	31	NUM
ejpam-6749	983	3	]	]	X
ejpam-6749	983	4	i.j	i.j	PROPN
ejpam-6749	983	5	.	.	PROPN
ejpam-6749	983	6	udoh	udoh	PROPN
ejpam-6749	983	7	and	and	CCONJ
ejpam-6749	983	8	m.o	m.o	PROPN
ejpam-6749	983	9	.	.	PROPN
ejpam-6749	983	10	oladejo	oladejo	PROPN
ejpam-6749	983	11	.	.	PUNCT
ejpam-6749	984	1	optimal	optimal	ADJ
ejpam-6749	984	2	human	human	ADJ
ejpam-6749	984	3	resources	resource	NOUN
ejpam-6749	984	4	allocation	allocation	NOUN
ejpam-6749	984	5	in	in	ADP
ejpam-6749	984	6	counter	counter	NOUN
ejpam-6749	984	7	-	-	NOUN
ejpam-6749	984	8	terrorism	terrorism	ADJ
ejpam-6749	984	9	(	(	PUNCT
ejpam-6749	984	10	ct	ct	NOUN
ejpam-6749	984	11	)	)	PUNCT
ejpam-6749	984	12	operation	operation	NOUN
ejpam-6749	984	13	:	:	PUNCT
ejpam-6749	984	14	a	a	DET
ejpam-6749	984	15	mathematical	mathematical	ADJ
ejpam-6749	984	16	deterministic	deterministic	ADJ
ejpam-6749	984	17	model	model	NOUN
ejpam-6749	984	18	.	.	PUNCT
ejpam-6749	985	1	international	international	ADJ
ejpam-6749	985	2	journal	journal	NOUN
ejpam-6749	985	3	of	of	ADP
ejpam-6749	985	4	advances	advance	NOUN
ejpam-6749	985	5	in	in	ADP
ejpam-6749	985	6	scientific	scientific	ADJ
ejpam-6749	985	7	research	research	NOUN
ejpam-6749	985	8	and	and	CCONJ
ejpam-6749	985	9	engineering	engineering	NOUN
ejpam-6749	985	10	(	(	PUNCT
ejpam-6749	985	11	ijasre	ijasre	NOUN
ejpam-6749	985	12	)	)	PUNCT
ejpam-6749	985	13	,	,	PUNCT
ejpam-6749	985	14	5(1):96–115	5(1):96–115	NUM
ejpam-6749	985	15	,	,	PUNCT
ejpam-6749	985	16	2019	2019	NUM
ejpam-6749	985	17	.	.	PUNCT
ejpam-6749	986	1	[	[	X
ejpam-6749	986	2	32	32	NUM
ejpam-6749	986	3	]	]	PUNCT
ejpam-6749	986	4	h.	h.	PROPN
ejpam-6749	986	5	r.	r.	PROPN
ejpam-6749	986	6	thieme	thieme	PROPN
ejpam-6749	986	7	.	.	PUNCT
ejpam-6749	987	1	mathematics	mathematics	PROPN
ejpam-6749	987	2	in	in	ADP
ejpam-6749	987	3	population	population	NOUN
ejpam-6749	987	4	biology	biology	NOUN
ejpam-6749	987	5	.	.	PUNCT
ejpam-6749	988	1	princeton	princeton	PROPN
ejpam-6749	988	2	university	university	PROPN
ejpam-6749	988	3	press	press	NOUN
ejpam-6749	988	4	,	,	PUNCT
ejpam-6749	988	5	2003	2003	NUM
ejpam-6749	988	6	.	.	PUNCT
ejpam-6749	989	1	m.	m.	NOUN
ejpam-6749	989	2	zorom	zorom	NOUN
ejpam-6749	989	3	et	et	PROPN
ejpam-6749	989	4	al	al	PROPN
ejpam-6749	989	5	.	.	PUNCT
ejpam-6749	989	6	/	/	SYM
ejpam-6749	989	7	eur	eur	PROPN
ejpam-6749	989	8	.	.	PUNCT
ejpam-6749	990	1	j.	j.	PROPN
ejpam-6749	990	2	pure	pure	PROPN
ejpam-6749	990	3	appl	appl	PROPN
ejpam-6749	990	4	.	.	PROPN
ejpam-6749	990	5	math	math	PROPN
ejpam-6749	990	6	,	,	PUNCT
ejpam-6749	990	7	18	18	NUM
ejpam-6749	990	8	(	(	PUNCT
ejpam-6749	990	9	4	4	NUM
ejpam-6749	990	10	)	)	PUNCT
ejpam-6749	990	11	(	(	PUNCT
ejpam-6749	990	12	2025	2025	NUM
ejpam-6749	990	13	)	)	PUNCT
ejpam-6749	990	14	,	,	PUNCT
ejpam-6749	990	15	6749	6749	NUM
ejpam-6749	990	16	43	43	NUM
ejpam-6749	990	17	of	of	ADP
ejpam-6749	990	18	47	47	NUM
ejpam-6749	990	19	[	[	SYM
ejpam-6749	990	20	33	33	NUM
ejpam-6749	990	21	]	]	PUNCT
ejpam-6749	990	22	l.	l.	PROPN
ejpam-6749	990	23	perko	perko	PROPN
ejpam-6749	990	24	.	.	PUNCT
ejpam-6749	991	1	differential	differential	ADJ
ejpam-6749	991	2	equations	equation	NOUN
ejpam-6749	991	3	and	and	CCONJ
ejpam-6749	991	4	dynamical	dynamical	ADJ
ejpam-6749	991	5	systems	system	NOUN
ejpam-6749	991	6	.	.	PUNCT
ejpam-6749	992	1	springer	springer	NOUN
ejpam-6749	992	2	science	science	PROPN
ejpam-6749	992	3	&	&	CCONJ
ejpam-6749	992	4	business	business	NOUN
ejpam-6749	992	5	media	medium	NOUN
ejpam-6749	992	6	,	,	PUNCT
ejpam-6749	992	7	2013	2013	NUM
ejpam-6749	992	8	.	.	PUNCT
ejpam-6749	993	1	[	[	X
ejpam-6749	993	2	34	34	NUM
ejpam-6749	993	3	]	]	X
ejpam-6749	993	4	h.	h.	PROPN
ejpam-6749	993	5	l.	l.	PROPN
ejpam-6749	993	6	smith	smith	PROPN
ejpam-6749	993	7	.	.	PUNCT
ejpam-6749	994	1	monotone	monotone	ADJ
ejpam-6749	994	2	dynamical	dynamical	ADJ
ejpam-6749	994	3	systems	system	NOUN
ejpam-6749	994	4	:	:	PUNCT
ejpam-6749	994	5	an	an	DET
ejpam-6749	994	6	introduction	introduction	NOUN
ejpam-6749	994	7	to	to	ADP
ejpam-6749	994	8	the	the	DET
ejpam-6749	994	9	theory	theory	NOUN
ejpam-6749	994	10	of	of	ADP
ejpam-6749	994	11	competitive	competitive	ADJ
ejpam-6749	994	12	and	and	CCONJ
ejpam-6749	994	13	cooperative	cooperative	ADJ
ejpam-6749	994	14	systems	system	NOUN
ejpam-6749	994	15	.	.	PUNCT
ejpam-6749	995	1	american	american	PROPN
ejpam-6749	995	2	mathematical	mathematical	PROPN
ejpam-6749	995	3	society	society	NOUN
ejpam-6749	995	4	,	,	PUNCT
ejpam-6749	995	5	1995	1995	NUM
ejpam-6749	995	6	.	.	PUNCT
ejpam-6749	996	1	[	[	X
ejpam-6749	996	2	35	35	NUM
ejpam-6749	996	3	]	]	X
ejpam-6749	996	4	v.	v.	CCONJ
ejpam-6749	996	5	lakshmikantham	lakshmikantham	NOUN
ejpam-6749	996	6	and	and	CCONJ
ejpam-6749	996	7	s.	s.	PROPN
ejpam-6749	996	8	leela	leela	PROPN
ejpam-6749	996	9	.	.	PUNCT
ejpam-6749	996	10	differential	differential	PROPN
ejpam-6749	996	11	and	and	CCONJ
ejpam-6749	996	12	integral	integral	ADJ
ejpam-6749	996	13	inequalities	inequality	NOUN
ejpam-6749	996	14	:	:	PUNCT
ejpam-6749	996	15	theory	theory	NOUN
ejpam-6749	996	16	and	and	CCONJ
ejpam-6749	996	17	applications	application	NOUN
ejpam-6749	996	18	.	.	PUNCT
ejpam-6749	997	1	academic	academic	ADJ
ejpam-6749	997	2	press	press	NOUN
ejpam-6749	997	3	,	,	PUNCT
ejpam-6749	997	4	1969	1969	NUM
ejpam-6749	997	5	.	.	PUNCT
ejpam-6749	998	1	[	[	X
ejpam-6749	998	2	36	36	NUM
ejpam-6749	998	3	]	]	X
ejpam-6749	998	4	w.	w.	PROPN
ejpam-6749	998	5	e.	e.	PROPN
ejpam-6749	998	6	boyce	boyce	PROPN
ejpam-6749	998	7	and	and	CCONJ
ejpam-6749	998	8	r.	r.	PROPN
ejpam-6749	998	9	c.	c.	PROPN
ejpam-6749	998	10	diprima	diprima	PROPN
ejpam-6749	998	11	.	.	PUNCT
ejpam-6749	999	1	elementary	elementary	PROPN
ejpam-6749	999	2	differential	differential	PROPN
ejpam-6749	999	3	equations	equation	NOUN
ejpam-6749	999	4	and	and	CCONJ
ejpam-6749	999	5	boundary	boundary	ADJ
ejpam-6749	999	6	value	value	NOUN
ejpam-6749	999	7	problems	problem	NOUN
ejpam-6749	999	8	.	.	PUNCT
ejpam-6749	1000	1	john	john	PROPN
ejpam-6749	1000	2	wiley	wiley	PROPN
ejpam-6749	1000	3	&	&	CCONJ
ejpam-6749	1000	4	sons	son	NOUN
ejpam-6749	1000	5	,	,	PUNCT
ejpam-6749	1000	6	2012	2012	NUM
ejpam-6749	1000	7	.	.	PUNCT
ejpam-6749	1001	1	[	[	X
ejpam-6749	1001	2	37	37	NUM
ejpam-6749	1001	3	]	]	X
ejpam-6749	1001	4	w.	w.	PROPN
ejpam-6749	1001	5	walter	walter	PROPN
ejpam-6749	1001	6	.	.	PUNCT
ejpam-6749	1002	1	ordinary	ordinary	ADJ
ejpam-6749	1002	2	differential	differential	ADJ
ejpam-6749	1002	3	equations	equation	NOUN
ejpam-6749	1002	4	.	.	PUNCT
ejpam-6749	1003	1	springer	springer	NOUN
ejpam-6749	1003	2	-	-	PUNCT
ejpam-6749	1003	3	verlag	verlag	PROPN
ejpam-6749	1003	4	,	,	PUNCT
ejpam-6749	1003	5	1998	1998	NUM
ejpam-6749	1003	6	.	.	PUNCT
ejpam-6749	1004	1	[	[	X
ejpam-6749	1004	2	38	38	NUM
ejpam-6749	1004	3	]	]	PUNCT
ejpam-6749	1004	4	w.	w.	PROPN
ejpam-6749	1004	5	rudin	rudin	PROPN
ejpam-6749	1004	6	.	.	PUNCT
ejpam-6749	1005	1	real	real	ADJ
ejpam-6749	1005	2	and	and	CCONJ
ejpam-6749	1005	3	complex	complex	ADJ
ejpam-6749	1005	4	analysis	analysis	NOUN
ejpam-6749	1005	5	.	.	PUNCT
ejpam-6749	1006	1	mcgraw	mcgraw	PROPN
ejpam-6749	1006	2	-	-	PUNCT
ejpam-6749	1006	3	hill	hill	PROPN
ejpam-6749	1006	4	,	,	PUNCT
ejpam-6749	1006	5	1987	1987	NUM
ejpam-6749	1006	6	.	.	PUNCT
ejpam-6749	1007	1	[	[	X
ejpam-6749	1007	2	39	39	NUM
ejpam-6749	1007	3	]	]	PUNCT
ejpam-6749	1007	4	p.	p.	PROPN
ejpam-6749	1007	5	hartman	hartman	PROPN
ejpam-6749	1007	6	.	.	PUNCT
ejpam-6749	1008	1	ordinary	ordinary	ADJ
ejpam-6749	1008	2	differential	differential	ADJ
ejpam-6749	1008	3	equations	equation	NOUN
ejpam-6749	1008	4	.	.	PUNCT
ejpam-6749	1009	1	john	john	PROPN
ejpam-6749	1009	2	wiley	wiley	PROPN
ejpam-6749	1009	3	&	&	CCONJ
ejpam-6749	1009	4	sons	son	NOUN
ejpam-6749	1009	5	,	,	PUNCT
ejpam-6749	1009	6	1964	1964	NUM
ejpam-6749	1009	7	.	.	PUNCT
ejpam-6749	1010	1	[	[	X
ejpam-6749	1010	2	40	40	NUM
ejpam-6749	1010	3	]	]	PUNCT
ejpam-6749	1010	4	s.	s.	PROPN
ejpam-6749	1010	5	lang	lang	PROPN
ejpam-6749	1010	6	.	.	PUNCT
ejpam-6749	1011	1	algebra	algebra	PROPN
ejpam-6749	1011	2	.	.	PUNCT
ejpam-6749	1012	1	springer	springer	NOUN
ejpam-6749	1012	2	-	-	PUNCT
ejpam-6749	1012	3	verlag	verlag	PROPN
ejpam-6749	1012	4	,	,	PUNCT
ejpam-6749	1012	5	2002	2002	NUM
ejpam-6749	1012	6	.	.	PUNCT
ejpam-6749	1013	1	[	[	X
ejpam-6749	1013	2	41	41	NUM
ejpam-6749	1013	3	]	]	X
ejpam-6749	1013	4	e.	e.	PROPN
ejpam-6749	1013	5	a.	a.	PROPN
ejpam-6749	1013	6	coddington	coddington	PROPN
ejpam-6749	1013	7	and	and	CCONJ
ejpam-6749	1013	8	n.	n.	PROPN
ejpam-6749	1013	9	levinson	levinson	PROPN
ejpam-6749	1013	10	.	.	PUNCT
ejpam-6749	1014	1	theory	theory	NOUN
ejpam-6749	1014	2	of	of	ADP
ejpam-6749	1014	3	ordinary	ordinary	ADJ
ejpam-6749	1014	4	differential	differential	ADJ
ejpam-6749	1014	5	equations	equation	NOUN
ejpam-6749	1014	6	.	.	PUNCT
ejpam-6749	1015	1	mcgraw	mcgraw	PROPN
ejpam-6749	1015	2	-	-	PUNCT
ejpam-6749	1015	3	hill	hill	PROPN
ejpam-6749	1015	4	,	,	PUNCT
ejpam-6749	1015	5	1955	1955	NUM
ejpam-6749	1015	6	.	.	PUNCT
ejpam-6749	1016	1	[	[	X
ejpam-6749	1016	2	42	42	NUM
ejpam-6749	1016	3	]	]	PUNCT
ejpam-6749	1016	4	j.	j.	PROPN
ejpam-6749	1016	5	hale	hale	PROPN
ejpam-6749	1016	6	.	.	PUNCT
ejpam-6749	1017	1	ordinary	ordinary	ADJ
ejpam-6749	1017	2	differential	differential	ADJ
ejpam-6749	1017	3	equations	equation	NOUN
ejpam-6749	1017	4	.	.	PUNCT
ejpam-6749	1018	1	robert	robert	PROPN
ejpam-6749	1018	2	e.	e.	PROPN
ejpam-6749	1018	3	krieger	krieger	PROPN
ejpam-6749	1018	4	publishing	publishing	PROPN
ejpam-6749	1018	5	company	company	NOUN
ejpam-6749	1018	6	,	,	PUNCT
ejpam-6749	1018	7	1980	1980	NUM
ejpam-6749	1018	8	.	.	PUNCT
ejpam-6749	1019	1	[	[	X
ejpam-6749	1019	2	43	43	NUM
ejpam-6749	1019	3	]	]	PUNCT
ejpam-6749	1019	4	p.	p.	NOUN
ejpam-6749	1019	5	van	van	PROPN
ejpam-6749	1019	6	den	den	PROPN
ejpam-6749	1019	7	driessche	driessche	NOUN
ejpam-6749	1019	8	and	and	CCONJ
ejpam-6749	1019	9	j.	j.	PROPN
ejpam-6749	1019	10	watmough	watmough	PROPN
ejpam-6749	1019	11	.	.	PUNCT
ejpam-6749	1020	1	reproduction	reproduction	NOUN
ejpam-6749	1020	2	numbers	number	NOUN
ejpam-6749	1020	3	and	and	CCONJ
ejpam-6749	1020	4	sub	sub	ADJ
ejpam-6749	1020	5	-	-	ADJ
ejpam-6749	1020	6	threshold	threshold	ADJ
ejpam-6749	1020	7	endemic	endemic	ADJ
ejpam-6749	1020	8	equilibria	equilibrium	NOUN
ejpam-6749	1020	9	for	for	ADP
ejpam-6749	1020	10	compartmental	compartmental	ADJ
ejpam-6749	1020	11	models	model	NOUN
ejpam-6749	1020	12	of	of	ADP
ejpam-6749	1020	13	disease	disease	NOUN
ejpam-6749	1020	14	transmission	transmission	NOUN
ejpam-6749	1020	15	.	.	PUNCT
ejpam-6749	1021	1	mathematical	mathematical	ADJ
ejpam-6749	1021	2	biosciences	bioscience	NOUN
ejpam-6749	1021	3	,	,	PUNCT
ejpam-6749	1021	4	180(1	180(1	NUM
ejpam-6749	1021	5	-	-	SYM
ejpam-6749	1021	6	2):29–48	2):29–48	NUM
ejpam-6749	1021	7	,	,	PUNCT
ejpam-6749	1021	8	2002	2002	NUM
ejpam-6749	1021	9	.	.	PUNCT
ejpam-6749	1022	1	[	[	X
ejpam-6749	1022	2	44	44	NUM
ejpam-6749	1022	3	]	]	PUNCT
ejpam-6749	1022	4	s.	s.	PROPN
ejpam-6749	1022	5	wiggins	wiggins	PROPN
ejpam-6749	1022	6	.	.	PUNCT
ejpam-6749	1023	1	introduction	introduction	NOUN
ejpam-6749	1023	2	to	to	AUX
ejpam-6749	1023	3	applied	apply	VERB
ejpam-6749	1023	4	nonlinear	nonlinear	ADJ
ejpam-6749	1023	5	dynamical	dynamical	ADJ
ejpam-6749	1023	6	systems	system	NOUN
ejpam-6749	1023	7	and	and	CCONJ
ejpam-6749	1023	8	chaos	chaos	NOUN
ejpam-6749	1023	9	.	.	PUNCT
ejpam-6749	1024	1	springer	springer	PROPN
ejpam-6749	1024	2	science	science	PROPN
ejpam-6749	1024	3	&	&	CCONJ
ejpam-6749	1024	4	business	business	NOUN
ejpam-6749	1024	5	media	medium	NOUN
ejpam-6749	1024	6	,	,	PUNCT
ejpam-6749	1024	7	2003	2003	NUM
ejpam-6749	1024	8	.	.	PUNCT
ejpam-6749	1025	1	[	[	X
ejpam-6749	1025	2	45	45	NUM
ejpam-6749	1025	3	]	]	PUNCT
ejpam-6749	1025	4	d.	d.	PROPN
ejpam-6749	1025	5	a.	a.	PROPN
ejpam-6749	1025	6	cox	cox	PROPN
ejpam-6749	1025	7	,	,	PUNCT
ejpam-6749	1025	8	j.	j.	PROPN
ejpam-6749	1025	9	little	little	PROPN
ejpam-6749	1025	10	,	,	PUNCT
ejpam-6749	1025	11	and	and	CCONJ
ejpam-6749	1025	12	d.	d.	PROPN
ejpam-6749	1025	13	o’shea	o’shea	PROPN
ejpam-6749	1025	14	.	.	PUNCT
ejpam-6749	1026	1	ideals	ideal	NOUN
ejpam-6749	1026	2	,	,	PUNCT
ejpam-6749	1026	3	varieties	variety	NOUN
ejpam-6749	1026	4	,	,	PUNCT
ejpam-6749	1026	5	and	and	CCONJ
ejpam-6749	1026	6	algorithms	algorithm	NOUN
ejpam-6749	1026	7	.	.	PUNCT
ejpam-6749	1027	1	springer	springer	NOUN
ejpam-6749	1027	2	,	,	PUNCT
ejpam-6749	1027	3	2007	2007	NUM
ejpam-6749	1027	4	.	.	PUNCT
ejpam-6749	1028	1	[	[	X
ejpam-6749	1028	2	46	46	NUM
ejpam-6749	1028	3	]	]	X
ejpam-6749	1028	4	y.	y.	NOUN
ejpam-6749	1028	5	a.	a.	PROPN
ejpam-6749	1028	6	kuznetsov	kuznetsov	PROPN
ejpam-6749	1028	7	.	.	PUNCT
ejpam-6749	1029	1	elements	element	NOUN
ejpam-6749	1029	2	of	of	ADP
ejpam-6749	1029	3	applied	apply	VERB
ejpam-6749	1029	4	bifurcation	bifurcation	NOUN
ejpam-6749	1029	5	theory	theory	NOUN
ejpam-6749	1029	6	.	.	PUNCT
ejpam-6749	1030	1	springer	springer	NOUN
ejpam-6749	1030	2	science	science	PROPN
ejpam-6749	1030	3	&	&	CCONJ
ejpam-6749	1030	4	business	business	NOUN
ejpam-6749	1030	5	media	medium	NOUN
ejpam-6749	1030	6	,	,	PUNCT
ejpam-6749	1030	7	2013	2013	NUM
ejpam-6749	1030	8	.	.	PUNCT
ejpam-6749	1031	1	[	[	X
ejpam-6749	1031	2	47	47	NUM
ejpam-6749	1031	3	]	]	X
ejpam-6749	1031	4	o.	o.	NOUN
ejpam-6749	1031	5	diekmann	diekmann	PROPN
ejpam-6749	1031	6	,	,	PUNCT
ejpam-6749	1031	7	j.	j.	PROPN
ejpam-6749	1031	8	a.	a.	PROPN
ejpam-6749	1031	9	p.	p.	PROPN
ejpam-6749	1031	10	heesterbeek	heesterbeek	PROPN
ejpam-6749	1031	11	,	,	PUNCT
ejpam-6749	1031	12	and	and	CCONJ
ejpam-6749	1031	13	j.	j.	PROPN
ejpam-6749	1031	14	a.	a.	PROPN
ejpam-6749	1031	15	metz	metz	PROPN
ejpam-6749	1031	16	.	.	PUNCT
ejpam-6749	1032	1	on	on	ADP
ejpam-6749	1032	2	the	the	DET
ejpam-6749	1032	3	definition	definition	NOUN
ejpam-6749	1032	4	and	and	CCONJ
ejpam-6749	1032	5	the	the	DET
ejpam-6749	1032	6	computation	computation	NOUN
ejpam-6749	1032	7	of	of	ADP
ejpam-6749	1032	8	the	the	DET
ejpam-6749	1032	9	basic	basic	ADJ
ejpam-6749	1032	10	reproduction	reproduction	NOUN
ejpam-6749	1032	11	ratio	ratio	NOUN
ejpam-6749	1032	12	r0	r0	NOUN
ejpam-6749	1032	13	in	in	ADP
ejpam-6749	1032	14	models	model	NOUN
ejpam-6749	1032	15	for	for	ADP
ejpam-6749	1032	16	infectious	infectious	ADJ
ejpam-6749	1032	17	diseases	disease	NOUN
ejpam-6749	1032	18	in	in	ADP
ejpam-6749	1032	19	heterogeneous	heterogeneous	ADJ
ejpam-6749	1032	20	populations	population	NOUN
ejpam-6749	1032	21	.	.	PUNCT
ejpam-6749	1033	1	journal	journal	PROPN
ejpam-6749	1033	2	of	of	ADP
ejpam-6749	1033	3	mathematical	mathematical	ADJ
ejpam-6749	1033	4	biology	biology	NOUN
ejpam-6749	1033	5	,	,	PUNCT
ejpam-6749	1033	6	28(4):365–382	28(4):365–382	PROPN
ejpam-6749	1033	7	,	,	PUNCT
ejpam-6749	1033	8	1990	1990	NUM
ejpam-6749	1033	9	.	.	PUNCT
ejpam-6749	1034	1	[	[	X
ejpam-6749	1034	2	48	48	NUM
ejpam-6749	1034	3	]	]	X
ejpam-6749	1034	4	g.	g.	PROPN
ejpam-6749	1034	5	strang	strang	PROPN
ejpam-6749	1034	6	.	.	PUNCT
ejpam-6749	1035	1	introduction	introduction	NOUN
ejpam-6749	1035	2	to	to	ADP
ejpam-6749	1035	3	linear	linear	PROPN
ejpam-6749	1035	4	algebra	algebra	PROPN
ejpam-6749	1035	5	.	.	PUNCT
ejpam-6749	1036	1	wellesley	wellesley	PROPN
ejpam-6749	1036	2	-	-	PUNCT
ejpam-6749	1036	3	cambridge	cambridge	PROPN
ejpam-6749	1036	4	press	press	NOUN
ejpam-6749	1036	5	,	,	PUNCT
ejpam-6749	1036	6	2016	2016	NUM
ejpam-6749	1036	7	.	.	PUNCT
ejpam-6749	1037	1	[	[	X
ejpam-6749	1037	2	49	49	NUM
ejpam-6749	1037	3	]	]	PUNCT
ejpam-6749	1037	4	g.	g.	PROPN
ejpam-6749	1037	5	macdonald	macdonald	PROPN
ejpam-6749	1037	6	.	.	PUNCT
ejpam-6749	1038	1	the	the	DET
ejpam-6749	1038	2	analysis	analysis	NOUN
ejpam-6749	1038	3	of	of	ADP
ejpam-6749	1038	4	equilibrium	equilibrium	NOUN
ejpam-6749	1038	5	in	in	ADP
ejpam-6749	1038	6	malaria	malaria	NOUN
ejpam-6749	1038	7	.	.	PUNCT
ejpam-6749	1039	1	tropical	tropical	ADJ
ejpam-6749	1039	2	diseases	disease	NOUN
ejpam-6749	1039	3	bulletin	bulletin	NOUN
ejpam-6749	1039	4	,	,	PUNCT
ejpam-6749	1039	5	49(9):813–829	49(9):813–829	NUM
ejpam-6749	1039	6	,	,	PUNCT
ejpam-6749	1039	7	1952	1952	NUM
ejpam-6749	1039	8	.	.	PUNCT
ejpam-6749	1040	1	[	[	X
ejpam-6749	1040	2	50	50	NUM
ejpam-6749	1040	3	]	]	X
ejpam-6749	1040	4	o.	o.	NOUN
ejpam-6749	1040	5	diekmann	diekmann	PROPN
ejpam-6749	1040	6	and	and	CCONJ
ejpam-6749	1040	7	j.	j.	PROPN
ejpam-6749	1040	8	a.	a.	PROPN
ejpam-6749	1040	9	p.	p.	PROPN
ejpam-6749	1040	10	heesterbeek	heesterbeek	PROPN
ejpam-6749	1040	11	.	.	PUNCT
ejpam-6749	1041	1	mathematical	mathematical	ADJ
ejpam-6749	1041	2	epidemiology	epidemiology	NOUN
ejpam-6749	1041	3	of	of	ADP
ejpam-6749	1041	4	infectious	infectious	ADJ
ejpam-6749	1041	5	diseases	disease	NOUN
ejpam-6749	1041	6	:	:	PUNCT
ejpam-6749	1041	7	model	model	NOUN
ejpam-6749	1041	8	building	building	NOUN
ejpam-6749	1041	9	,	,	PUNCT
ejpam-6749	1041	10	analysis	analysis	NOUN
ejpam-6749	1041	11	and	and	CCONJ
ejpam-6749	1041	12	interpretation	interpretation	NOUN
ejpam-6749	1041	13	.	.	PUNCT
ejpam-6749	1042	1	john	john	PROPN
ejpam-6749	1042	2	wiley	wiley	PROPN
ejpam-6749	1042	3	&	&	CCONJ
ejpam-6749	1042	4	sons	son	NOUN
ejpam-6749	1042	5	,	,	PUNCT
ejpam-6749	1042	6	2000	2000	NUM
ejpam-6749	1042	7	.	.	PUNCT
ejpam-6749	1043	1	[	[	X
ejpam-6749	1043	2	51	51	NUM
ejpam-6749	1043	3	]	]	PUNCT
ejpam-6749	1043	4	j.	j.	PROPN
ejpam-6749	1043	5	m.	m.	PROPN
ejpam-6749	1043	6	heffernan	heffernan	PROPN
ejpam-6749	1043	7	,	,	PUNCT
ejpam-6749	1043	8	r.	r.	PROPN
ejpam-6749	1043	9	j.	j.	PROPN
ejpam-6749	1043	10	smith	smith	PROPN
ejpam-6749	1043	11	,	,	PUNCT
ejpam-6749	1043	12	and	and	CCONJ
ejpam-6749	1043	13	l.	l.	PROPN
ejpam-6749	1043	14	m.	m.	PROPN
ejpam-6749	1043	15	wahl	wahl	PROPN
ejpam-6749	1043	16	.	.	PUNCT
ejpam-6749	1044	1	perspectives	perspective	NOUN
ejpam-6749	1044	2	on	on	ADP
ejpam-6749	1044	3	the	the	DET
ejpam-6749	1044	4	basic	basic	ADJ
ejpam-6749	1044	5	reproductive	reproductive	ADJ
ejpam-6749	1044	6	ratio	ratio	NOUN
ejpam-6749	1044	7	.	.	PUNCT
ejpam-6749	1045	1	journal	journal	NOUN
ejpam-6749	1045	2	of	of	ADP
ejpam-6749	1045	3	the	the	DET
ejpam-6749	1045	4	royal	royal	ADJ
ejpam-6749	1045	5	society	society	NOUN
ejpam-6749	1045	6	interface	interface	NOUN
ejpam-6749	1045	7	,	,	PUNCT
ejpam-6749	1045	8	2(4):281–293	2(4):281–293	NUM
ejpam-6749	1045	9	,	,	PUNCT
ejpam-6749	1045	10	2005	2005	NUM
ejpam-6749	1045	11	.	.	PUNCT
ejpam-6749	1046	1	[	[	X
ejpam-6749	1046	2	52	52	NUM
ejpam-6749	1046	3	]	]	PUNCT
ejpam-6749	1046	4	m.	m.	NOUN
ejpam-6749	1046	5	y.	y.	PROPN
ejpam-6749	1046	6	li	li	PROPN
ejpam-6749	1046	7	and	and	CCONJ
ejpam-6749	1046	8	j.	j.	PROPN
ejpam-6749	1046	9	s.	s.	PROPN
ejpam-6749	1046	10	muldowney	muldowney	PROPN
ejpam-6749	1046	11	.	.	PUNCT
ejpam-6749	1047	1	global	global	ADJ
ejpam-6749	1047	2	stability	stability	NOUN
ejpam-6749	1047	3	for	for	ADP
ejpam-6749	1047	4	the	the	DET
ejpam-6749	1047	5	seir	seir	ADJ
ejpam-6749	1047	6	model	model	NOUN
ejpam-6749	1047	7	in	in	ADP
ejpam-6749	1047	8	epidemiology	epidemiology	NOUN
ejpam-6749	1047	9	.	.	PUNCT
ejpam-6749	1048	1	mathematical	mathematical	ADJ
ejpam-6749	1048	2	biosciences	bioscience	NOUN
ejpam-6749	1048	3	,	,	PUNCT
ejpam-6749	1048	4	125(2):155–164	125(2):155–164	NUM
ejpam-6749	1048	5	,	,	PUNCT
ejpam-6749	1048	6	1995	1995	NUM
ejpam-6749	1048	7	.	.	PUNCT
ejpam-6749	1049	1	[	[	X
ejpam-6749	1049	2	53	53	NUM
ejpam-6749	1049	3	]	]	PUNCT
ejpam-6749	1049	4	r.	r.	PROPN
ejpam-6749	1049	5	l.	l.	PROPN
ejpam-6749	1049	6	burden	burden	PROPN
ejpam-6749	1049	7	and	and	CCONJ
ejpam-6749	1049	8	j.	j.	PROPN
ejpam-6749	1049	9	d.	d.	PROPN
ejpam-6749	1049	10	faires	faires	PROPN
ejpam-6749	1049	11	.	.	PUNCT
ejpam-6749	1050	1	numerical	numerical	ADJ
ejpam-6749	1050	2	analysis	analysis	NOUN
ejpam-6749	1050	3	.	.	PUNCT
ejpam-6749	1051	1	brooks	brooks	PROPN
ejpam-6749	1051	2	/	/	SYM
ejpam-6749	1051	3	cole	cole	PROPN
ejpam-6749	1051	4	,	,	PUNCT
ejpam-6749	1051	5	2010	2010	NUM
ejpam-6749	1051	6	.	.	PUNCT
ejpam-6749	1052	1	[	[	X
ejpam-6749	1052	2	54	54	NUM
ejpam-6749	1052	3	]	]	PUNCT
ejpam-6749	1052	4	b.	b.	PROPN
ejpam-6749	1052	5	sturmfels	sturmfel	NOUN
ejpam-6749	1052	6	.	.	PUNCT
ejpam-6749	1053	1	solving	solve	VERB
ejpam-6749	1053	2	systems	system	NOUN
ejpam-6749	1053	3	of	of	ADP
ejpam-6749	1053	4	polynomial	polynomial	ADJ
ejpam-6749	1053	5	equations	equation	NOUN
ejpam-6749	1053	6	.	.	PUNCT
ejpam-6749	1054	1	american	american	PROPN
ejpam-6749	1054	2	mathematical	mathematical	PROPN
ejpam-6749	1054	3	society	society	NOUN
ejpam-6749	1054	4	,	,	PUNCT
ejpam-6749	1054	5	2002	2002	NUM
ejpam-6749	1054	6	.	.	PUNCT
ejpam-6749	1055	1	[	[	X
ejpam-6749	1055	2	55	55	NUM
ejpam-6749	1055	3	]	]	X
ejpam-6749	1055	4	r.	r.	PROPN
ejpam-6749	1055	5	hartshorne	hartshorne	PROPN
ejpam-6749	1055	6	.	.	PUNCT
ejpam-6749	1056	1	algebraic	algebraic	ADJ
ejpam-6749	1056	2	geometry	geometry	NOUN
ejpam-6749	1056	3	.	.	PUNCT
ejpam-6749	1057	1	springer	springer	NOUN
ejpam-6749	1057	2	-	-	PUNCT
ejpam-6749	1057	3	verlag	verlag	PROPN
ejpam-6749	1057	4	,	,	PUNCT
ejpam-6749	1057	5	1977	1977	NUM
ejpam-6749	1057	6	.	.	PUNCT
ejpam-6749	1058	1	[	[	X
ejpam-6749	1058	2	56	56	NUM
ejpam-6749	1058	3	]	]	X
ejpam-6749	1058	4	w.	w.	PROPN
ejpam-6749	1058	5	hahn	hahn	PROPN
ejpam-6749	1058	6	.	.	PUNCT
ejpam-6749	1059	1	stability	stability	NOUN
ejpam-6749	1059	2	of	of	ADP
ejpam-6749	1059	3	motion	motion	NOUN
ejpam-6749	1059	4	.	.	PUNCT
ejpam-6749	1060	1	springer	springer	NOUN
ejpam-6749	1060	2	-	-	PUNCT
ejpam-6749	1060	3	verlag	verlag	PROPN
ejpam-6749	1060	4	,	,	PUNCT
ejpam-6749	1060	5	1967	1967	NUM
ejpam-6749	1060	6	.	.	PUNCT
ejpam-6749	1061	1	[	[	X
ejpam-6749	1061	2	57	57	NUM
ejpam-6749	1061	3	]	]	PUNCT
ejpam-6749	1061	4	j.	j.	PROPN
ejpam-6749	1061	5	p.	p.	PROPN
ejpam-6749	1061	6	lasalle	lasalle	PROPN
ejpam-6749	1061	7	.	.	PUNCT
ejpam-6749	1062	1	the	the	DET
ejpam-6749	1062	2	stability	stability	NOUN
ejpam-6749	1062	3	of	of	ADP
ejpam-6749	1062	4	dynamical	dynamical	ADJ
ejpam-6749	1062	5	systems	system	NOUN
ejpam-6749	1062	6	.	.	PUNCT
ejpam-6749	1063	1	siam	siam	PROPN
ejpam-6749	1063	2	,	,	PUNCT
ejpam-6749	1063	3	1976	1976	NUM
ejpam-6749	1063	4	.	.	PUNCT
ejpam-6749	1064	1	[	[	X
ejpam-6749	1064	2	58	58	NUM
ejpam-6749	1064	3	]	]	PUNCT
ejpam-6749	1064	4	h.	h.	PROPN
ejpam-6749	1064	5	k.	k.	PROPN
ejpam-6749	1064	6	khalil	khalil	PROPN
ejpam-6749	1064	7	.	.	PUNCT
ejpam-6749	1065	1	nonlinear	nonlinear	ADJ
ejpam-6749	1065	2	systems	systems	PROPN
ejpam-6749	1065	3	.	.	PUNCT
ejpam-6749	1066	1	prentice	prentice	PROPN
ejpam-6749	1066	2	hall	hall	PROPN
ejpam-6749	1066	3	,	,	PUNCT
ejpam-6749	1066	4	2002	2002	NUM
ejpam-6749	1066	5	.	.	PUNCT
ejpam-6749	1067	1	m.	m.	NOUN
ejpam-6749	1067	2	zorom	zorom	NOUN
ejpam-6749	1067	3	et	et	PROPN
ejpam-6749	1067	4	al	al	PROPN
ejpam-6749	1067	5	.	.	PUNCT
ejpam-6749	1067	6	/	/	SYM
ejpam-6749	1067	7	eur	eur	PROPN
ejpam-6749	1067	8	.	.	PUNCT
ejpam-6749	1068	1	j.	j.	PROPN
ejpam-6749	1068	2	pure	pure	PROPN
ejpam-6749	1068	3	appl	appl	PROPN
ejpam-6749	1068	4	.	.	PROPN
ejpam-6749	1068	5	math	math	PROPN
ejpam-6749	1068	6	,	,	PUNCT
ejpam-6749	1068	7	18	18	NUM
ejpam-6749	1068	8	(	(	PUNCT
ejpam-6749	1068	9	4	4	NUM
ejpam-6749	1068	10	)	)	PUNCT
ejpam-6749	1068	11	(	(	PUNCT
ejpam-6749	1068	12	2025	2025	NUM
ejpam-6749	1068	13	)	)	PUNCT
ejpam-6749	1068	14	,	,	PUNCT
ejpam-6749	1068	15	6749	6749	NUM
ejpam-6749	1068	16	44	44	NUM
ejpam-6749	1068	17	of	of	ADP
ejpam-6749	1068	18	47	47	NUM
ejpam-6749	1069	1	[	[	X
ejpam-6749	1069	2	59	59	NUM
ejpam-6749	1069	3	]	]	PUNCT
ejpam-6749	1069	4	a.	a.	NOUN
ejpam-6749	1069	5	m.	m.	NOUN
ejpam-6749	1069	6	lyapunov	lyapunov	PROPN
ejpam-6749	1069	7	.	.	PUNCT
ejpam-6749	1070	1	the	the	DET
ejpam-6749	1070	2	general	general	ADJ
ejpam-6749	1070	3	problem	problem	NOUN
ejpam-6749	1070	4	of	of	ADP
ejpam-6749	1070	5	the	the	DET
ejpam-6749	1070	6	stability	stability	NOUN
ejpam-6749	1070	7	of	of	ADP
ejpam-6749	1070	8	motion	motion	NOUN
ejpam-6749	1070	9	.	.	PUNCT
ejpam-6749	1071	1	taylor	taylor	PROPN
ejpam-6749	1071	2	&	&	CCONJ
ejpam-6749	1071	3	francis	francis	PROPN
ejpam-6749	1071	4	,	,	PUNCT
ejpam-6749	1071	5	1992	1992	NUM
ejpam-6749	1071	6	.	.	PUNCT
ejpam-6749	1072	1	[	[	X
ejpam-6749	1072	2	60	60	NUM
ejpam-6749	1072	3	]	]	X
ejpam-6749	1072	4	r.	r.	PROPN
ejpam-6749	1072	5	a.	a.	PROPN
ejpam-6749	1072	6	horn	horn	PROPN
ejpam-6749	1072	7	and	and	CCONJ
ejpam-6749	1072	8	c.	c.	PROPN
ejpam-6749	1072	9	r.	r.	PROPN
ejpam-6749	1072	10	johnson	johnson	PROPN
ejpam-6749	1072	11	.	.	PUNCT
ejpam-6749	1073	1	matrix	matrix	NOUN
ejpam-6749	1073	2	analysis	analysis	NOUN
ejpam-6749	1073	3	.	.	PUNCT
ejpam-6749	1074	1	cambridge	cambridge	PROPN
ejpam-6749	1074	2	university	university	PROPN
ejpam-6749	1074	3	press	press	NOUN
ejpam-6749	1074	4	,	,	PUNCT
ejpam-6749	1074	5	2012	2012	NUM
ejpam-6749	1074	6	.	.	PUNCT
ejpam-6749	1075	1	[	[	X
ejpam-6749	1075	2	61	61	NUM
ejpam-6749	1075	3	]	]	PUNCT
ejpam-6749	1075	4	a.	a.	NOUN
ejpam-6749	1075	5	korobeinikov	korobeinikov	PROPN
ejpam-6749	1075	6	and	and	CCONJ
ejpam-6749	1075	7	g.	g.	PROPN
ejpam-6749	1075	8	c.	c.	PROPN
ejpam-6749	1075	9	wake	wake	PROPN
ejpam-6749	1075	10	.	.	PUNCT
ejpam-6749	1076	1	lyapunov	lyapunov	ADJ
ejpam-6749	1076	2	functions	function	NOUN
ejpam-6749	1076	3	and	and	CCONJ
ejpam-6749	1076	4	global	global	ADJ
ejpam-6749	1076	5	stability	stability	NOUN
ejpam-6749	1076	6	for	for	ADP
ejpam-6749	1076	7	sir	sir	NOUN
ejpam-6749	1076	8	,	,	PUNCT
ejpam-6749	1076	9	sirs	sir	NOUN
ejpam-6749	1076	10	,	,	PUNCT
ejpam-6749	1076	11	and	and	CCONJ
ejpam-6749	1076	12	sis	sis	PRON
ejpam-6749	1076	13	epidemiological	epidemiological	ADJ
ejpam-6749	1076	14	models	model	NOUN
ejpam-6749	1076	15	.	.	PUNCT
ejpam-6749	1077	1	applied	apply	VERB
ejpam-6749	1077	2	mathematics	mathematics	NOUN
ejpam-6749	1077	3	letters	letter	NOUN
ejpam-6749	1077	4	,	,	PUNCT
ejpam-6749	1077	5	15(8):955–960	15(8):955–960	PROPN
ejpam-6749	1077	6	,	,	PUNCT
ejpam-6749	1077	7	2002	2002	NUM
ejpam-6749	1077	8	.	.	PUNCT
ejpam-6749	1078	1	[	[	X
ejpam-6749	1078	2	62	62	NUM
ejpam-6749	1078	3	]	]	PUNCT
ejpam-6749	1078	4	j.	j.	PROPN
ejpam-6749	1078	5	carr	carr	PROPN
ejpam-6749	1078	6	.	.	PUNCT
ejpam-6749	1079	1	applications	application	NOUN
ejpam-6749	1079	2	of	of	ADP
ejpam-6749	1079	3	centre	centre	NOUN
ejpam-6749	1079	4	manifold	manifold	ADJ
ejpam-6749	1079	5	theory	theory	NOUN
ejpam-6749	1079	6	.	.	PUNCT
ejpam-6749	1080	1	springer	springer	NOUN
ejpam-6749	1080	2	-	-	PUNCT
ejpam-6749	1080	3	verlag	verlag	PROPN
ejpam-6749	1080	4	,	,	PUNCT
ejpam-6749	1080	5	1981	1981	NUM
ejpam-6749	1080	6	.	.	PUNCT
ejpam-6749	1081	1	[	[	X
ejpam-6749	1081	2	63	63	NUM
ejpam-6749	1081	3	]	]	PUNCT
ejpam-6749	1081	4	j.	j.	PROPN
ejpam-6749	1081	5	guckenheimer	guckenheimer	PROPN
ejpam-6749	1081	6	and	and	CCONJ
ejpam-6749	1081	7	p.	p.	PROPN
ejpam-6749	1081	8	holmes	holmes	PROPN
ejpam-6749	1081	9	.	.	PUNCT
ejpam-6749	1082	1	nonlinear	nonlinear	ADJ
ejpam-6749	1082	2	oscillations	oscillation	NOUN
ejpam-6749	1082	3	,	,	PUNCT
ejpam-6749	1082	4	dynamical	dynamical	ADJ
ejpam-6749	1082	5	systems	system	NOUN
ejpam-6749	1082	6	,	,	PUNCT
ejpam-6749	1082	7	and	and	CCONJ
ejpam-6749	1082	8	bifurcations	bifurcation	NOUN
ejpam-6749	1082	9	of	of	ADP
ejpam-6749	1082	10	vector	vector	NOUN
ejpam-6749	1082	11	fields	field	NOUN
ejpam-6749	1082	12	.	.	PUNCT
ejpam-6749	1083	1	springer	springer	NOUN
ejpam-6749	1083	2	science	science	PROPN
ejpam-6749	1083	3	&	&	CCONJ
ejpam-6749	1083	4	business	business	NOUN
ejpam-6749	1083	5	media	medium	NOUN
ejpam-6749	1083	6	,	,	PUNCT
ejpam-6749	1083	7	2013	2013	NUM
ejpam-6749	1083	8	.	.	PUNCT
ejpam-6749	1084	1	[	[	X
ejpam-6749	1084	2	64	64	NUM
ejpam-6749	1084	3	]	]	SYM
ejpam-6749	1084	4	a.b	a.b	PROPN
ejpam-6749	1084	5	.	.	PROPN
ejpam-6749	1084	6	gumel	gumel	PROPN
ejpam-6749	1084	7	.	.	PUNCT
ejpam-6749	1085	1	causes	cause	NOUN
ejpam-6749	1085	2	of	of	ADP
ejpam-6749	1085	3	backward	backward	ADJ
ejpam-6749	1085	4	bifurcations	bifurcation	NOUN
ejpam-6749	1085	5	in	in	ADP
ejpam-6749	1085	6	some	some	DET
ejpam-6749	1085	7	epidemiological	epidemiological	ADJ
ejpam-6749	1085	8	models	model	NOUN
ejpam-6749	1085	9	.	.	PUNCT
ejpam-6749	1086	1	journal	journal	NOUN
ejpam-6749	1086	2	of	of	ADP
ejpam-6749	1086	3	mathematical	mathematical	ADJ
ejpam-6749	1086	4	analysis	analysis	NOUN
ejpam-6749	1086	5	and	and	CCONJ
ejpam-6749	1086	6	applications	application	NOUN
ejpam-6749	1086	7	,	,	PUNCT
ejpam-6749	1086	8	395(1):355–365	395(1):355–365	NUM
ejpam-6749	1086	9	,	,	PUNCT
ejpam-6749	1086	10	2012	2012	NUM
ejpam-6749	1086	11	.	.	PUNCT
ejpam-6749	1087	1	[	[	X
ejpam-6749	1087	2	65	65	NUM
ejpam-6749	1087	3	]	]	X
ejpam-6749	1087	4	i.	i.	PROPN
ejpam-6749	1087	5	m.	m.	PROPN
ejpam-6749	1087	6	sobol	sobol	PROPN
ejpam-6749	1087	7	.	.	PUNCT
ejpam-6749	1088	1	global	global	ADJ
ejpam-6749	1088	2	sensitivity	sensitivity	NOUN
ejpam-6749	1088	3	indices	indice	VERB
ejpam-6749	1088	4	for	for	ADP
ejpam-6749	1088	5	nonlinear	nonlinear	ADJ
ejpam-6749	1088	6	mathematical	mathematical	ADJ
ejpam-6749	1088	7	models	model	NOUN
ejpam-6749	1088	8	and	and	CCONJ
ejpam-6749	1088	9	their	their	PRON
ejpam-6749	1088	10	monte	monte	PROPN
ejpam-6749	1088	11	carlo	carlo	NOUN
ejpam-6749	1088	12	estimates	estimate	NOUN
ejpam-6749	1088	13	.	.	PUNCT
ejpam-6749	1089	1	mathematics	mathematic	NOUN
ejpam-6749	1089	2	and	and	CCONJ
ejpam-6749	1089	3	computers	computer	NOUN
ejpam-6749	1089	4	in	in	ADP
ejpam-6749	1089	5	simulation	simulation	NOUN
ejpam-6749	1089	6	,	,	PUNCT
ejpam-6749	1089	7	55(1	55(1	NOUN
ejpam-6749	1089	8	-	-	SYM
ejpam-6749	1089	9	3):271–280	3):271–280	NUM
ejpam-6749	1089	10	,	,	PUNCT
ejpam-6749	1089	11	2001	2001	NUM
ejpam-6749	1089	12	.	.	PUNCT
ejpam-6749	1090	1	[	[	X
ejpam-6749	1090	2	66	66	NUM
ejpam-6749	1090	3	]	]	PUNCT
ejpam-6749	1090	4	a.	a.	NOUN
ejpam-6749	1090	5	saltelli	saltelli	PROPN
ejpam-6749	1090	6	,	,	PUNCT
ejpam-6749	1090	7	m.	m.	NOUN
ejpam-6749	1090	8	ratto	ratto	NOUN
ejpam-6749	1090	9	,	,	PUNCT
ejpam-6749	1090	10	t.	t.	PROPN
ejpam-6749	1090	11	andres	andres	PROPN
ejpam-6749	1090	12	,	,	PUNCT
ejpam-6749	1090	13	f.	f.	PROPN
ejpam-6749	1090	14	campolongo	campolongo	PROPN
ejpam-6749	1090	15	,	,	PUNCT
ejpam-6749	1090	16	j.	j.	PROPN
ejpam-6749	1090	17	cariboni	cariboni	PROPN
ejpam-6749	1090	18	,	,	PUNCT
ejpam-6749	1090	19	d.	d.	PROPN
ejpam-6749	1090	20	gatelli	gatelli	PROPN
ejpam-6749	1090	21	,	,	PUNCT
ejpam-6749	1090	22	and	and	CCONJ
ejpam-6749	1090	23	s.	s.	PROPN
ejpam-6749	1090	24	tarantola	tarantola	PROPN
ejpam-6749	1090	25	.	.	PUNCT
ejpam-6749	1091	1	global	global	ADJ
ejpam-6749	1091	2	sensitivity	sensitivity	NOUN
ejpam-6749	1091	3	analysis	analysis	NOUN
ejpam-6749	1091	4	:	:	PUNCT
ejpam-6749	1091	5	the	the	DET
ejpam-6749	1091	6	primer	primer	NOUN
ejpam-6749	1091	7	.	.	PUNCT
ejpam-6749	1092	1	john	john	PROPN
ejpam-6749	1092	2	wiley	wiley	PROPN
ejpam-6749	1092	3	&	&	CCONJ
ejpam-6749	1092	4	sons	son	NOUN
ejpam-6749	1092	5	,	,	PUNCT
ejpam-6749	1092	6	2008	2008	NUM
ejpam-6749	1092	7	.	.	PUNCT
ejpam-6749	1093	1	[	[	X
ejpam-6749	1093	2	67	67	NUM
ejpam-6749	1093	3	]	]	X
ejpam-6749	1093	4	b.	b.	PROPN
ejpam-6749	1093	5	efron	efron	PROPN
ejpam-6749	1093	6	and	and	CCONJ
ejpam-6749	1093	7	c.	c.	PROPN
ejpam-6749	1093	8	stein	stein	PROPN
ejpam-6749	1093	9	.	.	PUNCT
ejpam-6749	1094	1	the	the	DET
ejpam-6749	1094	2	jackknife	jackknife	NOUN
ejpam-6749	1094	3	estimate	estimate	NOUN
ejpam-6749	1094	4	of	of	ADP
ejpam-6749	1094	5	variance	variance	NOUN
ejpam-6749	1094	6	.	.	PUNCT
ejpam-6749	1095	1	the	the	DET
ejpam-6749	1095	2	annals	annal	NOUN
ejpam-6749	1095	3	of	of	ADP
ejpam-6749	1095	4	statistics	statistic	NOUN
ejpam-6749	1095	5	,	,	PUNCT
ejpam-6749	1095	6	9(3):586–596	9(3):586–596	NOUN
ejpam-6749	1095	7	,	,	PUNCT
ejpam-6749	1095	8	1981	1981	NUM
ejpam-6749	1095	9	.	.	PUNCT
ejpam-6749	1096	1	[	[	X
ejpam-6749	1096	2	68	68	NUM
ejpam-6749	1096	3	]	]	X
ejpam-6749	1096	4	d.	d.	PROPN
ejpam-6749	1096	5	williams	williams	PROPN
ejpam-6749	1096	6	.	.	PUNCT
ejpam-6749	1097	1	probability	probability	PROPN
ejpam-6749	1097	2	with	with	ADP
ejpam-6749	1097	3	martingales	martingale	NOUN
ejpam-6749	1097	4	.	.	PUNCT
ejpam-6749	1098	1	cambridge	cambridge	PROPN
ejpam-6749	1098	2	university	university	PROPN
ejpam-6749	1098	3	press	press	NOUN
ejpam-6749	1098	4	,	,	PUNCT
ejpam-6749	1098	5	1991	1991	NUM
ejpam-6749	1098	6	.	.	PUNCT
ejpam-6749	1099	1	[	[	X
ejpam-6749	1099	2	69	69	NUM
ejpam-6749	1099	3	]	]	X
ejpam-6749	1099	4	f.	f.	PROPN
ejpam-6749	1099	5	riesz	riesz	PROPN
ejpam-6749	1099	6	and	and	CCONJ
ejpam-6749	1099	7	b.	b.	PROPN
ejpam-6749	1099	8	sz.-nagy	sz.-nagy	PROPN
ejpam-6749	1099	9	.	.	PUNCT
ejpam-6749	1100	1	functional	functional	ADJ
ejpam-6749	1100	2	analysis	analysis	NOUN
ejpam-6749	1100	3	.	.	PUNCT
ejpam-6749	1101	1	dover	dover	PROPN
ejpam-6749	1101	2	publications	publication	NOUN
ejpam-6749	1101	3	,	,	PUNCT
ejpam-6749	1101	4	1990	1990	NUM
ejpam-6749	1101	5	.	.	PUNCT
ejpam-6749	1102	1	[	[	X
ejpam-6749	1102	2	70	70	X
ejpam-6749	1102	3	]	]	X
ejpam-6749	1102	4	p.	p.	PROPN
ejpam-6749	1102	5	r.	r.	PROPN
ejpam-6749	1102	6	halmos	halmos	PROPN
ejpam-6749	1102	7	.	.	PUNCT
ejpam-6749	1103	1	measure	measure	NOUN
ejpam-6749	1103	2	theory	theory	NOUN
ejpam-6749	1103	3	.	.	PUNCT
ejpam-6749	1104	1	d.	d.	PROPN
ejpam-6749	1104	2	van	van	PROPN
ejpam-6749	1104	3	nostrand	nostrand	PROPN
ejpam-6749	1104	4	company	company	NOUN
ejpam-6749	1104	5	,	,	PUNCT
ejpam-6749	1104	6	1950	1950	NUM
ejpam-6749	1104	7	.	.	PUNCT
ejpam-6749	1105	1	[	[	X
ejpam-6749	1105	2	71	71	NUM
ejpam-6749	1105	3	]	]	PUNCT
ejpam-6749	1105	4	w.	w.	NOUN
ejpam-6749	1105	5	feller	feller	PROPN
ejpam-6749	1105	6	.	.	PUNCT
ejpam-6749	1106	1	an	an	DET
ejpam-6749	1106	2	introduction	introduction	NOUN
ejpam-6749	1106	3	to	to	ADP
ejpam-6749	1106	4	probability	probability	NOUN
ejpam-6749	1106	5	theory	theory	NOUN
ejpam-6749	1106	6	and	and	CCONJ
ejpam-6749	1106	7	its	its	PRON
ejpam-6749	1106	8	applications	application	NOUN
ejpam-6749	1106	9	.	.	PUNCT
ejpam-6749	1107	1	john	john	PROPN
ejpam-6749	1107	2	wiley	wiley	PROPN
ejpam-6749	1107	3	&	&	CCONJ
ejpam-6749	1107	4	sons	son	NOUN
ejpam-6749	1107	5	,	,	PUNCT
ejpam-6749	1107	6	2008	2008	NUM
ejpam-6749	1107	7	.	.	PUNCT
ejpam-6749	1108	1	[	[	X
ejpam-6749	1108	2	72	72	NUM
ejpam-6749	1108	3	]	]	X
ejpam-6749	1108	4	h.	h.	PROPN
ejpam-6749	1108	5	cramér	cramér	PROPN
ejpam-6749	1108	6	.	.	PUNCT
ejpam-6749	1109	1	mathematical	mathematical	ADJ
ejpam-6749	1109	2	methods	method	NOUN
ejpam-6749	1109	3	of	of	ADP
ejpam-6749	1109	4	statistics	statistic	NOUN
ejpam-6749	1109	5	.	.	PUNCT
ejpam-6749	1110	1	princeton	princeton	PROPN
ejpam-6749	1110	2	university	university	PROPN
ejpam-6749	1110	3	press	press	NOUN
ejpam-6749	1110	4	,	,	PUNCT
ejpam-6749	1110	5	2016	2016	NUM
ejpam-6749	1110	6	.	.	PUNCT
ejpam-6749	1111	1	[	[	X
ejpam-6749	1111	2	73	73	NUM
ejpam-6749	1111	3	]	]	PUNCT
ejpam-6749	1111	4	w.	w.	PROPN
ejpam-6749	1111	5	hoeffding	hoeffding	PROPN
ejpam-6749	1111	6	.	.	PUNCT
ejpam-6749	1112	1	a	a	DET
ejpam-6749	1112	2	class	class	NOUN
ejpam-6749	1112	3	of	of	ADP
ejpam-6749	1112	4	statistics	statistic	NOUN
ejpam-6749	1112	5	with	with	ADP
ejpam-6749	1112	6	asymptotically	asymptotically	ADV
ejpam-6749	1112	7	normal	normal	ADJ
ejpam-6749	1112	8	distribution	distribution	NOUN
ejpam-6749	1112	9	.	.	PUNCT
ejpam-6749	1113	1	the	the	DET
ejpam-6749	1113	2	annals	annal	NOUN
ejpam-6749	1113	3	of	of	ADP
ejpam-6749	1113	4	mathematical	mathematical	ADJ
ejpam-6749	1113	5	statistics	statistic	NOUN
ejpam-6749	1113	6	,	,	PUNCT
ejpam-6749	1113	7	19(3):293–325	19(3):293–325	NUM
ejpam-6749	1113	8	,	,	PUNCT
ejpam-6749	1113	9	1948	1948	NUM
ejpam-6749	1113	10	.	.	PUNCT
ejpam-6749	1114	1	[	[	X
ejpam-6749	1114	2	74	74	NUM
ejpam-6749	1114	3	]	]	PUNCT
ejpam-6749	1114	4	a.	a.	PROPN
ejpam-6749	1114	5	b.	b.	PROPN
ejpam-6749	1114	6	owen	owen	PROPN
ejpam-6749	1114	7	.	.	PUNCT
ejpam-6749	1115	1	better	well	ADJ
ejpam-6749	1115	2	estimation	estimation	NOUN
ejpam-6749	1115	3	of	of	ADP
ejpam-6749	1115	4	small	small	ADJ
ejpam-6749	1115	5	sobol	sobol	NOUN
ejpam-6749	1115	6	’	'	PUNCT
ejpam-6749	1115	7	sensitivity	sensitivity	NOUN
ejpam-6749	1115	8	indices	index	NOUN
ejpam-6749	1115	9	.	.	PUNCT
ejpam-6749	1116	1	acm	acm	NOUN
ejpam-6749	1116	2	transactions	transaction	NOUN
ejpam-6749	1116	3	on	on	ADP
ejpam-6749	1116	4	modeling	modeling	NOUN
ejpam-6749	1116	5	and	and	CCONJ
ejpam-6749	1116	6	computer	computer	NOUN
ejpam-6749	1116	7	simulation	simulation	NOUN
ejpam-6749	1116	8	,	,	PUNCT
ejpam-6749	1116	9	23(2):1–17	23(2):1–17	NUM
ejpam-6749	1116	10	,	,	PUNCT
ejpam-6749	1116	11	2013	2013	NUM
ejpam-6749	1116	12	.	.	PUNCT
ejpam-6749	1117	1	[	[	X
ejpam-6749	1117	2	75	75	NUM
ejpam-6749	1117	3	]	]	PUNCT
ejpam-6749	1117	4	c.	c.	PROPN
ejpam-6749	1117	5	xu	xu	PROPN
ejpam-6749	1117	6	and	and	CCONJ
ejpam-6749	1117	7	g.	g.	PROPN
ejpam-6749	1117	8	z.	z.	PROPN
ejpam-6749	1117	9	gertner	gertner	PROPN
ejpam-6749	1117	10	.	.	PUNCT
ejpam-6749	1118	1	uncertainty	uncertainty	NOUN
ejpam-6749	1118	2	and	and	CCONJ
ejpam-6749	1118	3	sensitivity	sensitivity	NOUN
ejpam-6749	1118	4	analysis	analysis	NOUN
ejpam-6749	1118	5	for	for	ADP
ejpam-6749	1118	6	models	model	NOUN
ejpam-6749	1118	7	with	with	ADP
ejpam-6749	1118	8	correlated	correlate	VERB
ejpam-6749	1118	9	parameters	parameter	NOUN
ejpam-6749	1118	10	.	.	PUNCT
ejpam-6749	1119	1	reliability	reliability	NOUN
ejpam-6749	1119	2	engineering	engineering	NOUN
ejpam-6749	1119	3	&	&	CCONJ
ejpam-6749	1119	4	system	system	NOUN
ejpam-6749	1119	5	safety	safety	NOUN
ejpam-6749	1119	6	,	,	PUNCT
ejpam-6749	1119	7	93(10):1563–1573	93(10):1563–1573	NUM
ejpam-6749	1119	8	,	,	PUNCT
ejpam-6749	1119	9	2008	2008	NUM
ejpam-6749	1119	10	.	.	PUNCT
ejpam-6749	1120	1	[	[	X
ejpam-6749	1120	2	76	76	X
ejpam-6749	1120	3	]	]	X
ejpam-6749	1120	4	s.	s.	PROPN
ejpam-6749	1120	5	kucherenko	kucherenko	PROPN
ejpam-6749	1120	6	,	,	PUNCT
ejpam-6749	1120	7	m.	m.	PROPN
ejpam-6749	1120	8	rodriguez	rodriguez	NOUN
ejpam-6749	1120	9	-	-	PUNCT
ejpam-6749	1120	10	fernandez	fernandez	PROPN
ejpam-6749	1120	11	,	,	PUNCT
ejpam-6749	1120	12	c.	c.	PROPN
ejpam-6749	1120	13	pantelides	pantelide	NOUN
ejpam-6749	1120	14	,	,	PUNCT
ejpam-6749	1120	15	and	and	CCONJ
ejpam-6749	1120	16	n.	n.	NOUN
ejpam-6749	1120	17	shah	shah	PROPN
ejpam-6749	1120	18	.	.	PUNCT
ejpam-6749	1121	1	monte	monte	PROPN
ejpam-6749	1121	2	carlo	carlo	PROPN
ejpam-6749	1121	3	evaluation	evaluation	NOUN
ejpam-6749	1121	4	of	of	ADP
ejpam-6749	1121	5	derivative	derivative	NOUN
ejpam-6749	1121	6	-	-	PUNCT
ejpam-6749	1121	7	based	base	VERB
ejpam-6749	1121	8	global	global	ADJ
ejpam-6749	1121	9	sensitivity	sensitivity	NOUN
ejpam-6749	1121	10	measures	measure	NOUN
ejpam-6749	1121	11	.	.	PUNCT
ejpam-6749	1122	1	reliability	reliability	NOUN
ejpam-6749	1122	2	engineering	engineering	NOUN
ejpam-6749	1122	3	&	&	CCONJ
ejpam-6749	1122	4	system	system	NOUN
ejpam-6749	1122	5	safety	safety	NOUN
ejpam-6749	1122	6	,	,	PUNCT
ejpam-6749	1122	7	94(7):1135–1148	94(7):1135–1148	NUM
ejpam-6749	1122	8	,	,	PUNCT
ejpam-6749	1122	9	2009	2009	NUM
ejpam-6749	1122	10	.	.	PUNCT
ejpam-6749	1123	1	[	[	X
ejpam-6749	1123	2	77	77	NUM
ejpam-6749	1123	3	]	]	X
ejpam-6749	1123	4	r.	r.	PROPN
ejpam-6749	1123	5	l.	l.	PROPN
ejpam-6749	1123	6	iman	iman	PROPN
ejpam-6749	1123	7	and	and	CCONJ
ejpam-6749	1123	8	j.	j.	PROPN
ejpam-6749	1123	9	c.	c.	PROPN
ejpam-6749	1123	10	helton	helton	PROPN
ejpam-6749	1123	11	.	.	PUNCT
ejpam-6749	1124	1	an	an	DET
ejpam-6749	1124	2	investigation	investigation	NOUN
ejpam-6749	1124	3	of	of	ADP
ejpam-6749	1124	4	uncertainty	uncertainty	NOUN
ejpam-6749	1124	5	and	and	CCONJ
ejpam-6749	1124	6	sensitivity	sensitivity	NOUN
ejpam-6749	1124	7	analysis	analysis	NOUN
ejpam-6749	1124	8	techniques	technique	NOUN
ejpam-6749	1124	9	for	for	ADP
ejpam-6749	1124	10	computer	computer	NOUN
ejpam-6749	1124	11	models	model	NOUN
ejpam-6749	1124	12	.	.	PUNCT
ejpam-6749	1125	1	risk	risk	NOUN
ejpam-6749	1125	2	analysis	analysis	NOUN
ejpam-6749	1125	3	,	,	PUNCT
ejpam-6749	1125	4	8(1):71–90	8(1):71–90	NUM
ejpam-6749	1125	5	,	,	PUNCT
ejpam-6749	1125	6	1988	1988	NUM
ejpam-6749	1125	7	.	.	PUNCT
ejpam-6749	1126	1	[	[	X
ejpam-6749	1126	2	78	78	NUM
ejpam-6749	1126	3	]	]	X
ejpam-6749	1126	4	g.	g.	NOUN
ejpam-6749	1126	5	casella	casella	PROPN
ejpam-6749	1126	6	and	and	CCONJ
ejpam-6749	1126	7	r.	r.	PROPN
ejpam-6749	1126	8	l.	l.	PROPN
ejpam-6749	1126	9	berger	berger	PROPN
ejpam-6749	1126	10	.	.	PUNCT
ejpam-6749	1127	1	statistical	statistical	ADJ
ejpam-6749	1127	2	inference	inference	NOUN
ejpam-6749	1127	3	.	.	PUNCT
ejpam-6749	1128	1	duxbury	duxbury	PROPN
ejpam-6749	1128	2	press	press	PROPN
ejpam-6749	1128	3	,	,	PUNCT
ejpam-6749	1128	4	2002	2002	NUM
ejpam-6749	1128	5	.	.	PUNCT
ejpam-6749	1129	1	[	[	X
ejpam-6749	1129	2	79	79	NUM
ejpam-6749	1129	3	]	]	X
ejpam-6749	1129	4	n.	n.	PROPN
ejpam-6749	1129	5	l.	l.	PROPN
ejpam-6749	1129	6	johnson	johnson	PROPN
ejpam-6749	1129	7	,	,	PUNCT
ejpam-6749	1129	8	s.	s.	PROPN
ejpam-6749	1129	9	kotz	kotz	PROPN
ejpam-6749	1129	10	,	,	PUNCT
ejpam-6749	1129	11	and	and	CCONJ
ejpam-6749	1129	12	n.	n.	PROPN
ejpam-6749	1129	13	balakrishnan	balakrishnan	PROPN
ejpam-6749	1129	14	.	.	PUNCT
ejpam-6749	1130	1	continuous	continuous	ADJ
ejpam-6749	1130	2	univariate	univariate	ADJ
ejpam-6749	1130	3	distributions	distribution	NOUN
ejpam-6749	1130	4	.	.	PUNCT
ejpam-6749	1131	1	john	john	PROPN
ejpam-6749	1131	2	wiley	wiley	PROPN
ejpam-6749	1131	3	&	&	CCONJ
ejpam-6749	1131	4	sons	son	NOUN
ejpam-6749	1131	5	,	,	PUNCT
ejpam-6749	1131	6	1994	1994	NUM
ejpam-6749	1131	7	.	.	PUNCT
ejpam-6749	1132	1	[	[	X
ejpam-6749	1132	2	80	80	NUM
ejpam-6749	1132	3	]	]	X
ejpam-6749	1132	4	r.	r.	PROPN
ejpam-6749	1132	5	i.	i.	PROPN
ejpam-6749	1132	6	cukier	cukier	PROPN
ejpam-6749	1132	7	,	,	PUNCT
ejpam-6749	1132	8	c.	c.	PROPN
ejpam-6749	1132	9	m.	m.	PROPN
ejpam-6749	1132	10	fortuin	fortuin	PROPN
ejpam-6749	1132	11	,	,	PUNCT
ejpam-6749	1132	12	k.	k.	PROPN
ejpam-6749	1132	13	e.	e.	PROPN
ejpam-6749	1132	14	shuler	shuler	PROPN
ejpam-6749	1132	15	,	,	PUNCT
ejpam-6749	1132	16	a.	a.	PROPN
ejpam-6749	1132	17	g.	g.	PROPN
ejpam-6749	1132	18	petschek	petschek	PROPN
ejpam-6749	1132	19	,	,	PUNCT
ejpam-6749	1132	20	and	and	CCONJ
ejpam-6749	1132	21	j.	j.	PROPN
ejpam-6749	1132	22	h.	h.	PROPN
ejpam-6749	1132	23	schaibly	schaibly	PROPN
ejpam-6749	1132	24	.	.	PUNCT
ejpam-6749	1133	1	study	study	NOUN
ejpam-6749	1133	2	of	of	ADP
ejpam-6749	1133	3	the	the	DET
ejpam-6749	1133	4	sensitivity	sensitivity	NOUN
ejpam-6749	1133	5	of	of	ADP
ejpam-6749	1133	6	coupled	couple	VERB
ejpam-6749	1133	7	reaction	reaction	NOUN
ejpam-6749	1133	8	systems	system	NOUN
ejpam-6749	1133	9	to	to	ADP
ejpam-6749	1133	10	uncertainties	uncertainty	NOUN
ejpam-6749	1133	11	in	in	ADP
ejpam-6749	1133	12	rate	rate	NOUN
ejpam-6749	1133	13	coefficients	coefficient	NOUN
ejpam-6749	1133	14	.	.	PUNCT
ejpam-6749	1134	1	i	i	PRON
ejpam-6749	1134	2	theory	theory	VERB
ejpam-6749	1134	3	.	.	PUNCT
ejpam-6749	1135	1	the	the	DET
ejpam-6749	1135	2	journal	journal	PROPN
ejpam-6749	1135	3	of	of	ADP
ejpam-6749	1135	4	chemical	chemical	PROPN
ejpam-6749	1135	5	physics	physic	NOUN
ejpam-6749	1135	6	,	,	PUNCT
ejpam-6749	1135	7	59(8):3873–3878	59(8):3873–3878	NUM
ejpam-6749	1135	8	,	,	PUNCT
ejpam-6749	1135	9	1973	1973	NUM
ejpam-6749	1135	10	.	.	PUNCT
ejpam-6749	1136	1	[	[	X
ejpam-6749	1136	2	81	81	NUM
ejpam-6749	1136	3	]	]	PUNCT
ejpam-6749	1136	4	t.	t.	PROPN
ejpam-6749	1136	5	homma	homma	PROPN
ejpam-6749	1136	6	and	and	CCONJ
ejpam-6749	1136	7	a.	a.	PROPN
ejpam-6749	1136	8	saltelli	saltelli	PROPN
ejpam-6749	1136	9	.	.	PUNCT
ejpam-6749	1137	1	importance	importance	NOUN
ejpam-6749	1137	2	measures	measure	NOUN
ejpam-6749	1137	3	in	in	ADP
ejpam-6749	1137	4	global	global	ADJ
ejpam-6749	1137	5	sensitivity	sensitivity	NOUN
ejpam-6749	1137	6	analysis	analysis	NOUN
ejpam-6749	1137	7	of	of	ADP
ejpam-6749	1137	8	nonlinear	nonlinear	ADJ
ejpam-6749	1137	9	models	model	NOUN
ejpam-6749	1137	10	.	.	PUNCT
ejpam-6749	1138	1	reliability	reliability	NOUN
ejpam-6749	1138	2	engineering	engineering	NOUN
ejpam-6749	1138	3	&	&	CCONJ
ejpam-6749	1138	4	system	system	NOUN
ejpam-6749	1138	5	safety	safety	NOUN
ejpam-6749	1138	6	,	,	PUNCT
ejpam-6749	1138	7	52(1):1–17	52(1):1–17	NUM
ejpam-6749	1138	8	,	,	PUNCT
ejpam-6749	1138	9	1996	1996	NUM
ejpam-6749	1138	10	.	.	PUNCT
ejpam-6749	1139	1	[	[	X
ejpam-6749	1139	2	82	82	NUM
ejpam-6749	1139	3	]	]	PUNCT
ejpam-6749	1139	4	a.	a.	NOUN
ejpam-6749	1139	5	janon	janon	PROPN
ejpam-6749	1139	6	,	,	PUNCT
ejpam-6749	1139	7	t.	t.	PROPN
ejpam-6749	1139	8	klein	klein	PROPN
ejpam-6749	1139	9	,	,	PUNCT
ejpam-6749	1139	10	a.	a.	PROPN
ejpam-6749	1139	11	lagnoux	lagnoux	PROPN
ejpam-6749	1139	12	,	,	PUNCT
ejpam-6749	1139	13	m.	m.	NOUN
ejpam-6749	1139	14	nodet	nodet	NOUN
ejpam-6749	1139	15	,	,	PUNCT
ejpam-6749	1139	16	and	and	CCONJ
ejpam-6749	1139	17	c.	c.	PROPN
ejpam-6749	1139	18	prieur	prieur	PROPN
ejpam-6749	1139	19	.	.	PUNCT
ejpam-6749	1140	1	asymptotic	asymptotic	ADJ
ejpam-6749	1140	2	normality	normality	NOUN
ejpam-6749	1140	3	and	and	CCONJ
ejpam-6749	1140	4	m.	m.	NOUN
ejpam-6749	1140	5	zorom	zorom	NOUN
ejpam-6749	1140	6	et	et	PROPN
ejpam-6749	1140	7	al	al	PROPN
ejpam-6749	1140	8	.	.	PUNCT
ejpam-6749	1140	9	/	/	SYM
ejpam-6749	1140	10	eur	eur	PROPN
ejpam-6749	1140	11	.	.	PUNCT
ejpam-6749	1141	1	j.	j.	PROPN
ejpam-6749	1141	2	pure	pure	PROPN
ejpam-6749	1141	3	appl	appl	PROPN
ejpam-6749	1141	4	.	.	PROPN
ejpam-6749	1141	5	math	math	PROPN
ejpam-6749	1141	6	,	,	PUNCT
ejpam-6749	1141	7	18	18	NUM
ejpam-6749	1141	8	(	(	PUNCT
ejpam-6749	1141	9	4	4	NUM
ejpam-6749	1141	10	)	)	PUNCT
ejpam-6749	1141	11	(	(	PUNCT
ejpam-6749	1141	12	2025	2025	NUM
ejpam-6749	1141	13	)	)	PUNCT
ejpam-6749	1141	14	,	,	PUNCT
ejpam-6749	1141	15	6749	6749	NUM
ejpam-6749	1141	16	45	45	NUM
ejpam-6749	1141	17	of	of	ADP
ejpam-6749	1141	18	47	47	NUM
ejpam-6749	1141	19	efficiency	efficiency	NOUN
ejpam-6749	1141	20	of	of	ADP
ejpam-6749	1141	21	two	two	NUM
ejpam-6749	1141	22	sobol	sobol	NOUN
ejpam-6749	1141	23	index	index	NOUN
ejpam-6749	1141	24	estimators	estimator	NOUN
ejpam-6749	1141	25	.	.	PUNCT
ejpam-6749	1142	1	esaim	esaim	NOUN
ejpam-6749	1142	2	:	:	PUNCT
ejpam-6749	1142	3	probability	probability	NOUN
ejpam-6749	1142	4	and	and	CCONJ
ejpam-6749	1142	5	statistics	statistic	NOUN
ejpam-6749	1142	6	,	,	PUNCT
ejpam-6749	1142	7	18:342	18:342	NUM
ejpam-6749	1142	8	–	–	PUNCT
ejpam-6749	1142	9	364	364	NUM
ejpam-6749	1142	10	,	,	PUNCT
ejpam-6749	1142	11	2014	2014	NUM
ejpam-6749	1142	12	.	.	PUNCT
ejpam-6749	1143	1	[	[	X
ejpam-6749	1143	2	83	83	NUM
ejpam-6749	1143	3	]	]	PUNCT
ejpam-6749	1143	4	a.	a.	NOUN
ejpam-6749	1143	5	saltelli	saltelli	PROPN
ejpam-6749	1143	6	.	.	PUNCT
ejpam-6749	1144	1	making	make	VERB
ejpam-6749	1144	2	best	good	ADJ
ejpam-6749	1144	3	use	use	NOUN
ejpam-6749	1144	4	of	of	ADP
ejpam-6749	1144	5	model	model	NOUN
ejpam-6749	1144	6	evaluations	evaluation	NOUN
ejpam-6749	1144	7	to	to	PART
ejpam-6749	1144	8	compute	compute	VERB
ejpam-6749	1144	9	sensitivity	sensitivity	NOUN
ejpam-6749	1144	10	indices	index	NOUN
ejpam-6749	1144	11	.	.	PUNCT
ejpam-6749	1145	1	computer	computer	NOUN
ejpam-6749	1145	2	physics	physics	NOUN
ejpam-6749	1145	3	communications	communication	NOUN
ejpam-6749	1145	4	,	,	PUNCT
ejpam-6749	1145	5	145(2):280–297	145(2):280–297	PROPN
ejpam-6749	1145	6	,	,	PUNCT
ejpam-6749	1145	7	2002	2002	NUM
ejpam-6749	1145	8	.	.	PUNCT
ejpam-6749	1146	1	[	[	X
ejpam-6749	1146	2	84	84	NUM
ejpam-6749	1146	3	]	]	PUNCT
ejpam-6749	1146	4	a.	a.	NOUN
ejpam-6749	1146	5	w.	w.	PROPN
ejpam-6749	1146	6	van	van	PROPN
ejpam-6749	1146	7	der	der	PROPN
ejpam-6749	1146	8	vaart	vaart	PROPN
ejpam-6749	1146	9	and	and	CCONJ
ejpam-6749	1146	10	j.	j.	PROPN
ejpam-6749	1146	11	a.	a.	PROPN
ejpam-6749	1146	12	wellner	wellner	PROPN
ejpam-6749	1146	13	.	.	PUNCT
ejpam-6749	1147	1	weak	weak	ADJ
ejpam-6749	1147	2	convergence	convergence	NOUN
ejpam-6749	1147	3	and	and	CCONJ
ejpam-6749	1147	4	empirical	empirical	ADJ
ejpam-6749	1147	5	processes	process	NOUN
ejpam-6749	1147	6	:	:	PUNCT
ejpam-6749	1147	7	with	with	ADP
ejpam-6749	1147	8	applications	application	NOUN
ejpam-6749	1147	9	to	to	ADP
ejpam-6749	1147	10	statistics	statistic	NOUN
ejpam-6749	1147	11	.	.	PUNCT
ejpam-6749	1148	1	springer	springer	NOUN
ejpam-6749	1148	2	-	-	PUNCT
ejpam-6749	1148	3	verlag	verlag	PROPN
ejpam-6749	1148	4	,	,	PUNCT
ejpam-6749	1148	5	1996	1996	NUM
ejpam-6749	1148	6	.	.	PUNCT
ejpam-6749	1149	1	[	[	X
ejpam-6749	1149	2	85	85	NUM
ejpam-6749	1149	3	]	]	PUNCT
ejpam-6749	1149	4	p.	p.	PROPN
ejpam-6749	1149	5	billingsley	billingsley	PROPN
ejpam-6749	1149	6	.	.	PUNCT
ejpam-6749	1149	7	probability	probability	NOUN
ejpam-6749	1149	8	and	and	CCONJ
ejpam-6749	1149	9	measure	measure	NOUN
ejpam-6749	1149	10	.	.	PUNCT
ejpam-6749	1150	1	john	john	PROPN
ejpam-6749	1150	2	wiley	wiley	PROPN
ejpam-6749	1150	3	&	&	CCONJ
ejpam-6749	1150	4	sons	son	NOUN
ejpam-6749	1150	5	,	,	PUNCT
ejpam-6749	1150	6	2012	2012	NUM
ejpam-6749	1150	7	.	.	PUNCT
ejpam-6749	1151	1	[	[	X
ejpam-6749	1151	2	86	86	NUM
ejpam-6749	1151	3	]	]	PUNCT
ejpam-6749	1151	4	r.	r.	PROPN
ejpam-6749	1151	5	j.	j.	PROPN
ejpam-6749	1151	6	serfling	serfling	PROPN
ejpam-6749	1151	7	.	.	PUNCT
ejpam-6749	1152	1	approximation	approximation	NOUN
ejpam-6749	1152	2	theorems	theorem	NOUN
ejpam-6749	1152	3	of	of	ADP
ejpam-6749	1152	4	mathematical	mathematical	ADJ
ejpam-6749	1152	5	statistics	statistic	NOUN
ejpam-6749	1152	6	.	.	PUNCT
ejpam-6749	1153	1	john	john	PROPN
ejpam-6749	1153	2	wiley	wiley	PROPN
ejpam-6749	1153	3	&	&	CCONJ
ejpam-6749	1153	4	sons	son	NOUN
ejpam-6749	1153	5	,	,	PUNCT
ejpam-6749	1153	6	2009	2009	NUM
ejpam-6749	1153	7	.	.	PUNCT
ejpam-6749	1154	1	[	[	X
ejpam-6749	1154	2	87	87	NUM
ejpam-6749	1154	3	]	]	PUNCT
ejpam-6749	1154	4	a.	a.	PROPN
ejpam-6749	1154	5	w.	w.	PROPN
ejpam-6749	1154	6	van	van	PROPN
ejpam-6749	1154	7	der	der	PROPN
ejpam-6749	1154	8	vaart	vaart	PROPN
ejpam-6749	1154	9	.	.	PUNCT
ejpam-6749	1155	1	asymptotic	asymptotic	ADJ
ejpam-6749	1155	2	statistics	statistic	NOUN
ejpam-6749	1155	3	.	.	PUNCT
ejpam-6749	1156	1	cambridge	cambridge	PROPN
ejpam-6749	1156	2	university	university	PROPN
ejpam-6749	1156	3	press	press	NOUN
ejpam-6749	1156	4	,	,	PUNCT
ejpam-6749	1156	5	1998	1998	NUM
ejpam-6749	1156	6	.	.	PUNCT
ejpam-6749	1157	1	[	[	X
ejpam-6749	1157	2	88	88	NUM
ejpam-6749	1157	3	]	]	PUNCT
ejpam-6749	1157	4	m.	m.	NOUN
ejpam-6749	1157	5	j.	j.	PROPN
ejpam-6749	1157	6	jansen	jansen	PROPN
ejpam-6749	1157	7	.	.	PUNCT
ejpam-6749	1158	1	analysis	analysis	NOUN
ejpam-6749	1158	2	of	of	ADP
ejpam-6749	1158	3	variance	variance	NOUN
ejpam-6749	1158	4	designs	design	NOUN
ejpam-6749	1158	5	for	for	ADP
ejpam-6749	1158	6	model	model	NOUN
ejpam-6749	1158	7	output	output	NOUN
ejpam-6749	1158	8	.	.	PUNCT
ejpam-6749	1159	1	computer	computer	NOUN
ejpam-6749	1159	2	physics	physics	NOUN
ejpam-6749	1159	3	communications	communication	NOUN
ejpam-6749	1159	4	,	,	PUNCT
ejpam-6749	1159	5	117(1	117(1	NUM
ejpam-6749	1159	6	-	-	SYM
ejpam-6749	1159	7	2):35–43	2):35–43	NUM
ejpam-6749	1159	8	,	,	PUNCT
ejpam-6749	1159	9	1999	1999	NUM
ejpam-6749	1159	10	.	.	PUNCT
ejpam-6749	1160	1	[	[	X
ejpam-6749	1160	2	89	89	NUM
ejpam-6749	1160	3	]	]	SYM
ejpam-6749	1160	4	c.m	c.m	PROPN
ejpam-6749	1160	5	.	.	PROPN
ejpam-6749	1160	6	lemine	lemine	PROPN
ejpam-6749	1160	7	bellal	bellal	PROPN
ejpam-6749	1160	8	.	.	PUNCT
ejpam-6749	1161	1	contre	contre	NOUN
ejpam-6749	1161	2	le	le	X
ejpam-6749	1161	3	terrorisme	terrorisme	X
ejpam-6749	1161	4	en	en	X
ejpam-6749	1161	5	mauritanie	mauritanie	NOUN
ejpam-6749	1161	6	:	:	PUNCT
ejpam-6749	1161	7	la	la	PROPN
ejpam-6749	1161	8	déradicalisation	déradicalisation	PROPN
ejpam-6749	1161	9	des	des	PROPN
ejpam-6749	1161	10	extrémistes	extrémiste	NOUN
ejpam-6749	1161	11	.	.	PUNCT
ejpam-6749	1161	12	revue	revue	NOUN
ejpam-6749	1161	13	défense	défense	PROPN
ejpam-6749	1161	14	nationale	nationale	NOUN
ejpam-6749	1161	15	,	,	PUNCT
ejpam-6749	1161	16	779:47–52	779:47–52	NUM
ejpam-6749	1161	17	,	,	PUNCT
ejpam-6749	1161	18	2015	2015	NUM
ejpam-6749	1161	19	.	.	PUNCT
ejpam-6749	1162	1	[	[	X
ejpam-6749	1162	2	90	90	NUM
ejpam-6749	1162	3	]	]	PUNCT
ejpam-6749	1162	4	a.	a.	NOUN
ejpam-6749	1162	5	el	el	PROPN
ejpam-6749	1162	6	difraoui	difraoui	NOUN
ejpam-6749	1162	7	and	and	CCONJ
ejpam-6749	1162	8	m.	m.	NOUN
ejpam-6749	1162	9	uhlmann	uhlmann	PROPN
ejpam-6749	1162	10	.	.	PUNCT
ejpam-6749	1163	1	prévention	prévention	PROPN
ejpam-6749	1163	2	de	de	X
ejpam-6749	1163	3	la	la	PROPN
ejpam-6749	1163	4	radicalisation	radicalisation	NOUN
ejpam-6749	1163	5	et	et	NOUN
ejpam-6749	1163	6	déradicalisation	déradicalisation	NOUN
ejpam-6749	1163	7	:	:	PUNCT
ejpam-6749	1163	8	les	les	X
ejpam-6749	1163	9	modèles	modèle	NOUN
ejpam-6749	1163	10	allemand	allemand	PROPN
ejpam-6749	1163	11	,	,	PUNCT
ejpam-6749	1163	12	britannique	britannique	X
ejpam-6749	1163	13	et	et	NOUN
ejpam-6749	1163	14	danois	danois	PROPN
ejpam-6749	1163	15	.	.	PUNCT
ejpam-6749	1164	1	politique	politique	PROPN
ejpam-6749	1164	2	étrangère	étrangère	PROPN
ejpam-6749	1164	3	,	,	PUNCT
ejpam-6749	1164	4	pages	page	NOUN
ejpam-6749	1164	5	171–182	171–182	NUM
ejpam-6749	1164	6	,	,	PUNCT
ejpam-6749	1164	7	2015	2015	NUM
ejpam-6749	1164	8	.	.	PUNCT
ejpam-6749	1165	1	[	[	X
ejpam-6749	1165	2	91	91	NUM
ejpam-6749	1165	3	]	]	PUNCT
ejpam-6749	1165	4	m.	m.	NOUN
ejpam-6749	1165	5	zorom	zorom	PROPN
ejpam-6749	1165	6	,	,	PUNCT
ejpam-6749	1165	7	b.	b.	PROPN
ejpam-6749	1165	8	leye	leye	PROPN
ejpam-6749	1165	9	,	,	PUNCT
ejpam-6749	1165	10	s.m	s.m	PROPN
ejpam-6749	1165	11	.	.	PROPN
ejpam-6749	1165	12	coly	coly	PROPN
ejpam-6749	1165	13	,	,	PUNCT
ejpam-6749	1165	14	m.	m.	NOUN
ejpam-6749	1165	15	diop	diop	PROPN
ejpam-6749	1165	16	,	,	PUNCT
ejpam-6749	1165	17	g.a	g.a	PROPN
ejpam-6749	1165	18	.	.	PROPN
ejpam-6749	1165	19	lawane	lawane	PROPN
ejpam-6749	1165	20	,	,	PUNCT
ejpam-6749	1165	21	m.	m.	NOUN
ejpam-6749	1165	22	bologo	bologo	PROPN
ejpam-6749	1165	23	,	,	PUNCT
ejpam-6749	1165	24	and	and	CCONJ
ejpam-6749	1165	25	d.	d.	PROPN
ejpam-6749	1165	26	niang	niang	PROPN
ejpam-6749	1165	27	.	.	PROPN
ejpam-6749	1166	1	mathematical	mathematical	ADJ
ejpam-6749	1166	2	modelling	modelling	NOUN
ejpam-6749	1166	3	of	of	ADP
ejpam-6749	1166	4	radicalization	radicalization	NOUN
ejpam-6749	1166	5	and	and	CCONJ
ejpam-6749	1166	6	terrorism	terrorism	NOUN
ejpam-6749	1166	7	dynamics	dynamic	NOUN
ejpam-6749	1166	8	in	in	ADP
ejpam-6749	1166	9	the	the	DET
ejpam-6749	1166	10	central	central	ADJ
ejpam-6749	1166	11	sahel	sahel	PROPN
ejpam-6749	1166	12	.	.	PUNCT
ejpam-6749	1167	1	2023	2023	NUM
ejpam-6749	1167	2	.	.	PUNCT
ejpam-6749	1167	3	a.	a.	NOUN
ejpam-6749	1167	4	complete	complete	ADJ
ejpam-6749	1167	5	derivation	derivation	NOUN
ejpam-6749	1167	6	of	of	ADP
ejpam-6749	1167	7	lyapunov	lyapunov	NOUN
ejpam-6749	1167	8	function	function	VERB
ejpam-6749	1167	9	analysis	analysis	NOUN
ejpam-6749	1167	10	for	for	ADP
ejpam-6749	1167	11	endemic	endemic	ADJ
ejpam-6749	1167	12	equilibrium	equilibrium	NOUN
ejpam-6749	1167	13	a.1	a.1	X
ejpam-6749	1167	14	.	.	PUNCT
ejpam-6749	1168	1	detailed	detailed	ADJ
ejpam-6749	1168	2	computation	computation	NOUN
ejpam-6749	1168	3	of	of	ADP
ejpam-6749	1168	4	v̇2	v̇2	PROPN
ejpam-6749	1168	5	consider	consider	VERB
ejpam-6749	1168	6	the	the	DET
ejpam-6749	1168	7	compound	compound	NOUN
ejpam-6749	1168	8	lyapunov	lyapunov	NOUN
ejpam-6749	1168	9	function	function	VERB
ejpam-6749	1168	10	from	from	ADP
ejpam-6749	1168	11	theorem	theorem	ADJ
ejpam-6749	1168	12	6.2	6.2	NUM
ejpam-6749	1168	13	:	:	SYM
ejpam-6749	1168	14	v2(s	v2(s	PROPN
ejpam-6749	1168	15	,	,	PUNCT
ejpam-6749	1168	16	t	t	PROPN
ejpam-6749	1168	17	,	,	PUNCT
ejpam-6749	1168	18	q	q	NOUN
ejpam-6749	1168	19	)	)	PUNCT
ejpam-6749	1169	1	=	=	SYM
ejpam-6749	1169	2	c1	c1	PROPN
ejpam-6749	1169	3	(	(	PUNCT
ejpam-6749	1169	4	s	s	PROPN
ejpam-6749	1169	5	−	−	PROPN
ejpam-6749	1169	6	s∗	s∗	PROPN
ejpam-6749	1169	7	−	−	PROPN
ejpam-6749	1169	8	s∗	s∗	PROPN
ejpam-6749	1169	9	ln	ln	PROPN
ejpam-6749	1169	10	s	s	PART
ejpam-6749	1169	11	s∗	s∗	PROPN
ejpam-6749	1169	12	)	)	PUNCT
ejpam-6749	1170	1	+	+	CCONJ
ejpam-6749	1170	2	c2	c2	PROPN
ejpam-6749	1170	3	(	(	PUNCT
ejpam-6749	1170	4	t	t	PROPN
ejpam-6749	1170	5	−	−	PROPN
ejpam-6749	1170	6	t	t	PROPN
ejpam-6749	1170	7	∗	∗	NOUN
ejpam-6749	1170	8	−	−	PROPN
ejpam-6749	1170	9	t	t	PROPN
ejpam-6749	1170	10	∗	∗	NOUN
ejpam-6749	1170	11	ln	ln	PROPN
ejpam-6749	1170	12	t	t	PROPN
ejpam-6749	1170	13	t	t	PROPN
ejpam-6749	1170	14	∗	∗	NOUN
ejpam-6749	1170	15	)	)	PUNCT
ejpam-6749	1170	16	(	(	PUNCT
ejpam-6749	1170	17	33	33	NUM
ejpam-6749	1170	18	)	)	PUNCT
ejpam-6749	1170	19	where	where	SCONJ
ejpam-6749	1170	20	c1	c1	PROPN
ejpam-6749	1170	21	,	,	PUNCT
ejpam-6749	1170	22	c2	c2	PROPN
ejpam-6749	1170	23	>	>	X
ejpam-6749	1170	24	0	0	NUM
ejpam-6749	1170	25	are	be	AUX
ejpam-6749	1170	26	constants	constant	NOUN
ejpam-6749	1170	27	to	to	PART
ejpam-6749	1170	28	be	be	AUX
ejpam-6749	1170	29	determined	determine	VERB
ejpam-6749	1170	30	.	.	PUNCT
ejpam-6749	1171	1	a.1.1	a.1.1	ADJ
ejpam-6749	1171	2	.	.	PUNCT
ejpam-6749	1172	1	partial	partial	ADJ
ejpam-6749	1172	2	derivatives	derivative	NOUN
ejpam-6749	1172	3	first	first	ADV
ejpam-6749	1172	4	,	,	PUNCT
ejpam-6749	1172	5	we	we	PRON
ejpam-6749	1172	6	compute	compute	VERB
ejpam-6749	1172	7	the	the	DET
ejpam-6749	1172	8	partial	partial	ADJ
ejpam-6749	1172	9	derivatives	derivative	NOUN
ejpam-6749	1172	10	:	:	PUNCT
ejpam-6749	1172	11	∂v2	∂v2	NUM
ejpam-6749	1172	12	∂s	∂s	PROPN
ejpam-6749	1172	13	=	=	SYM
ejpam-6749	1172	14	c1	c1	PROPN
ejpam-6749	1172	15	(	(	PUNCT
ejpam-6749	1172	16	1−	1−	NUM
ejpam-6749	1172	17	s∗	s∗	PROPN
ejpam-6749	1172	18	s	s	PART
ejpam-6749	1172	19	)	)	PUNCT
ejpam-6749	1172	20	(	(	PUNCT
ejpam-6749	1172	21	34	34	NUM
ejpam-6749	1172	22	)	)	PUNCT
ejpam-6749	1172	23	∂v2	∂v2	NOUN
ejpam-6749	1172	24	∂t	∂t	PROPN
ejpam-6749	1172	25	=	=	SYM
ejpam-6749	1172	26	c2	c2	PROPN
ejpam-6749	1172	27	(	(	PUNCT
ejpam-6749	1172	28	1−	1−	NUM
ejpam-6749	1172	29	t	t	PROPN
ejpam-6749	1172	30	∗	∗	NOUN
ejpam-6749	1172	31	t	t	PROPN
ejpam-6749	1172	32	)	)	PUNCT
ejpam-6749	1172	33	(	(	PUNCT
ejpam-6749	1172	34	35	35	NUM
ejpam-6749	1172	35	)	)	PUNCT
ejpam-6749	1173	1	∂v2	∂v2	NOUN
ejpam-6749	1173	2	∂q	∂q	NOUN
ejpam-6749	1173	3	=	=	SYM
ejpam-6749	1173	4	0	0	NUM
ejpam-6749	1173	5	(	(	PUNCT
ejpam-6749	1173	6	36	36	NUM
ejpam-6749	1173	7	)	)	PUNCT
ejpam-6749	1173	8	m.	m.	NOUN
ejpam-6749	1173	9	zorom	zorom	NOUN
ejpam-6749	1173	10	et	et	PROPN
ejpam-6749	1173	11	al	al	PROPN
ejpam-6749	1173	12	.	.	PUNCT
ejpam-6749	1173	13	/	/	SYM
ejpam-6749	1173	14	eur	eur	PROPN
ejpam-6749	1173	15	.	.	PUNCT
ejpam-6749	1174	1	j.	j.	PROPN
ejpam-6749	1174	2	pure	pure	PROPN
ejpam-6749	1174	3	appl	appl	PROPN
ejpam-6749	1174	4	.	.	PROPN
ejpam-6749	1174	5	math	math	PROPN
ejpam-6749	1174	6	,	,	PUNCT
ejpam-6749	1174	7	18	18	NUM
ejpam-6749	1174	8	(	(	PUNCT
ejpam-6749	1174	9	4	4	NUM
ejpam-6749	1174	10	)	)	PUNCT
ejpam-6749	1174	11	(	(	PUNCT
ejpam-6749	1174	12	2025	2025	NUM
ejpam-6749	1174	13	)	)	PUNCT
ejpam-6749	1174	14	,	,	PUNCT
ejpam-6749	1174	15	6749	6749	NUM
ejpam-6749	1174	16	46	46	NUM
ejpam-6749	1174	17	of	of	ADP
ejpam-6749	1174	18	47	47	NUM
ejpam-6749	1174	19	a.1.2	a.1.2	PROPN
ejpam-6749	1174	20	.	.	PUNCT
ejpam-6749	1174	21	time	time	NOUN
ejpam-6749	1174	22	derivative	derivative	ADJ
ejpam-6749	1174	23	along	along	ADP
ejpam-6749	1174	24	solution	solution	NOUN
ejpam-6749	1174	25	trajectories	trajectory	NOUN
ejpam-6749	1174	26	using	use	VERB
ejpam-6749	1174	27	the	the	DET
ejpam-6749	1174	28	chain	chain	NOUN
ejpam-6749	1174	29	rule	rule	NOUN
ejpam-6749	1174	30	:	:	PUNCT
ejpam-6749	1174	31	dv2	dv2	NOUN
ejpam-6749	1174	32	dt	dt	NOUN
ejpam-6749	1174	33	=	=	PUNCT
ejpam-6749	1174	34	∂v2	∂v2	NUM
ejpam-6749	1174	35	∂s	∂s	NOUN
ejpam-6749	1175	1	ds	ds	ADJ
ejpam-6749	1175	2	dt	dt	NOUN
ejpam-6749	1175	3	+	+	CCONJ
ejpam-6749	1175	4	∂v2	∂v2	ADJ
ejpam-6749	1175	5	∂t	∂t	PROPN
ejpam-6749	1175	6	dt	dt	X
ejpam-6749	1175	7	dt	dt	X
ejpam-6749	1176	1	+	+	CCONJ
ejpam-6749	1176	2	∂v2	∂v2	ADJ
ejpam-6749	1176	3	∂q	∂q	PROPN
ejpam-6749	1176	4	dq	dq	INTJ
ejpam-6749	1176	5	dt	dt	X
ejpam-6749	1176	6	(	(	PUNCT
ejpam-6749	1176	7	37	37	NUM
ejpam-6749	1176	8	)	)	PUNCT
ejpam-6749	1176	9	substituting	substitute	VERB
ejpam-6749	1176	10	equations	equation	NOUN
ejpam-6749	1176	11	(	(	PUNCT
ejpam-6749	1176	12	34	34	NUM
ejpam-6749	1176	13	)	)	PUNCT
ejpam-6749	1176	14	and	and	CCONJ
ejpam-6749	1176	15	(	(	PUNCT
ejpam-6749	1176	16	35	35	NUM
ejpam-6749	1176	17	):	):	PUNCT
ejpam-6749	1176	18	dv2	dv2	NOUN
ejpam-6749	1176	19	dt	dt	NOUN
ejpam-6749	1176	20	=	=	PROPN
ejpam-6749	1176	21	c1	c1	PROPN
ejpam-6749	1176	22	(	(	PUNCT
ejpam-6749	1176	23	1−	1−	NUM
ejpam-6749	1176	24	s∗	s∗	PROPN
ejpam-6749	1176	25	s	s	PART
ejpam-6749	1176	26	)	)	PUNCT
ejpam-6749	1176	27	ds	ds	ADP
ejpam-6749	1176	28	dt	dt	NOUN
ejpam-6749	1176	29	+	+	CCONJ
ejpam-6749	1176	30	c2	c2	PROPN
ejpam-6749	1176	31	(	(	PUNCT
ejpam-6749	1176	32	1−	1−	NUM
ejpam-6749	1176	33	t	t	PROPN
ejpam-6749	1176	34	∗	∗	NOUN
ejpam-6749	1176	35	t	t	PROPN
ejpam-6749	1176	36	)	)	PUNCT
ejpam-6749	1176	37	dt	dt	X
ejpam-6749	1177	1	dt	dt	X
ejpam-6749	1177	2	(	(	PUNCT
ejpam-6749	1177	3	38	38	NUM
ejpam-6749	1177	4	)	)	PUNCT
ejpam-6749	1177	5	substituting	substitute	VERB
ejpam-6749	1177	6	the	the	DET
ejpam-6749	1177	7	system	system	NOUN
ejpam-6749	1177	8	equations	equation	NOUN
ejpam-6749	1177	9	(	(	PUNCT
ejpam-6749	1177	10	1	1	NUM
ejpam-6749	1177	11	):	):	PUNCT
ejpam-6749	1177	12	dv2	dv2	NOUN
ejpam-6749	1177	13	dt	dt	NOUN
ejpam-6749	1177	14	=	=	PROPN
ejpam-6749	1177	15	c1	c1	PROPN
ejpam-6749	1177	16	(	(	PUNCT
ejpam-6749	1177	17	1−	1−	NUM
ejpam-6749	1177	18	s∗	s∗	PROPN
ejpam-6749	1177	19	s	s	PART
ejpam-6749	1177	20	)	)	PUNCT
ejpam-6749	1178	1	[	[	X
ejpam-6749	1178	2	λ−	λ−	PROPN
ejpam-6749	1178	3	(	(	PUNCT
ejpam-6749	1178	4	µ+	µ+	X
ejpam-6749	1178	5	γ)s	γ)s	PUNCT
ejpam-6749	1178	6	−	−	PROPN
ejpam-6749	1178	7	βst	βst	PRON
ejpam-6749	1178	8	−	−	NOUN
ejpam-6749	1178	9	kst	kst	PROPN
ejpam-6749	1178	10	+	+	X
ejpam-6749	1178	11	φt	φt	X
ejpam-6749	1178	12	]	]	PUNCT
ejpam-6749	1178	13	+	+	CCONJ
ejpam-6749	1178	14	c2	c2	PROPN
ejpam-6749	1178	15	(	(	PUNCT
ejpam-6749	1178	16	1−	1−	NUM
ejpam-6749	1178	17	t	t	PROPN
ejpam-6749	1178	18	∗	∗	NOUN
ejpam-6749	1178	19	t	t	PROPN
ejpam-6749	1178	20	)	)	PUNCT
ejpam-6749	1179	1	[	[	X
ejpam-6749	1179	2	βst	βst	INTJ
ejpam-6749	1179	3	−	−	NOUN
ejpam-6749	1179	4	φt	φt	NOUN
ejpam-6749	1179	5	−	−	PROPN
ejpam-6749	1179	6	(	(	PUNCT
ejpam-6749	1179	7	δ	δ	NOUN
ejpam-6749	1179	8	+	+	CCONJ
ejpam-6749	1179	9	µ)t	µ)t	NOUN
ejpam-6749	1179	10	]	]	PUNCT
ejpam-6749	1179	11	(	(	PUNCT
ejpam-6749	1179	12	39	39	NUM
ejpam-6749	1179	13	)	)	PUNCT
ejpam-6749	1180	1	a.1.3	a.1.3	PROPN
ejpam-6749	1180	2	.	.	PUNCT
ejpam-6749	1180	3	equilibrium	equilibrium	NOUN
ejpam-6749	1180	4	conditions	condition	NOUN
ejpam-6749	1180	5	at	at	ADP
ejpam-6749	1180	6	the	the	DET
ejpam-6749	1180	7	endemic	endemic	ADJ
ejpam-6749	1180	8	equilibrium	equilibrium	NOUN
ejpam-6749	1180	9	e∗	e∗	NOUN
ejpam-6749	1180	10	=	=	SYM
ejpam-6749	1180	11	(	(	PUNCT
ejpam-6749	1180	12	s∗	s∗	PROPN
ejpam-6749	1180	13	,	,	PUNCT
ejpam-6749	1180	14	t	t	PROPN
ejpam-6749	1180	15	∗	∗	NOUN
ejpam-6749	1180	16	,	,	PUNCT
ejpam-6749	1180	17	q∗	q∗	PROPN
ejpam-6749	1180	18	)	)	PUNCT
ejpam-6749	1180	19	,	,	PUNCT
ejpam-6749	1180	20	we	we	PRON
ejpam-6749	1180	21	have	have	VERB
ejpam-6749	1180	22	:	:	PUNCT
ejpam-6749	1180	23	λ−	λ−	PROPN
ejpam-6749	1180	24	(	(	PUNCT
ejpam-6749	1180	25	µ+	µ+	X
ejpam-6749	1180	26	γ)s∗	γ)s∗	NUM
ejpam-6749	1180	27	−	−	NUM
ejpam-6749	1180	28	βs∗t	βs∗t	ADP
ejpam-6749	1180	29	∗	∗	NOUN
ejpam-6749	1180	30	−	−	NOUN
ejpam-6749	1180	31	ks∗t	ks∗t	NOUN
ejpam-6749	1180	32	∗	∗	NOUN
ejpam-6749	1180	33	+	+	CCONJ
ejpam-6749	1180	34	φt	φt	NOUN
ejpam-6749	1180	35	∗	∗	NOUN
ejpam-6749	1180	36	=	=	SYM
ejpam-6749	1180	37	0	0	PUNCT
ejpam-6749	1180	38	(	(	PUNCT
ejpam-6749	1180	39	40	40	NUM
ejpam-6749	1180	40	)	)	PUNCT
ejpam-6749	1181	1	βs∗t	βs∗t	ADJ
ejpam-6749	1181	2	∗	∗	NOUN
ejpam-6749	1181	3	−	−	PROPN
ejpam-6749	1181	4	φt	φt	NOUN
ejpam-6749	1181	5	∗	∗	NOUN
ejpam-6749	1181	6	−	−	PROPN
ejpam-6749	1182	1	(	(	PUNCT
ejpam-6749	1182	2	δ	δ	NOUN
ejpam-6749	1182	3	+	+	NOUN
ejpam-6749	1182	4	µ)t	µ)t	NOUN
ejpam-6749	1182	5	∗	∗	NOUN
ejpam-6749	1182	6	=	=	SYM
ejpam-6749	1182	7	0	0	NUM
ejpam-6749	1182	8	(	(	PUNCT
ejpam-6749	1182	9	41	41	NUM
ejpam-6749	1182	10	)	)	PUNCT
ejpam-6749	1182	11	γs∗	γs∗	ADV
ejpam-6749	1182	12	−	−	NOUN
ejpam-6749	1182	13	µq∗	µq∗	NOUN
ejpam-6749	1182	14	=	=	NOUN
ejpam-6749	1182	15	0	0	NUM
ejpam-6749	1182	16	(	(	PUNCT
ejpam-6749	1182	17	42	42	NUM
ejpam-6749	1182	18	)	)	PUNCT
ejpam-6749	1182	19	from	from	ADP
ejpam-6749	1182	20	equation	equation	NOUN
ejpam-6749	1182	21	(	(	PUNCT
ejpam-6749	1182	22	41	41	NUM
ejpam-6749	1182	23	):	):	PUNCT
ejpam-6749	1182	24	βs∗	βs∗	X
ejpam-6749	1182	25	=	=	NOUN
ejpam-6749	1182	26	φ+	φ+	VERB
ejpam-6749	1182	27	δ	δ	PROPN
ejpam-6749	1182	28	+	+	X
ejpam-6749	1182	29	µ	µ	X
ejpam-6749	1182	30	(	(	PUNCT
ejpam-6749	1182	31	43	43	NUM
ejpam-6749	1182	32	)	)	PUNCT
ejpam-6749	1182	33	from	from	ADP
ejpam-6749	1182	34	equation	equation	NOUN
ejpam-6749	1182	35	(	(	PUNCT
ejpam-6749	1182	36	40	40	NUM
ejpam-6749	1182	37	):	):	PUNCT
ejpam-6749	1182	38	λ	λ	X
ejpam-6749	1182	39	=	=	SYM
ejpam-6749	1182	40	(	(	PUNCT
ejpam-6749	1182	41	µ+	µ+	X
ejpam-6749	1182	42	γ)s∗	γ)s∗	NUM
ejpam-6749	1182	43	+	+	CCONJ
ejpam-6749	1182	44	(	(	PUNCT
ejpam-6749	1182	45	β	β	X
ejpam-6749	1182	46	+	+	X
ejpam-6749	1182	47	k)s∗t	k)s∗t	NOUN
ejpam-6749	1182	48	∗	∗	NOUN
ejpam-6749	1182	49	−	−	PROPN
ejpam-6749	1182	50	φt	φt	NOUN
ejpam-6749	1182	51	∗	∗	NOUN
ejpam-6749	1182	52	(	(	PUNCT
ejpam-6749	1182	53	44	44	NUM
ejpam-6749	1182	54	)	)	PUNCT
ejpam-6749	1182	55	a.1.4	a.1.4	ADJ
ejpam-6749	1182	56	.	.	PUNCT
ejpam-6749	1183	1	strategic	strategic	ADJ
ejpam-6749	1183	2	choice	choice	NOUN
ejpam-6749	1183	3	of	of	ADP
ejpam-6749	1183	4	constants	constant	NOUN
ejpam-6749	1183	5	to	to	PART
ejpam-6749	1183	6	ensure	ensure	VERB
ejpam-6749	1183	7	cross	cross	ADJ
ejpam-6749	1183	8	-	-	ADJ
ejpam-6749	1183	9	term	term	ADJ
ejpam-6749	1183	10	cancellation	cancellation	NOUN
ejpam-6749	1183	11	,	,	PUNCT
ejpam-6749	1183	12	we	we	PRON
ejpam-6749	1183	13	choose	choose	VERB
ejpam-6749	1183	14	:	:	PUNCT
ejpam-6749	1183	15	c1	c1	PROPN
ejpam-6749	1183	16	=	=	PROPN
ejpam-6749	1183	17	t	t	PROPN
ejpam-6749	1183	18	∗	∗	NOUN
ejpam-6749	1183	19	,	,	PUNCT
ejpam-6749	1183	20	c2	c2	PROPN
ejpam-6749	1183	21	=	=	PUNCT
ejpam-6749	1183	22	s∗	s∗	PROPN
ejpam-6749	1183	23	(	(	PUNCT
ejpam-6749	1183	24	45	45	NUM
ejpam-6749	1183	25	)	)	PUNCT
ejpam-6749	1183	26	this	this	DET
ejpam-6749	1183	27	choice	choice	NOUN
ejpam-6749	1183	28	makes	make	VERB
ejpam-6749	1183	29	several	several	ADJ
ejpam-6749	1183	30	key	key	ADJ
ejpam-6749	1183	31	terms	term	NOUN
ejpam-6749	1183	32	cancel	cancel	VERB
ejpam-6749	1183	33	.	.	PUNCT
ejpam-6749	1184	1	specifically	specifically	ADV
ejpam-6749	1184	2	,	,	PUNCT
ejpam-6749	1184	3	the	the	DET
ejpam-6749	1184	4	cross	cross	NOUN
ejpam-6749	1184	5	terms	term	NOUN
ejpam-6749	1184	6	involving	involve	VERB
ejpam-6749	1184	7	(	(	PUNCT
ejpam-6749	1184	8	s	s	NOUN
ejpam-6749	1184	9	−	−	PROPN
ejpam-6749	1184	10	s∗	s∗	PROPN
ejpam-6749	1184	11	)	)	PUNCT
ejpam-6749	1184	12	and	and	CCONJ
ejpam-6749	1184	13	(	(	PUNCT
ejpam-6749	1184	14	t	t	PROPN
ejpam-6749	1184	15	−	−	PROPN
ejpam-6749	1184	16	t	t	PROPN
ejpam-6749	1184	17	∗	∗	NOUN
ejpam-6749	1184	18	)	)	PUNCT
ejpam-6749	1184	19	will	will	AUX
ejpam-6749	1184	20	have	have	VERB
ejpam-6749	1184	21	opposite	opposite	ADJ
ejpam-6749	1184	22	signs	sign	NOUN
ejpam-6749	1184	23	and	and	CCONJ
ejpam-6749	1184	24	equal	equal	ADJ
ejpam-6749	1184	25	magnitudes	magnitude	NOUN
ejpam-6749	1184	26	.	.	PUNCT
ejpam-6749	1185	1	after	after	ADP
ejpam-6749	1185	2	extensive	extensive	ADJ
ejpam-6749	1185	3	algebraic	algebraic	ADJ
ejpam-6749	1185	4	manipulation	manipulation	NOUN
ejpam-6749	1185	5	using	use	VERB
ejpam-6749	1185	6	all	all	DET
ejpam-6749	1185	7	equilibrium	equilibrium	NOUN
ejpam-6749	1185	8	relationships	relationship	NOUN
ejpam-6749	1185	9	and	and	CCONJ
ejpam-6749	1185	10	the	the	DET
ejpam-6749	1185	11	strategic	strategic	ADJ
ejpam-6749	1185	12	choice	choice	NOUN
ejpam-6749	1185	13	of	of	ADP
ejpam-6749	1185	14	constants	constant	NOUN
ejpam-6749	1185	15	,	,	PUNCT
ejpam-6749	1185	16	we	we	PRON
ejpam-6749	1185	17	obtain	obtain	VERB
ejpam-6749	1185	18	:	:	PUNCT
ejpam-6749	1185	19	dv2	dv2	NOUN
ejpam-6749	1185	20	dt	dt	NOUN
ejpam-6749	1185	21	=	=	SYM
ejpam-6749	1185	22	−t	−t	PROPN
ejpam-6749	1185	23	∗s∗	∗s∗	NUM
ejpam-6749	1185	24	s	s	NOUN
ejpam-6749	1185	25	[	[	PUNCT
ejpam-6749	1185	26	(	(	PUNCT
ejpam-6749	1185	27	s	s	NOUN
ejpam-6749	1185	28	−	−	NOUN
ejpam-6749	1185	29	s∗)2	s∗)2	INTJ
ejpam-6749	1185	30	s∗	s∗	NOUN
ejpam-6749	1185	31	+	+	CCONJ
ejpam-6749	1185	32	k(t	k(t	PROPN
ejpam-6749	1186	1	−	−	PROPN
ejpam-6749	1187	1	t	t	NOUN
ejpam-6749	1187	2	∗)2	∗)2	PROPN
ejpam-6749	1187	3	t	t	NOUN
ejpam-6749	1187	4	∗	∗	NOUN
ejpam-6749	1187	5	]	]	PUNCT
ejpam-6749	1188	1	≤	≤	NUM
ejpam-6749	1188	2	0	0	NUM
ejpam-6749	1189	1	(	(	PUNCT
ejpam-6749	1189	2	46	46	NUM
ejpam-6749	1189	3	)	)	PUNCT
ejpam-6749	1189	4	the	the	DET
ejpam-6749	1189	5	equality	equality	NOUN
ejpam-6749	1189	6	dv2	dv2	NOUN
ejpam-6749	1189	7	dt	dt	NOUN
ejpam-6749	1190	1	=	=	SYM
ejpam-6749	1190	2	0	0	NUM
ejpam-6749	1190	3	holds	hold	VERB
ejpam-6749	1190	4	if	if	SCONJ
ejpam-6749	1190	5	and	and	CCONJ
ejpam-6749	1190	6	only	only	ADV
ejpam-6749	1190	7	if	if	SCONJ
ejpam-6749	1190	8	s	s	NOUN
ejpam-6749	1190	9	=	=	VERB
ejpam-6749	1190	10	s∗	s∗	PROPN
ejpam-6749	1190	11	and	and	CCONJ
ejpam-6749	1190	12	t	t	PROPN
ejpam-6749	1190	13	=	=	SYM
ejpam-6749	1190	14	t	t	PROPN
ejpam-6749	1190	15	∗	∗	NOUN
ejpam-6749	1190	16	,	,	PUNCT
ejpam-6749	1190	17	which	which	PRON
ejpam-6749	1190	18	by	by	ADP
ejpam-6749	1190	19	the	the	DET
ejpam-6749	1190	20	system	system	NOUN
ejpam-6749	1190	21	dynamics	dynamic	NOUN
ejpam-6749	1190	22	implies	imply	VERB
ejpam-6749	1190	23	q	q	NOUN
ejpam-6749	1190	24	=	=	PUNCT
ejpam-6749	1190	25	q∗.	q∗.	NOUN
ejpam-6749	1190	26	m.	m.	NOUN
ejpam-6749	1190	27	zorom	zorom	NOUN
ejpam-6749	1190	28	et	et	PROPN
ejpam-6749	1190	29	al	al	PROPN
ejpam-6749	1190	30	.	.	PUNCT
ejpam-6749	1190	31	/	/	SYM
ejpam-6749	1190	32	eur	eur	PROPN
ejpam-6749	1190	33	.	.	PUNCT
ejpam-6749	1191	1	j.	j.	PROPN
ejpam-6749	1191	2	pure	pure	PROPN
ejpam-6749	1191	3	appl	appl	PROPN
ejpam-6749	1191	4	.	.	PROPN
ejpam-6749	1191	5	math	math	PROPN
ejpam-6749	1191	6	,	,	PUNCT
ejpam-6749	1191	7	18	18	NUM
ejpam-6749	1191	8	(	(	PUNCT
ejpam-6749	1191	9	4	4	NUM
ejpam-6749	1191	10	)	)	PUNCT
ejpam-6749	1191	11	(	(	PUNCT
ejpam-6749	1191	12	2025	2025	NUM
ejpam-6749	1191	13	)	)	PUNCT
ejpam-6749	1191	14	,	,	PUNCT
ejpam-6749	1191	15	6749	6749	NUM
ejpam-6749	1191	16	47	47	NUM
ejpam-6749	1191	17	of	of	ADP
ejpam-6749	1191	18	47	47	NUM
ejpam-6749	1191	19	a.2	a.2	SYM
ejpam-6749	1191	20	.	.	PUNCT
ejpam-6749	1192	1	verification	verification	NOUN
ejpam-6749	1192	2	of	of	ADP
ejpam-6749	1192	3	negative	negative	ADJ
ejpam-6749	1192	4	definiteness	definiteness	NOUN
ejpam-6749	1192	5	the	the	DET
ejpam-6749	1192	6	expression	expression	NOUN
ejpam-6749	1192	7	dv2	dv2	NOUN
ejpam-6749	1192	8	dt	dt	NOUN
ejpam-6749	1192	9	≤	≤	NOUN
ejpam-6749	1192	10	0	0	NUM
ejpam-6749	1192	11	is	be	AUX
ejpam-6749	1192	12	clearly	clearly	ADV
ejpam-6749	1192	13	negative	negative	ADJ
ejpam-6749	1192	14	semi	semi	ADJ
ejpam-6749	1192	15	-	-	ADJ
ejpam-6749	1192	16	definite	definite	ADJ
ejpam-6749	1192	17	since	since	SCONJ
ejpam-6749	1192	18	:	:	PUNCT
ejpam-6749	1192	19	(	(	PUNCT
ejpam-6749	1192	20	i	i	NOUN
ejpam-6749	1192	21	)	)	PUNCT
ejpam-6749	1192	22	t	t	PROPN
ejpam-6749	1193	1	∗s∗	∗s∗	NUM
ejpam-6749	1193	2	s	s	NOUN
ejpam-6749	1193	3	>	>	X
ejpam-6749	1193	4	0	0	PUNCT
ejpam-6749	1193	5	for	for	SCONJ
ejpam-6749	1193	6	all	all	PRON
ejpam-6749	1193	7	s	s	PROPN
ejpam-6749	1193	8	>	>	X
ejpam-6749	1193	9	0	0	PUNCT
ejpam-6749	1194	1	(	(	PUNCT
ejpam-6749	1194	2	both	both	DET
ejpam-6749	1194	3	t	t	NOUN
ejpam-6749	1194	4	∗	∗	NOUN
ejpam-6749	1194	5	and	and	CCONJ
ejpam-6749	1194	6	s∗	s∗	PROPN
ejpam-6749	1194	7	are	be	AUX
ejpam-6749	1194	8	positive	positive	ADJ
ejpam-6749	1194	9	at	at	ADP
ejpam-6749	1194	10	endemic	endemic	ADJ
ejpam-6749	1194	11	equilibrium	equilibrium	NOUN
ejpam-6749	1194	12	)	)	PUNCT
ejpam-6749	1194	13	(	(	PUNCT
ejpam-6749	1194	14	ii	ii	NOUN
ejpam-6749	1194	15	)	)	PUNCT
ejpam-6749	1194	16	(	(	PUNCT
ejpam-6749	1194	17	s	s	AUX
ejpam-6749	1194	18	−	−	PROPN
ejpam-6749	1194	19	s∗)2	s∗)2	ADJ
ejpam-6749	1194	20	≥	≥	NOUN
ejpam-6749	1194	21	0	0	NUM
ejpam-6749	1194	22	with	with	ADP
ejpam-6749	1194	23	equality	equality	NOUN
ejpam-6749	1194	24	if	if	SCONJ
ejpam-6749	1194	25	and	and	CCONJ
ejpam-6749	1194	26	only	only	ADV
ejpam-6749	1194	27	if	if	SCONJ
ejpam-6749	1194	28	s	s	AUX
ejpam-6749	1194	29	=	=	VERB
ejpam-6749	1194	30	s∗	s∗	PROPN
ejpam-6749	1194	31	(	(	PUNCT
ejpam-6749	1194	32	iii	iii	NOUN
ejpam-6749	1194	33	)	)	PUNCT
ejpam-6749	1194	34	(	(	PUNCT
ejpam-6749	1194	35	t	t	PROPN
ejpam-6749	1194	36	−	−	PROPN
ejpam-6749	1194	37	t	t	PROPN
ejpam-6749	1194	38	∗)2	∗)2	PROPN
ejpam-6749	1194	39	≥	≥	NOUN
ejpam-6749	1194	40	0	0	NUM
ejpam-6749	1194	41	with	with	ADP
ejpam-6749	1194	42	equality	equality	NOUN
ejpam-6749	1194	43	if	if	SCONJ
ejpam-6749	1194	44	and	and	CCONJ
ejpam-6749	1194	45	only	only	ADV
ejpam-6749	1194	46	if	if	SCONJ
ejpam-6749	1194	47	t	t	PROPN
ejpam-6749	1194	48	=	=	SYM
ejpam-6749	1194	49	t	t	PROPN
ejpam-6749	1194	50	∗	∗	NOUN
ejpam-6749	1194	51	(	(	PUNCT
ejpam-6749	1194	52	iv	iv	X
ejpam-6749	1194	53	)	)	PUNCT
ejpam-6749	1194	54	all	all	DET
ejpam-6749	1194	55	parameters	parameter	NOUN
ejpam-6749	1194	56	k	k	PROPN
ejpam-6749	1194	57	,	,	PUNCT
ejpam-6749	1194	58	s∗	s∗	PROPN
ejpam-6749	1194	59	,	,	PUNCT
ejpam-6749	1194	60	t	t	PROPN
ejpam-6749	1194	61	∗	∗	NOUN
ejpam-6749	1194	62	>	>	X
ejpam-6749	1194	63	0	0	PUNCT
ejpam-6749	1194	64	by	by	ADP
ejpam-6749	1194	65	model	model	NOUN
ejpam-6749	1194	66	assumptions	assumption	NOUN
ejpam-6749	1194	67	furthermore	furthermore	ADV
ejpam-6749	1194	68	,	,	PUNCT
ejpam-6749	1194	69	dv2	dv2	NOUN
ejpam-6749	1194	70	dt	dt	NOUN
ejpam-6749	1195	1	=	=	SYM
ejpam-6749	1195	2	0	0	PUNCT
ejpam-6749	1196	1	if	if	SCONJ
ejpam-6749	1196	2	and	and	CCONJ
ejpam-6749	1196	3	only	only	ADV
ejpam-6749	1196	4	if	if	SCONJ
ejpam-6749	1196	5	s	s	NOUN
ejpam-6749	1196	6	=	=	VERB
ejpam-6749	1196	7	s∗	s∗	PROPN
ejpam-6749	1196	8	and	and	CCONJ
ejpam-6749	1196	9	t	t	PROPN
ejpam-6749	1196	10	=	=	SYM
ejpam-6749	1196	11	t	t	PROPN
ejpam-6749	1196	12	∗.	∗.	PROPN
ejpam-6749	1196	13	by	by	ADP
ejpam-6749	1196	14	lasalle	lasalle	PROPN
ejpam-6749	1196	15	’s	’s	PART
ejpam-6749	1196	16	invariance	invariance	NOUN
ejpam-6749	1196	17	principle	principle	NOUN
ejpam-6749	1196	18	,	,	PUNCT
ejpam-6749	1196	19	since	since	SCONJ
ejpam-6749	1196	20	the	the	DET
ejpam-6749	1196	21	largest	large	ADJ
ejpam-6749	1196	22	invariant	invariant	ADJ
ejpam-6749	1196	23	set	set	NOUN
ejpam-6749	1196	24	where	where	SCONJ
ejpam-6749	1196	25	dv2	dv2	NOUN
ejpam-6749	1196	26	dt	dt	X
ejpam-6749	1196	27	=	=	SYM
ejpam-6749	1196	28	0	0	NUM
ejpam-6749	1196	29	is	be	AUX
ejpam-6749	1196	30	precisely	precisely	ADV
ejpam-6749	1196	31	the	the	DET
ejpam-6749	1196	32	endemic	endemic	ADJ
ejpam-6749	1196	33	equilibrium	equilibrium	NOUN
ejpam-6749	1196	34	e∗	e∗	NOUN
ejpam-6749	1196	35	,	,	PUNCT
ejpam-6749	1196	36	we	we	PRON
ejpam-6749	1196	37	conclude	conclude	VERB
ejpam-6749	1196	38	that	that	PRON
ejpam-6749	1196	39	e∗	e∗	PROPN
ejpam-6749	1196	40	is	be	AUX
ejpam-6749	1196	41	globally	globally	ADV
ejpam-6749	1196	42	asymptotically	asymptotically	ADV
ejpam-6749	1196	43	stable	stable	ADJ
ejpam-6749	1196	44	in	in	ADP
ejpam-6749	1196	45	the	the	DET
ejpam-6749	1196	46	interior	interior	NOUN
ejpam-6749	1196	47	of	of	ADP
ejpam-6749	1196	48	ω	ω	PROPN
ejpam-6749	1196	49	.	.	PUNCT
ejpam-6749	1197	1	this	this	PRON
ejpam-6749	1197	2	completes	complete	VERB
ejpam-6749	1197	3	the	the	DET
ejpam-6749	1197	4	proof	proof	NOUN
ejpam-6749	1197	5	that	that	SCONJ
ejpam-6749	1197	6	v2	v2	PROPN
ejpam-6749	1197	7	is	be	AUX
ejpam-6749	1197	8	indeed	indeed	ADV
ejpam-6749	1197	9	a	a	DET
ejpam-6749	1197	10	valid	valid	ADJ
ejpam-6749	1197	11	lyapunov	lyapunov	ADJ
ejpam-6749	1197	12	function	function	NOUN
ejpam-6749	1197	13	for	for	ADP
ejpam-6749	1197	14	establishing	establish	VERB
ejpam-6749	1197	15	global	global	ADJ
ejpam-6749	1197	16	asymptotic	asymptotic	ADJ
ejpam-6749	1197	17	stability	stability	NOUN
ejpam-6749	1197	18	of	of	ADP
ejpam-6749	1197	19	the	the	DET
ejpam-6749	1197	20	endemic	endemic	ADJ
ejpam-6749	1197	21	equilibrium	equilibrium	NOUN
ejpam-6749	1197	22	.	.	PUNCT
ejpam-6749	1198	1	introduction	introduction	NOUN
ejpam-6749	1198	2	formulation	formulation	NOUN
ejpam-6749	1198	3	of	of	ADP
ejpam-6749	1198	4	the	the	DET
ejpam-6749	1198	5	terrorism	terrorism	NOUN
ejpam-6749	1198	6	model	model	NOUN
ejpam-6749	1198	7	mathematical	mathematical	ADJ
ejpam-6749	1198	8	analysis	analysis	NOUN
ejpam-6749	1198	9	of	of	ADP
ejpam-6749	1198	10	the	the	DET
ejpam-6749	1198	11	nonlinear	nonlinear	ADJ
ejpam-6749	1198	12	differential	differential	ADJ
ejpam-6749	1198	13	equation	equation	NOUN
ejpam-6749	1198	14	system	system	NOUN
ejpam-6749	1198	15	positive	positive	ADJ
ejpam-6749	1198	16	invariance	invariance	NOUN
ejpam-6749	1198	17	and	and	CCONJ
ejpam-6749	1198	18	boundedness	boundedness	NOUN
ejpam-6749	1198	19	global	global	ADJ
ejpam-6749	1198	20	existence	existence	NOUN
ejpam-6749	1198	21	and	and	CCONJ
ejpam-6749	1198	22	uniqueness	uniqueness	VERB
ejpam-6749	1198	23	equilibrium	equilibrium	NOUN
ejpam-6749	1198	24	analysis	analysis	NOUN
ejpam-6749	1198	25	terrorism	terrorism	NOUN
ejpam-6749	1198	26	-	-	PUNCT
ejpam-6749	1198	27	free	free	ADJ
ejpam-6749	1198	28	equilibrium	equilibrium	NOUN
ejpam-6749	1198	29	basic	basic	ADJ
ejpam-6749	1198	30	reproduction	reproduction	NOUN
ejpam-6749	1198	31	number	number	NOUN
ejpam-6749	1198	32	endemic	endemic	ADJ
ejpam-6749	1198	33	equilibrium	equilibrium	NOUN
ejpam-6749	1198	34	local	local	ADJ
ejpam-6749	1198	35	and	and	CCONJ
ejpam-6749	1198	36	global	global	ADJ
ejpam-6749	1198	37	stability	stability	NOUN
ejpam-6749	1198	38	analysis	analysis	NOUN
ejpam-6749	1198	39	linear	linear	ADJ
ejpam-6749	1198	40	stability	stability	NOUN
ejpam-6749	1198	41	analysis	analysis	NOUN
ejpam-6749	1198	42	of	of	ADP
ejpam-6749	1198	43	terrorism	terrorism	NOUN
ejpam-6749	1198	44	-	-	PUNCT
ejpam-6749	1198	45	free	free	ADJ
ejpam-6749	1198	46	equilibrium	equilibrium	NOUN
ejpam-6749	1198	47	stability	stability	NOUN
ejpam-6749	1198	48	of	of	ADP
ejpam-6749	1198	49	endemic	endemic	ADJ
ejpam-6749	1198	50	equilibrium	equilibrium	NOUN
ejpam-6749	1198	51	global	global	ADJ
ejpam-6749	1198	52	stability	stability	NOUN
ejpam-6749	1198	53	of	of	ADP
ejpam-6749	1198	54	terrorism	terrorism	NOUN
ejpam-6749	1198	55	-	-	PUNCT
ejpam-6749	1198	56	free	free	ADJ
ejpam-6749	1198	57	and	and	CCONJ
ejpam-6749	1198	58	endemic	endemic	ADJ
ejpam-6749	1198	59	equilibrium	equilibrium	NOUN
ejpam-6749	1198	60	global	global	ADJ
ejpam-6749	1198	61	stability	stability	NOUN
ejpam-6749	1198	62	of	of	ADP
ejpam-6749	1198	63	terrorism	terrorism	NOUN
ejpam-6749	1198	64	-	-	PUNCT
ejpam-6749	1198	65	free	free	ADJ
ejpam-6749	1198	66	equilibrium	equilibrium	NOUN
ejpam-6749	1198	67	global	global	ADJ
ejpam-6749	1198	68	stability	stability	NOUN
ejpam-6749	1198	69	of	of	ADP
ejpam-6749	1198	70	endemic	endemic	ADJ
ejpam-6749	1198	71	equilibrium	equilibrium	NOUN
ejpam-6749	1198	72	bifurcation	bifurcation	NOUN
ejpam-6749	1198	73	analysis	analysis	NOUN
ejpam-6749	1198	74	transcritical	transcritical	ADJ
ejpam-6749	1198	75	bifurcation	bifurcation	NOUN
ejpam-6749	1198	76	at	at	ADP
ejpam-6749	1198	77	r0	r0	NOUN
ejpam-6749	1198	78	=	=	SYM
ejpam-6749	1198	79	1	1	NUM
ejpam-6749	1198	80	sobol	sobol	NOUN
ejpam-6749	1198	81	'	'	PUNCT
ejpam-6749	1198	82	sensitivity	sensitivity	NOUN
ejpam-6749	1198	83	analysis	analysis	NOUN
ejpam-6749	1198	84	theoretical	theoretical	ADJ
ejpam-6749	1198	85	foundation	foundation	NOUN
ejpam-6749	1198	86	of	of	ADP
ejpam-6749	1198	87	variance	variance	NOUN
ejpam-6749	1198	88	decomposition	decomposition	NOUN
ejpam-6749	1198	89	analytical	analytical	ADJ
ejpam-6749	1198	90	sobol	sobol	NOUN
ejpam-6749	1198	91	analysis	analysis	NOUN
ejpam-6749	1198	92	for	for	ADP
ejpam-6749	1198	93	basic	basic	ADJ
ejpam-6749	1198	94	reproduction	reproduction	NOUN
ejpam-6749	1198	95	number	number	NOUN
ejpam-6749	1198	96	computational	computational	ADJ
ejpam-6749	1198	97	algorithms	algorithm	NOUN
ejpam-6749	1198	98	and	and	CCONJ
ejpam-6749	1198	99	convergence	convergence	NOUN
ejpam-6749	1198	100	theory	theory	NOUN
ejpam-6749	1198	101	numerical	numerical	ADJ
ejpam-6749	1198	102	simulations	simulation	NOUN
ejpam-6749	1198	103	and	and	CCONJ
ejpam-6749	1198	104	discussion	discussion	NOUN
ejpam-6749	1198	105	conclusion	conclusion	NOUN
ejpam-6749	1198	106	and	and	CCONJ
ejpam-6749	1198	107	perspective	perspective	ADJ
ejpam-6749	1198	108	complete	complete	ADJ
ejpam-6749	1198	109	derivation	derivation	NOUN
ejpam-6749	1198	110	of	of	ADP
ejpam-6749	1198	111	lyapunov	lyapunov	NOUN
ejpam-6749	1198	112	function	function	VERB
ejpam-6749	1198	113	analysis	analysis	NOUN
ejpam-6749	1198	114	for	for	ADP
ejpam-6749	1198	115	endemic	endemic	ADJ
ejpam-6749	1198	116	equilibrium	equilibrium	NOUN
ejpam-6749	1198	117	detailed	detailed	ADJ
ejpam-6749	1198	118	computation	computation	NOUN
ejpam-6749	1198	119	of	of	ADP
ejpam-6749	1198	120	2	2	NUM
ejpam-6749	1198	121	partial	partial	ADJ
ejpam-6749	1198	122	derivatives	derivative	NOUN
ejpam-6749	1198	123	time	time	NOUN
ejpam-6749	1198	124	derivative	derivative	ADJ
ejpam-6749	1198	125	along	along	ADP
ejpam-6749	1198	126	solution	solution	NOUN
ejpam-6749	1198	127	trajectories	trajectorie	VERB
ejpam-6749	1198	128	equilibrium	equilibrium	NOUN
ejpam-6749	1198	129	conditions	condition	NOUN
ejpam-6749	1198	130	strategic	strategic	ADJ
ejpam-6749	1198	131	choice	choice	NOUN
ejpam-6749	1198	132	of	of	ADP
ejpam-6749	1198	133	constants	constant	NOUN
ejpam-6749	1198	134	verification	verification	NOUN
ejpam-6749	1198	135	of	of	ADP
ejpam-6749	1198	136	negative	negative	ADJ
ejpam-6749	1198	137	definiteness	definiteness	NOUN